The advertise of American men is normally distributed with mainz 70" in standard deviation 4" 1)what is the probability that a randomly selected American adult men will be less than 75" tall? 2)NBA player Kobe Bryant is 6' 6" tall what portion of American men are at least as tall is Kobe Bryant? 3)find the 95th percentile of American adult men's hights. 4) the Toyota prius has a means fuel economy rating of 49.34 mpg with a population standard deviation of 0.46 mpg. 5) What is the probability that I randomly selected prius gets more than 49.5 MPG? 6) A random sample of 15 priuses is taken and the miles per gallon for each car is recorded what is the probability that the means mpg for this sample is more than 4 9.5 mpg? 7) A mechanic who services priuses notices that the mean fuel economy of the 23 preiue has services is 49.1 MPG. should he be worried (in other words is the sample unusual what is the probability of randomly getting a sample like this or worse) 8) A Union wants to get an idea of how many hours per month the average employee is absent from work 325 employees are randomly selected and the number of each hours misses work Is recorded if the sample has a mean of 8.1 hours in a standard deviation of 5.8 hours. 9) Give a 95th percent confidence interval for the mean number of hours per month employees absent. 10) Give a 99% confidence interval for the means number of hours per month employees absent how does this interval differ from the one above? why does this happen? 11) Suppose we knew what the population standard deviation for the number of miss hours per month is actually 5.4 give a 95th percent confidence interval for the means number of hours per month employees absent given this new piece of information

1. What's the probability that a randomly selected adult American man will be less than 75 inches tall? 2. NBA player Kobe Bryant is 6'6" tall. What proportion of adult American men are at least as tall as Kobe? 3. Find the 95 percentile of adult American male heights. 4. The Toyota Prius has a mean fuel economy rating of 49.34 mpg with a population standard deviation of 0.46 mpg. i. What is the probability that a randomly selected Prius gets more than 49.5 mpe? ii. A random sample of 15 Priuses is taken and the miles per gallon for each car are recorded. What is the probability that the mean mpg for this sample is more than 49.5 mpe? ili. A mechanic who services Priuses notices that the mean fuel economy of the 23 Priuses he services is 49.1 mpg. Should he be worried? (In other words, is this sample unusual? What is the probability of randomly getting a sample like this or worse?) 2. A union wants to get an idea of how many hours per month the average employee is absent from work. 325 employees are randomly selected, and the number of hours cach employee misses work is recorded. If the sample has a mean of 8.1 hours and a standard deviation of 5.8 hours, i. Give a 95% confidence interval for the mean number of hours per month an employee is absent. ii. Give a 99% confidence interval for the mean number of hours per month an employee is absent. How does this intervel differ from the one above? Why does this happen? ili. Suppose we know that the population standard deviation for the number of missed hours per month is actually 5.4. Give a 95% confidence interval for the mean number of hours per monthap employee is absent, given this new piece ul information