Please show your work

The following data are the amounts that a sample of 15 customers spent for lunch (:13) at a fastfood restaurant. Complete parts (a) through (d) below. 7.45 6.26 5.88 6.47 8.27 9.43 7.04 6.80 5.87 Q 4.91 6.52 5.53 7.90 8.34 9.60 3. Construct a 95% confidence interval estimate forthe population mean amount spent for lunch (36) at a fast-food restaurant. DSPSD (Round to two decimal places as needed. Do not include the $ symbol in your answer.) b. Interpret the interval constructed in (a). Choose the correct answer below. 0 A. The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval. 0 B. 95% of the sample data fall between the limits of this condence interval. 0 C. Conclude with 95% condence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval. 0 D. Conclude with 95% condence that the mean amount in dollars spent for lunch at the fast-food restaurantfor the sample is contained in the interval. c. What assumption must you make about the population distribution in order to construct the condence interval estimate in (a)? O A. The population distribution is skewed right. 0 B. The population distribution is uniformly distributed. 0 C. The population distribution is normally distributed. 0 D. The population distribution is skewed left. d. Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain. The assumption is l for n = D since