1. 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 $60,000. A random sample of 35 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $58,000? Assume sigma = $5,500.

The probability that the mean salary of the sample is less than $58,000 is ___________

2. The mean height of women in a country (ages 20 – 29) is 64.4 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume sigma = 2.51.

The probability that the mean height for the sample is greater than 65 inches is _____________.

3.  A manufacturer claims that the life span of its tires is 53,000 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 52,863 miles. Assume sigma = 800 . Complete parts (a) through (c).
(a) Assuming the manufacturer’s claim is correct, what is the probability that the mean of the sample is 52 comma 863
miles or less?

*PARTS B & C WILL BE POSTED IN COMMENT AFTER QUESTION, thank you! 

Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"