II. A random survey of 75 employees in a big corporation revealed that the mean length of service time is 17.4 years with a standard deviation of 6.3 years. Conduct a hypothesis test to determine if the population mean service time could likely be 15 years. a. In words, define the random variable for this test. [.5pt] b. State the null and alternative hypotheses. [.5pt] HO: Ha : c. Assume that population standard deviation is equal to the sample standard deviation [Explain if this is a valid assumption] [.5pt] d. Which test should be used? [.5pt] e. Find the p-value. [4pts] f. What does this p-value represent [.5pt] g. If the number of employees surveyed had been 7 (instead of 75) Which test should be used? [.5pt] h. Find the p-value if the number of employees surveyed had been 7 (instead of 75). [6pts] i. Explain why this p-value is different from the prev. case [1pt]