# 2. The results of a recent survey indicate that the average new car costs $23,000, with a standard deviation of $3,500. The price of cars is normally distributed. a. What is a Z score for a car with a price

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### statistics

2. The results of a recent survey indicate that the average new car costs $23,000, with a standard deviation of $3,500. The price of cars is normally distributed. a. What is a Z score for a car with a price of $ 33,000?

### statistics

2. The results of a recent survey indicate that the average new car costs $23,000, with a standard deviation of $3,500. The price of cars is normally distributed. a. What is a Z score for a car with a price of $ 33,000? b. What is a Z score for a car with a price of $30,000? c...

### Research and Statistics

2. The results of a recent survey indicate that the average new car costs $23,000, with a standard deviation of $3,500. The price of cars is normally distributed. a. What is a Z score for a car with a price of $ 33,000? 9.415000 b. What is a Z score for a car with a price of $...

### statistics

In this question, use Excel functions rather than Normal distribution tables. The number of new cars sold by "Ma's New Car Factory" in a financial year can be approximated by a normal distribution with a mean of 125,000 cars and a standard deviation of 34,000 cars. Part A In ...

### statistics

A survey found that women's heights are normally distributed with mean 63.5 in. and standard deviation 2.3 in. The survey also found that men's heights are normally distributed with a mean 68.7 in. and a standard deviation 2.8. (a) Most of the live characters at an amusement ...

### statistics

The US Environmental Protection Agency reports the average fuel costs for various makes of cars. In recent years the fuel costs for mid‐size Japanese cars averaged $1200. Suppose that the annual fuel costs for various makes of automobiles are normally distributed and ...

### MATH; STANDARD DEVIATION

suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000 use 68-95-99.7 rule to find the percentage of buyers who paid: between $150,000 and $152,000 if the standard deviation is $1200

### math

A chemist test involves measuring two independent quantities A and B, the expressing the results of the test as C such that C= 3A-0.5B. Give that A is normally distributed with mean 10 and standard deviation of 1, and B is also normally distributed with mean 34 and standard ...

### maths

the police officer also gathered data on the speedsx, in kilometers per hour (km/h) of some cars as they drove down the hill towards her car. the speed limit is 50 km/h. Analysis of the results showed that the speeds of cars were normally distributed with a mean speed of 56 km...

### statistics

Suppose that the mpg rating of Passengers Cars is a normally distributed random variable with a mean and a standard deviation of 33,8 mpg and 3,5 mpg. Question : an automobiles manufacturer wants to build a new Passenger car with an mpg rating that improves upon 99% of ...

### Stats ()

Coal is carried from a mine in West Virginia to a power plant in Pittsburgh in hopper cars on a long train. The automatic hopper car loader is set to put 75 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed with an average of ...

### Statistics

WEB CALCULATOR EXERCISE Descriptive Statistics 1 The table below presents data for a sample of people who completed a religious survey. Age Gender Denomination Church Attendance 56 1 7 4 46 2 6 5 49 2 6 5 49 1 1 5 27 2 9 5 51 1 4 2 47 2 2 3 67 1 5 4 49 2 2 6 33 1 12 6 55 2 9 5...

### statistics

A used car dealership has found that the length of time before a major repair is required on the cars it sells is normally distributed with a mean of 10 months and a standard deviation of 3 months. If the dealer wants only 5 percent of the cars to fail before the end of the ...

### Math

You survey 1000 new home buyers and find that the mean price was $185,000 and the standard deviation was $20,000. How many paid more than $210,000?

### statistics

A survey found that women's heights are normally distributed with mean 62.4 in and standard deviation 2.8 in. The survey also found that men's heights are normally distributed with a mean of 68.9 in. and standard deviation 2.8. Complete parts a through c below. a. Most of the ...

### stats

The number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 19.22. A random sample of salespeople was taken and the number of cars each sold is listed her. 79 43 58 66 101 63 79 33 58 71 60 101 74 55 88 The 95% confidence ...

### math

The average selling price of homes in a certain city is $356,300. Assume the variable is normally distributed with a standard deviation of $64,600. If 396 homes are for sale, how many homes will sell for more than $325,000? (Round up to the next whole number.)

