A hotel maintenance crew wants to estimate how many of the 12,000 lamps in their 30-story hotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?
all lamps from the rooms with king-sized beds
all lamps in booked rooms
100 lamps on each floor chosen randomly
400 lamps on the first 10 floors
100 lamps on each floor chosen randomly
A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number.
To estimate the number of patrons who borrow novels, we can use the ratio of patrons who borrowed novels in the sample to the total sample size and apply it to the total number of patrons:
3 / 80 = x / 345
Solving for x:
x = 3 * 345 / 80
x ≈ 12
Approximately 12 patrons borrow novels when they visit the library.
Use the table to answer the question.
Group A 18 20 46 34 58 31 41
Group B 15 21 32 42 29 57 39The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times. Round your answers to one decimal place.(2 points)
The mean time Group A spent shopping is
minutes.
The mean time Group B spent shopping is
minutes.
The mean times Group A and Group B spent shopping differ by
minutes.
The mean time Group A spent shopping is:
(18 + 20 + 46 + 34 + 58 + 31 + 41) / 7 = 32.9 minutes (rounded to one decimal place)
The mean time Group B spent shopping is:
(15 + 21 + 32 + 42 + 29 + 57 + 39) / 7 = 33.7 minutes (rounded to one decimal place)
The mean times Group A and Group B spent shopping differ by:
33.7 - 32.9 = 0.8 minutes (rounded to one decimal place)
Which data set has the highest median?(1 point)
Responses
{8, 20, 13, 14, 12, 9}
, left brace 8 comma 20 comma 13 comma 14 comma 12 comma 9 right brace
{11, 15, 16, 8, 12, 14}
, left brace 11 comma 15 comma 16 comma 8 comma 12 comma 14 right brace
{1, 10, 8, 29, 14, 17, 3}
, left brace 1 comma 10 comma 8 comma 29 comma 14 comma 17 comma 3 right brace
{1, 6, 15, 7, 15, 18, 14}
left brace 1 comma 6 comma 15 comma 7 comma 15 comma 18 comma 14 right brace
{11, 15, 16, 8, 12, 14} , left brace 11 comma 15 comma 16 comma 8 comma 12 comma 14 right brace
To find the median of a data set, we arrange the values in order from least to greatest and find the middle value. If the data set has an even number of values, we take the average of the two middle values.
For the first data set, when we arrange the values in order, we get:
{8, 9, 12, 13, 14, 20}
The median is the middle value, which is 13.
For the second data set:
{8, 11, 12, 14, 15, 16}
The median is the average of the two middle values, which is (12+14)/2 = 13.
For the third data set:
{1, 3, 8, 10, 14, 17, 29}
The median is the middle value, which is 10.
For the fourth data set:
{1, 6, 7, 14, 15, 15, 18}
The median is also the average of the two middle values, which is (14+15)/2 = 14.5.
Therefore, the data set {11, 15, 16, 8, 12, 14} has the highest median, which is 13.
Use the table to answer the question.
Value per House Number of Houses
$150,000 2
$220,000 4
$490,000 3
$540,000 2
$800,000 5
$975,000 2The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?
To find the median value of the houses:
1. Arrange the values in order from least to greatest (or greatest to least).
2. Count the total number of houses.
3. If the number of houses is odd, the median value is the value that is exactly in the middle.
4. If the number of houses is even, the median value is the average of the two middle values.
First, we can list the values and their frequencies in order from least to greatest:
$150,000, $150,000, $220,000, $220,000, $220,000, $220,000, $490,000, $490,000, $490,000, $540,000, $540,000, $800,000, $800,000, $800,000, $800,000, $800,000, $975,000, $975,000
There are 18 houses in total, which is an even number, so we need to find the average of the two middle values. The two middle values are $490,000 and $540,000, so the median of the house values on Mango Street is:
($490,000 + $540,000) / 2 = $515,000
Therefore, the median value of the houses on Mango Street is $515,000.
Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on the previous six tests are listed. Whose mean test score will increase the most? (1 point)
Responses
Jose: 91, 93, 97, 96, 96, 96
Jose: 91, 93, 97, 96, 96, 96
Dana: 68, 74, 83, 80, 81, 82
Dana: 68, 74, 83, 80, 81, 82
Ara: 100, 98, 99, 97, 100, 100
Ara: 100, 98, 99, 97, 100, 100
Theo: 84, 88, 81, 85, 77, 76
To determine whose mean test score will increase the most, we need to calculate the mean for each student's previous six test scores and compare it to their perfect score of 100%.
Jose: (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.3%
Increase: 4.7%
Dana: (68 + 74 + 83 + 80 + 81 + 82) / 6 = 78.0%
Increase: 22.0%
Ara: (100 + 98 + 99 + 97 + 100 + 100) / 6 = 99.0%
Increase: 1.0%
Theo: (84 + 88 + 81 + 85 + 77 + 76) / 6 = 82.0%
Increase: 18.0%
Therefore, Dana's mean test score will increase the most, by 22%.
The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.
Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour)
Stem Leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1Key: 7|4=74 miles per hour
Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour)
Canada 90 128 91
U.S. 93 120 100
Mexico 95 92 85
Find the range of the speeds of the fastest steel roller coasters on both continents.
(1 point)
The range of the speeds of the fastest steel roller coasters in Europe is
mph. The range of the speeds of the fastest steel roller coasters in North America is
mph.
Skip to navigation
bot?
I am an AI language model created by OpenAI. How can I assist you?
