please help me in solving my homework exercice as soon as possible thankx !

. Ahmad and Alia, the owners of an upscale restaurant in Tunis, want to study the dining characteristics of their customers. They decide to focus on two variables: the amount of money spent by customers and whether customers order dessert. The results from a sample of 36 customers are as follows: Amount spent: X = TND 38.54, S = TND 7.26, and 18 customers purchased dessert.

a. Construct a 90% confidence interval estimate for the population mean amount spent per customer in the restaurant.

b. Construct a 95% confidence interval estimate for the population proportion of customers who purchase dessert.

Fatma, the owner of a competing restaurant, wants to conduct a similar survey in her restaurant. She does not have access to the information that Ali and Alia have obtained from the survey they conducted. Answer the following questions:

c. What sample size is needed to have 99% confidence of estimating the population mean amount spent in her restaurant to within TND 1.5, assuming that the standard deviation is estimated to be TND 8?

d. How many customers need to be selected to have 90% confidence of estimating the population proportion of customers who purchase dessert to within 0.04.

e. Based on your answers to (c) and (d), how large a sample should Fatma take?