Reference no: EM132848774

-Suppose that a sample of size 79 is drawn from a population with mean 89 and standard deviation 83 . Find the value of , the mean of the distribution of sample means.

-Suppose that a sample of size 58 is drawn from a population with mean 44 and standard deviation 78 . Find the value of , the standard deviation of the distribution of sample means.

-Suppose that the weight of male babies less than 2 months old is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 babies is selected. What is the probability that the average weight of the sample is less than 11.44 pounds?
-The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $ 2,648 . Assume the standard deviation is $500. A real estate firm samples 100 apartments. What is the probability that the average rent of the sample is more than $ 2,677 ?

-A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15. A sample of 36 students was selected. What is the probability that the average time spent studying for the sample was between 28.5 and 30 hours studying?

-Electricity bills in a certain city have mean $ 104.15 . Assume the bills are normally distributed with standard deviation $ 12.67 . A sample of 56 bills was selected for an audit. Find the 42 percentile for the sample mean.