question 24

The annual per capita consumption of fresh bananas(in pounds) in the United States can be approximiated by the normaldistribution, with a mean of 9.8 pounds and a standard deviation of 1 pound. Answer the following questions about the specified normal distribution.

(a) What is the smallest annual per capita consumption of bananas that can be in the top 10% ofconsumptions?

(b) What is the largest annual per capita consumption of bananas that can be in the bottom 5% ofconsumption?

question 25

A vending machine dispenses coffee into asixteen-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.01 ounce. You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to bedispensed?

_____ ounces

(Round to two decimal places asneeded.)

question 26

A population has a mean =70 and a standard deviation =36. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=81.

x=

(Simplify youranswer.)

quesiton 30

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

For a sample of n=75, find the probability of a sample mean being greater than 223 if =222 and =6.1.

For a sample of n=75, the probability of a sample mean being greater than 223 if =222 and =6.1 is

(Round to four decimal places asneeded.)

question 35

The height of women ages20-29 is normallydistributed, with a mean of 64.6 inches. Assume =2.4 inches. Are you more likely to randomly select 1 woman with a height less than 66.1 inches or are you more likely to select a sample of 27 women with a mean height less than 66.1 inches? Explain.

What is the probability of randomly selecting 1 woman with a height less than 66.1 inches?

(Round to four decimal places asneeded.)