### ****HELP**** STATISTIC

The table below shows the probability distribution of the types of food purchased by students from the school cafeteria. What is the probability a student has purchased Caesar salad? (2 points) 0.17 Suppose houses are available for purchase during construction of a new housing...

### Help Please Statistic

7. The table below shows the probability distribution of the types of food purchased by students from the school cafeteria. What is the probability a student has purchased Caesar salad? (2 points) 0.17 Suppose houses are available for purchase during construction of a new ...

### math

Assume that the average annual salary for a worker in the United States is $30,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following: (A) What percentage of Americans earn below $19,000? (B) What ...

### Math

Assume that the average annual salary for a worker in the United States is $30,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following: (A) What percentage of Americans earn below $19,000? (B) What ...

### Statistics

According to internal testing done by the Get-A-Grip tire company, the lifetime of tires sold on new cars is normally distributed with a mean of 23,000 miles, with a standard deviation of 2500 miles. If the claim by Get-A-Grip is true, what is the mean of the sampling ...

### Economics

The accompanying table shows a car manufacturer’s total cost of producing cars: Qty |TC| Variable Costs| Avg. Var. Costs| Avg. Total Costs| Avg. Fixed Costs 0 |$500,000| ---- | ---- | ---- |---- | 1 |540,000 | 2 |560,000 | 3 |570,000 | 4 |590,000 | 5 |620,000 | 6 |660,000 | ...

### Maths

A police officer gathered data on the speeds, in kilometres per hour (km/h), of some cars as they drove down hill towards her car. The speed limit is 50 km/h. Analysis of the results showed that the speeds of the cars were normally distributed with a mean speed of 56 km/h and ...

### math

a tire manufacturer believes that the tread life of its tires are normally distributed and will lst an average of 60,000 miles with a standard deviation of 3,000 miles. sixty-four randomly selected tires were tested and the average miles where the tire failed were recorded. ...

### Precalculus

1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage are normally distributed about 22.7. The ...

### Precalculus

1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage are normally distributed about 22.7. The ...

### precaculus

1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage are normally distributed about 22.7. The ...

### statistics

The average salary for graduates entering the actuarial field is $40,000. If the salaries are normally distributed with a standard deviation of $5000 (σ = 5000), find the probability that a graduate will have a salary over $45,000: P(X > 45,000).

### Econ/statistics

The monthly earnings of teachers is normally distributed with a mean of $3,000 and the standard deviation of $250. We select a sample of 87 teachers. The sampling distribution of the sample mean has an expected value and standard deviation of: a.) 3,000 and 26.8 b.) 3,000 and ...

### statistics

Car seat belts are tested for strength, and it is found the results are normally distributed with a mean of 2400 lb and a standard deviation of 400 lb. Using the 68-95-99.7 rule, find the percentage of scores between 1600 lb and 3200 lb.

### Stat

The salaries at a corporation are normally distributed with an average salary of $29,000 and a standard deviation of $4,000. What is the probability that an employee will have a salary between $22,520 and $23,480? Enter your answer rounded to exactly 4 decimal places.

### statistics

A new national survey found that Americans drink an average of 6 glasses of water daily, instead of the recommended 8. Assuming that the number of glasses of water is approximately normally distributed with a standard deviation of 1.7 glasses, what proportion of Americans ...

### Microeconomics

The following table indicates the prices various buyers are willing to pay for a Miata sports car: Buyer A Maximum price $50,000 Buyer B Maximum price $40,000 Buyer C Maximum price $30,000 Buyer D Maximum price $20,000 Buyer E Maximum price $10,000 The cost of producing the ...

### business statistics

A mortgage broker is offering home mortgage at a rate of 9.5% but is fearful that this value is higher than many others are charging. A sample of 40 mortgages files in the country court house shows an average of 9.25% with a standard deviation of 8.61%. Does this sample ...

### college/microeconomics

The following table indicates the prices various buyers are willing to pay for a Miata sports car: Buyer A Maximum price $50,000 Buyer B Maximum price $40,000 Buyer C Maximum price $30,000 Buyer D Maximum price $20,000 Buyer E Maximum price $10,000 The cost of producing the ...

### algebra 2

a survey of 20 colleges found that seniors graduated with an average $12000 in debt from student loans. The debt was normally distributed with a standard deviation of $3200. Find the probability that a senior graduated owing more than $16000.

