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1.The mean height of women in a country​ (ages

1.The mean height of women in a country​ (ages

20−​29)

is

63.7

inches. A random sample of

65

women in this age group is selected. What is the probability that the mean height for the sample is greater than

64

​inches? Assume

σ=2.91

2. A manufacturer claims that the lifespan 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

46,775

miles. Assume

σ=900

Complete parts​ (a) through​ (c).

​(a) Assuming the​ manufacturer’s claim is​ correct, what is the probability that the mean of the sample is

77546

miles or​ less?

3. Find the probability and interpret the results. If​ convenient, use technology to find the probability.

The population mean annual salary for environmental compliance specialists is about

​$60 0,00.

A random sample of

38

specialists is drawn from this population. What is the probability that the mean salary of the sample is less than

​7,500​?

Assume

σ=​$6,000.

 
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