In order to conduct a hypothesis test of the population mean

In order to conduct a hypothesis test of the population mean, a random sample of 18 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 11.7 and 5.9, respectively. a. Construct the 95% confidence interval for the population mean. b. Use the critical value approach to test if the population mean is less than 15 at a = 0.05. c. Use Excel function =t.dist.rt to find the pvalue for part c and use the pvalue approach to test if the population mean is less than 15 at a = 0.05. d. Use the critical value approach to test if the population mean is different from 15 at a = 0.05. e. Use Excel function =t.dist.2t to find the pvalue for part e and use the pvalue approach to test if the population mean is different from 15 at a = 0.05.

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