question 7

The annual per capita consumption of fresh bananas(in pounds) in the United States can be approximiated by the normaldistribution, with a mean of 8.1 pounds and a standard deviation of 2 pounds. 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 9

A manufacturer claims that the life span of its tires is 47,000 miles. You work for a consumer protection agency and you are testing these tires. Assume the life spans of the tires are normally distributed. You select 100 tires at random and test them. The mean life span is 46,889 miles. Assume =700. Complete parts(a) through(c).

(a) Assuming themanufacturer's claim iscorrect, what is the probability that the mean of the sample is 46,889 miles orless?________

(Round to four decimal places asneeded.)

(b) Using your answer from part(a), what do you think of themanufacturer's claim?

The claim is (accurate OR inaccurate)

because the sample mean (would not OR would)

be considered unusual since it (lies OR does not lie)

within the range of a usualevent, namely within (1 standard deviation OR 2 standard deviations OR 3 standard deviations)

of the mean of the sample means.

(c) Assuming themanufacturer's claim istrue, would it be unusual to have an individual tire with a life span of 46,889 miles? Why or whynot?

(Yes OR No)

, because 46,889 (does not lie OR lies) within the range of a usualevent, namely within (1 standard deviation OR 2 Standard Deviation OR 3 standard deviation) of the mean for an individual tire.

question 11

In a survey of women in a certain country(ages 2029), the mean height was 65.9 inches with a standard deviation of 2.76 inches. Answer the following questions about the specified normal distribution.

(a) What height represents the 95th percentile?

(b) What height represents the firstquartile?

..

(a) The height that represents the 95th percentile is ______inches.

(Round to two decimal places asneeded.)

(b) The height that represents the first quartile is

_____ inches.

(Round to two decimal places asneeded.)