3. The data set Advertising $ (on Canvas under data files) contains the annual advertising expenditures (in millions) for a sample of companies in the automotive sector and in the department store sector. Use this data set and Minitab to answer the following questions (assume the population is normally distributed):
a. Describe the target population(s).
b. Briefly describe a possible sampling frame.
c. What are the sample mean, standard deviation, median, minimum, and maximum for each sector? Use Minitab and paste only these descriptive statistics.
d. Find the best point estimate of the population mean advertising spend for each sector.
e. Find the best estimate of the population mean advertising spend for each sector. (Be 95% confident of the answer you give.) Use Minitab and paste your output below.
f. Interpret your estimations in part e.
g. Does the assumption of normality for the population appear to be justified in this case? Why or why not? Paste the graph used to answer this question.
h. For your solution to part (f), do you have to assume that the each population is normally distributed in order to have confidence in the confidence intervals? Why or why not?
i. Is there sampling error present? If so, why?
j. Explain why the margins of error are different for the automotive sector compared to the department store sector in this data set.
k. How can the margin of error be reduced?
4. Analyze Case 4 in Chapter 3 β Heavenly Chocolates Website Transactions. Use the data set Heavenly Chocolates on Canvas under the data file module (not the textbook file) to answer the specific questions below. Assume the data is a random sample. Paste relevant Minitab output as needed.
a. Conduct appropriate data description methods to summarize each variable in the data set. Paste the output below.
b. Develop 95% confidence intervals for the mean time spent on the website, the mean $ amount spent on Friday, and the mean $ amount spent on Sunday. Explain each confidence interval.
c. Identify at least three key insights from the data set and why each finding would be an important insight for management. Include the output to support each finding.