AP STATISTICS HOMEWORK PLEASE HELP!

A program was created to randomly choose customers at a shoestoreto receive a discount. The program claims 15% of the receipts will get a discount in the long run. The manager of the shoestoreis skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 12% received the discount. The confidence interval is 0.12 0.05 with all conditions for inference met.

Part A:Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)

Part B:Is it statistically evident from the confidence interval that the program creates the discount with a 0.15 probability? Explain. (2 points)

Part C:Another random sample of receipts is taken. This sample is six times the size of the original. Twelve percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)

Part D:Using the margin of error from the second sample in part C, is the program working as planned? Explain. (3 points)

The amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let x be the mean amount paid.

Part A:What are the mean and standard deviation of the sample distribution of x? Show your work and justify your reasoning. (4 points)

Part B:What is the shape of the sampling distribution of x? Justify your answer. (2 points)

Part C:What is the probability that the average electric service paid by the sample of electric service customers will exceed $170? Show your work. (4 points)