PLEASE HELP ME WITH THESE HOMEWORK QUESTIONS THEY ARE TAKING

PLEASE HELP ME WITH THESE HOMEWORK QUESTIONS THEY ARE TAKING ME HOURS TO FIGURE OUT.

1. Suppose that a sample of size 72 is drawn from a population with mean 25 and standard deviation 76. Find the value of the mean of the distribution of sample means. (only a number as answer)

2. Suppose that a sample of size 62 is drawn from a population with mean 89 and standard deviation 49. find the value of the standard deviation of the distribution of sample means. round answer two decimal places

3. 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 11.04 pounds? round 4 decimal places

4. The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2,639. Assume the standard deviation is $500. A real esate firm samples 100 apartments.WHat is the probability that the average rent of the sample is more than $2,693. Round 4 decimal places

5. A survey among freshman 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 28.4 and 30 hours studying? round four decimal places

6. Electricity bills in a certain city have mean $95.49. Assume the bills are normally distributed with standard deviation $13.34. A sample of 50 bills was selected for an audit. Find the 59 percentile for the sample mean. Round two decimal places

7. According to one survey, the mean serum cholesterol level for U.S. adults was 200.9, with a standard deviation of 46.1. A simple random sample of 114 adults is chosen. Find the 63 percentile for the sample mean. round one decimal place

Solution

1.

By central limit theorem, the mean of the sample means is the population mean, so

u(X) = u = 25 [ANSWER]

*******************

2.

By central limit theorem, the standard deviation of the means is given by

sigma(X) = sigma/sqrt(n)

= 49/sqrt(62)

= 6.223006223 [ANSWER]

*******************************************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!