The average height of an adult male is 64.8" with a standard deviation of 1.58". Calculate an interval that is symmetric around the mean such that it contains approximately 95% of heights. Assume that height has a normal distribution. 1) (63.22, 66.38) 2) (66.38, 63.22) 3) (64.8, 1.58) 4) (67.96, 61.64) 5) (61.64, 67.96)

The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of ¯x?

To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)