### statistics

The number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 18. A random sample of 310 salespeople was taken and the mean number of cars sold annually was found to be 71. Find the 94% confidence interval estimate of the ...

### calculus

The salaries at a corporation are normally distributed with an average salary of $29,000 and a standard deviation of $4,000. Sixteen percent of the employees make more than Sara. What is Sara's salary? Round your answer to the nearest dollar.

### math

7. Professors’ Salaries The average salary for a Queens College full professor is $85,900. If the average salaries are normally distributed with a standard deviation of $11,000, find these probabilities. a. 0.3557 (TI: 0.3547) a. The professor makes more than $90,000. b. The...

### stats 2

3. Piyush, who had joined the infrastructure department of the bank, was asked to estimate the rental value of commercial property at Ranchi, for the purpose of identifying suitable premises for locating a new branch. Piyush assessed the standard deviation of the value of the ...

### Statistics

The distribution of student loan amounts for students is normally distributed ranging from zero to $100,000. Use your knowledge of the Empirical Rule to approximate the standard deviation of the dataset? A) approximately $21,000 B) approximately $12,500 C) approximately $19,...

### Math

8) A consumer groups tries to determine the most expensive items in a convenience store. Four items are purchased in the convenience store and compared to the average price in stores in the area. Assume tat the price distribution is normal. Use your calculator to determine the...

### STAT

A manufacturer of a new car claims the typical car will average 32 mpg of gasoline. An independent consumer group is skeptical of the claim and thinks the mean gas mileage is significantly different than the 32 claimed. A sample of 23 randomly selected cars produced a mean mpg...

### math

Eldon received 72 on his first calculus test. The marks were normally distributed with a mean of 60 and a standard deviation of 8. He received 80 on the next test, which was normally distributed with a mean of 75 and a standard deviation of 6. Which was the better mark, ...

### math

A study has shown that 20.05% of all college textbooks have a price of $80 or higher. It is known that the standard deviation of the price is $10. What is the mean price of the college textbooks? Assume the price is normally distributed.

### statistic

A random sample of 20 customers who drive luxury cars showed that their average distance driven between oil changes was 3187 miles with a sample standard deviation of 42.50 miles. Another sample of 10 customers who drive compact lower-price cars resulted in an average distance...

### math

Studies shown that gasoline use or compact cars sold in the U.S. is normally distributed, with a mean of 25.5 mpg and standard deviation of 4.5 mpg. Find the range of mileage for the middle 60% of compact cars.

### statistics

According to Advertising Age, the average base salary for women working as copywriters is $66,000. Assume that the salaries are normally distributed and that the standard deviation is $7,500. a. What is the probability of a woman receiving a salary between $60,000 and $75,000...

### Statistics

In a survey, the guess at the mean age for the class had a mean of 21.9 and a standard deviation of 3.03. Given that Normally distributed populations have a first quartile of Z=-0.67 and a third quartile of Z=.67, what does this suggest about whether or not these guesses are ...

### math

Daytime high temperatures in New York in February are normally distributed with an average of 30.2º and a standard deviation of 8.5º. Estimate the probability that the temperature on a given day in February is 22º or lower.

### history

Improved technology in the production of small cars often results in lower production costs. Which of the following will most likely result from these reduced production costs? 1)the price of domestic small cars will decrease. 2)the demand for domestic small cars will decrease...

### Math

I'm kinda stuck on my math homework, does anyone know how to do it? The results of a blood test at a medical lab are normally distributed with a mean of 60 and a standard deviation of 15. How low must a score be to lie in the lowest 5% of the results?

### Statistics

In 2015, the average price of new homes in a certain suburb was $145,000. Assume that this mean is based on a random sample of 1000 new home sales and that the sample standard deviation is $24,000. Construct a 99% confidence interval for the 2002 mean price of all such homes.

### Statistics

Assume that the average annual salary for a worker in the United States is 300,000- and that the annual salaries For Americans are normally distributed with a standard deviation equal to $7,000. Find the following: A. What percentage of Americans earn below $22,000? B. What ...

### social studies

improved technology in the production of small cars often results in lower production costs? which of the following will most likely result from these reduced production costs? (1)the price of domestic small cars will decrease. (2)the demand for domestic small cars will ...

