This question is similar to Exercise 14 on page 363 of the textbook. A random sample of 15 observations is used to estimate the population mean. The sample mean the standard deviation are calculated as 172 and 38, respectively. Assume that the population is normally distributed. a. With 90 confidence, what is the margin of error for the estimation of the population mea b. Construct the 90% confidence interval for the population mean. C. Construct the 95% confidence interval for the population mean. d. Construct the 83% confidence interval for the population mean. Hint: you need to use Ex function=t.inv.2t to find the value of t for the interval calculation.

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