# statistics

The weight of corn chips dispensed into a 19-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 19.5 ounces and a standard deviation of 0.1 ounce. Suppose 100 bags of chips are randomly selected. Find the probability that the mean weight of these 100 bags exceeds 19.6 ounces.

1. 👍 0
2. 👎 0
3. 👁 689
1. No answers given, but here is the process.

Z = (mean1 - mean2)/standard error (SE) of difference between means

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√(n-1)

Since only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score.

1. 👍 0
2. 👎 0
2. .6914

1. 👍 0
2. 👎 1

## Similar Questions

1. ### math

A 16 2/5 ounce package of medicated cough drops costs \$0.99. What is the unit cost? A. \$0.08 per ounce B. \$0.50 per ounce C. \$0.76 per ounce D.\$0.06 per ounce

2. ### math

There are 5 blue chips, 4 red chips and 3 yellow chips in a bag. One chip is drawn from the bag. That chip is placed back into the bag, and a second chip is drawn. What is the probability that the two selected chips are of

3. ### maths

Three bags of wheat,two bags of corn, and one bag of oats weigh the same as one bag of wheat,one bag of corn and five bags of oats,if two bags of corn and one bag of oats weights 25 pounds and one bags of corn weights 10

4. ### statistics

The amount of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified at possessing a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.1 ounce. Suppose 400 bags of chips

1. ### Math - for Reiny

Mandy finds she can get a discount on corn cobs if she buys in bulk. She can get 100 kilograms of corn cobs for \$160 from Matt, on condition that she buys at least 100 kilograms. From another supplier, Robert, she can buy small

2. ### stats

A company that manufactures and bottles apple juice has a machine that automatically fills 16-ounce bottles. There is some variation, however, in the exact amount of juice dispensed into each bottle. From a large number of

3. ### Math

Ferroza can buy a 24 ounce bag of ferret food for 1.19 or she can buy a 36 ounce bag for 2.89. which is the better deal?

4. ### Introduction to statistics

A vending machine dispenses coffee into an eight-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of .03 ounce. You can allow the cup to OVERFILL 1% of the time. What amount

1. ### Math

Crunchy Corn Chips are packaged in bags labeled "net weight 10 ounces." In fact, the weight of a bag of Crunchy Corn Chips follows a normal distribution with mean ì ounces and standard deviation ó ounces. Worried about customer

2. ### Math-Value of Mean

A brewery has a beer dispensing machine that dispenses beer into the company's 12 ounce bottles. The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.13

3. ### PROBABILITY MATH

A bag contains 10 red chips and 12 blue chips. Two chips are selected randomly without replacement from the bag. What is the probability that the two chips are the same color? Round your answer to 3 decimal places.. Help me find

4. ### Statistics

A machine fills 12 ounce bottles with soda. For the machine to function properly, the standard deviation of the sample must be less than or equal to 0.02 ounce. A sample of 8 bottles is selected, and the number of ounces of soda