### statistics

The duration of time it takes General Motors to build a car is normally distributed with a mean of 31 hours and a standard deviation of 2 hours. a) What is the probability that a single car, selected at random, will take between 28 and 34 hours? b) What is the probability that...

### statistics

Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6. What is the percentile rank of a score of 89?

### MAT201-Basic Statistics

A dealership sold 15 cars last month. The purchase price of the cars, rounded to the nearest thousand, is represented in the table Purchase Price/# of cars sold $15,000 3 $20,000 4 $23,000 5 $25,000 2 $45,000 1 A.Find the mean and median B. Which measures best represents the ...

### math please help

Studies shown that gasoline use or compact cars sold in the U.S. is normally distributed, with a mean of 25.5 mpg and standard deviation of 4.5 mpg. Find the range of mileage for the middle 60% of compact cars. I have no idea how to do this with the percent.

### math

Assume that the average annual salary for a worker in the United States is $32,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Find the following: (A) What percentage of Americans earn below $24,000? (B) What ...

### Math - Data Management

I'm kinda stuck on my math homework, does anyone know how to do it? The results of a blood test at a medical lab are normally distributed with a mean of 60 and a standard deviation of 15. How low must a score be to lie in the lowest 5% of the results?

### statistics

The daily sales of a retail store are normally distributed with a standard deviation of $500. If the probability that sales will be less than $10,000 in any one day is 40%, what are the mean daily sales?

### Statistics

The daily sales of a retail store are normally distributed with a standard deviation of $500. If the probability that sales will be less than $10,000 in any one day is 40%, what are the mean daily sales?

### state

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 55 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ì = 55 ...

### Statistics

The National Highway Traffic Safety Administration analyzes the crash test data for new cars. One variable measured is the severity of the injury due to a collision. The higher the severity, the higher the points assigned. Assume that the injury rating is normally distributed ...

### math - Please help me to understand

The average selling price of homes in a certain city is $356,300. Assume the variable is normally distributed with a standard deviation of $64,600. If 396 homes are for sale, how many homes will sell for more than $325,000? (Round up to the next whole number.) I don't ...

### math - Please help me to understand

The average selling price of homes in a certain city is $356,300. Assume the variable is normally distributed with a standard deviation of $64,600. If 396 homes are for sale, how many homes will sell for more than $325,000? (Round up to the next whole number.) I don't ...

### Statistics

The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by ...

### statistics

The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by ...

### Statistics

In 2002, the average price of new homes in a certain suburb was $145,000. Assume that this mean is based on a random sample of 1000 new home sales and that the sample standard deviation is $24,000. Construct a 95% confidence interval for the 2002 mean price of all such homes

### statistics

The National Highway Traffic Safety Administration analyzes the crash test data for new cars. One variable measured is the severity of the injury due to a collision. The higher the severity, the higher the points assigned. Assume that the injury rating is normally distributed ...

### College of education ekiadolor Benin

The scores of an achievement test given to 100,000 students are normally distributed with mean 500 and standard deviation 100.what should the score of a student be to place him or her among the 10% of the students?

### math(pls help me)

1.The management committee of Zenith has indicated its desire to accept only 40% of all continuing undergraduate based on the results of the end-of-second semester examinations.the mean score of the examination is 500 and standard deviation of 100.Find the cut off score for ...

### statistic

A survey found that women's heights are normally distributed with mean 62.5 in. and standard deviation 2.7 in. The survey also found that men's heights are normally distributed with a mean 67.9 in. and standard deviation 2.8 . Complete parts a through c below. a...

### maths

Experience in investigating insurance claims shows that the average cost to process a claim is approximately normally distributed with a mean of 80 dollars. New cost-cutting measures were started and a sample of 25 claims was tested. The sample mean of the costs to process ...

### math probability

Daytime high temperatures in New York in February are normally distributed with an average of 30.2º and a standard deviation of 8.5º. Estimate the probability that the temperature on a given day in February is 39º or higher.

### Computer Science

You want to buy a new car, and you are thinking about two alternatives, car A and car B. You like both cars, and you are considering keeping whichever one you buy for many years to come. As a result, you want to evaluate the total cost of ownership of both cars over many years...

### Computer Science

You want to buy a new car, and you are thinking about two alternatives, car A and car B. You like both cars, and you are considering keeping whichever one you buy for many years to come. As a result, you want to evaluate the total cost of ownership of both cars over many years...