Statistics Unit Test
8 of 158 of 15 Items
Question
The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.
Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour)
Stem Leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1Key: 7|4=74 miles per hour
Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour)
Canada 90 128 91
U.S. 93 120 100
Mexico 95 92 85
Find the range of the speeds of the fastest steel roller coasters on both continents.
(1 point)
The range of the speeds of the fastest steel roller coasters in Europe is
mph. The range of the speeds of the fastest steel roller coasters in North America is
mph.
The range of a set of data is the difference between the maximum value and the minimum value. To find the range of the speeds of the fastest steel roller coasters on both continents:
- For Europe, the minimum speed is 74 mph and the maximum speed is 119 mph (the stem is 11 and the leaf is 9). Therefore, the range is:
119 - 74 = 45 mph
- For North America, the minimum speed is 85 mph and the maximum speed is 128 mph. Therefore, the range is:
128 - 85 = 43 mph
Therefore, the range of the speeds of the fastest steel roller coasters in Europe is 45 mph and the range of the speeds of the fastest steel roller coasters in North America is 43 mph.
Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.
Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87
Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.
(2 points)
The mean daily high temperature of Sample 1 is
°.
The mean daily high temperature of Sample 2 is
°.
The mean daily high temperatures of the two samples differ by
°.
To find the mean (average) daily high temperature of each sample:
For sample 1, we add up all the temperatures and divide by the number of temperatures:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 85.1°F
The mean daily high temperature of Sample 1 is 85.1°F.
For sample 2, we add up all the temperatures and divide by the number of temperatures:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 85.8°F
The mean daily high temperature of Sample 2 is 85.8°F.
To calculate the difference between these mean daily high temperatures, we subtract Sample 1's mean temperature from Sample 2's mean temperature:
85.8 - 85.1 = 0.7°F
Therefore, the mean daily high temperatures of the two samples differ by 0.7°F.
The data from two random samples of 100 students regarding what pet they own is given below.
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?
To find the percentage of students who own a bird as a pet based on the two samples, we need to determine the total number of students who own a bird from both samples and divide by the total number of students:
Total number of students who own a bird: 8 + 12 = 20
Total number of students across both samples: 100 + 100 = 200
Percentage of students who own a bird: (20/200) x 100% = 10%
Therefore, based on the two samples, 10% of students own a bird as a pet.
These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals scored by each team. Based on the range, which team has a more consistent number of goals scored?
Lacrosse Team 1: 6 0 4 17 3 12
Lacrosse Team 2: 23 14 22 14 17 22(2 points)
The range of the number of goals scored by Lacrosse Team 1 is
. The range of the number of goals scored by Lacrosse Team 2 is
. Based on the range, Lacrosse Team
has a more consistent number of goals scored.
To find the range of the number of goals scored by each team, we need to subtract the smallest score from the largest score:
For Lacrosse Team 1:
Largest score: 17
Smallest score: 0
Range: 17 - 0 = 17
For Lacrosse Team 2:
Largest score: 23
Smallest score: 14
Range: 23 - 14 = 9
Since the range for Lacrosse Team 2 is smaller than the range for Lacrosse Team 1, Lacrosse Team 2 has a more consistent number of goals scored.
Use the image to answer the question.
An illustration shows two sets of dot plots. One is titled Gas Mileage in miles per gallon, Cars and the other is Gas Mileage in miles per gallon, S U Vs. The plots are shown as dots in a vertical row over each number on a number line. For Cars, a number line with arrows on both ends ranges from 18 to 22 in increments of 1. There is 1 dot above 18, 2 dots above 19, 3 dots above 20, 2 dots above 21, and 1 dot above 22. For S U Vs, a number line with arrows on both ends ranges from 21 to 25 in increments of 1. There is 1 dot above 21, 1 dot above 22, 2 dots above 23, 2 dots above 24, and 3 dots above 25.
The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
(1 point)
The data value in common for both distributions with the lowest number is
.
The data value in common for both distributions for the highest number is
.
The two distributions have the same gas mileages in the overlapping region, which is from 21 to 22 mpg. So:
The data value in common for both distributions with the lowest number is 21.
The data value in common for both distributions for the highest number is 22.
Use the image to answer the question.
An illustration shows two sets of dot plots. One is titled Gas Mileage in miles per gallon, Cars and the other is Gas Mileage in miles per gallon, S U Vs. The plots are shown as dots in a vertical row over each number on a number line. For Cars, a number line with arrows on both ends ranges from 18 to 22 in increments of 1. There is 1 dot above 18, 2 dots above 19, 3 dots above 20, 2 dots above 21, and 1 dot above 22. For S U Vs, a number line with arrows on both ends ranges from 21 to 25 in increments of 1. There is 1 dot above 21, 1 dot above 22, 2 dots above 23, 2 dots above 24, and 3 dots above 25.
The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
(1 point)
The data value in common for both distributions with the lowest number is
.
The data value in common for both distributions for the highest number is
The two distributions have the same gas mileages in the overlapping region, which is from 21 to 22 mpg. So:
The data value in common for both distributions with the lowest number is 21.
The data value in common for both distributions for the highest number is 22.
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
(2 points)
The median number of books read during the summer by Class 1 is
.
The median number of books read during the summer by Class 2 is
.
Class
has a higher median number of books read during the summer.
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
(1 point)
Responses
statements 1 and 3
statements 1 and 3
statements 1 and 2
statements 1 and 2
statements 2 and 3
statements 2 and 3
statements 1, 2, and 3