### Statistics Please help me :(

I have no idea where to even start. Suppose heights of men are normally distributed with a mean 69.0 inches and standard deviation 2.8 inches. How many of a group of 1000 men would you expect to be between 70 and 72 inches tall? Round to the nearest whole number. Suppose ...

### statistics

The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If the variable is normally distributed, what is the probability that a randomly selected town will have a homicide rate greater than 14?

### statistics

It is well known that the heights of individual American men are normally distributed with mean 70 inches and standard deviation 2.8 inches. The Central Limit Theorem states that if n men are randomly chosen, then their average height will also be normally distributed with ...

### Statistics

Battery manufacturers compete on the basis of the amount of time their products last in cameras and toys. A manufacturer of alkaline batteries has observed that it's batteries last for an average of 26 hours when used in a toy racing car. The amount of time is normally ...

### Statistics

The mean amount spent by a family on food per month is $500 with a standard deviation of $75. Assuming that the food costs are normally distributed, what is the probability that a family spends more than $410 per month? Plesase show formula and calcuation.

### Accounting

If fixed costs are $240,000, the unit selling price is $32, and the unit variable costs are $20, what are the old and new break-even sales (units) if the unit selling price increases by $4? a. 12,000 units and 15,000 units b. 7,500 units and 6,667 units c. 20,000 units and 30,...

### Statistics

find the 90% confidence interval for the variance and standard deviation of a sample of 16 and a standard deviation of 2.1 Assume the variable is normally distributed.

### statistics

The income of college students is normally distributed with a mean income per year is $12,000 and a standard deviation of $6,000. a)If we randomly sample 25 college students, what is the probability that the average income of our sample is less than $4,000? b)If we randomly ...

### statistics

It is claimed that an automobile is driven on the average more than 20,000 kilometers per year. Random sample of 10 automobile owners are asked to keep a record of the kilometers they travel. If the sample mean and standard deviation of automobile driven are found to be 23,500...

### math: 68-95-99.7 rule

suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000 use the rule to find the percentage of buyers who paid: between $150,000if the standard deviation is $1200

### Statistics

A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15. A sample of 36 students was selected. What is the probability that the average time ...

### statistics

A professor informs her class that a test is very difficult, but the grades will be curved. Scores for the test are normally distributed with a mean of 25 and a standards deviation of 5. If she curves the grades by adding 50 to each grade, What is the new mean? What is the new...

### statistics

A study found that citizens spend on average $1950 per year on groceries with a standard deviation of $100. Assume that the variable is normally distributed. 5. Identify the population mean. 6. Identify the population standard deviation. 7. Find the probability that a sample ...

### STAT

1. In a study of the income of U.S. factory workers, a random sample of 100 workers shows a sample mean of $35,000. Assume that the population standard deviation is $4,500, and that the population is normally distributed. A) Compute the 90%, 95% and 99% confidence intervals ...

### statistics

A survey was conducted to measure the number of hours per week adults spend on home computers. In the survey, the number of hours was normally distributed, with a mean of 8 hours and a standard deviation of 1 hour. A survey participant is randomly selected. Find the ...

### Statistics

9 points) In a normally distributed data set, find the value of the standard deviation if the following information is given. a. The mean is 226.2. x = 230. z = 0.2. Standard deviation

### statistics-normal distribution

a set of data is normally distributed with a mean of 500 and a standard deviation of 100. a) what would the standard score fora score of 700 be? b) what % of scores is between 500 and 700? c) what would the percentile rank for a score of 700?

### maths

The management committee of Oxford school has indicated its desire to accept only 40% of all continuing undergraduate based on the results of the end of second semester examinations.the mean score of the examination is 500 and a standard deviation of 100.find the cut off score...

### statistics

Section 5.3: Normal Distributions: Finding Values Answer the questions about the specified normal distribution. Q1: The lifetime of ZZZ batteries are normally distributed with a mean of 265 hours and a standard deviation ó of 10 hours. Find the number of hours that represent ...

### STATS

12- The number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 19.22. A random sample of salespeople was taken and the number of cars each sold is listed her. 79 43 58 66 101 63 79 33 58 71 60 101 74 55 88 The 95% confidence ...