To test Upper H 0: mu equals 34 versus Upper H 1: mu not equals 34, a simple random sample of size nequals35 is obtained. Complete parts (a) through (f) below. LOADING... Click the icon to view the table of critical t-values. Question content area bottom Part 1 (a) Does the population have to be normally distributed to test this hypothesis by using t-distribution methods? Why? A. Nolong dashsince the sample size is at least 30, the underlying population does not need to be normally distributed. B. Nolong dashthere are no constraints in order to perform a hypothesis test. C. Yeslong dashsince the sample size is at not least 50, the underlying population does not need to be normally distributed. D. Yeslong dashthe population must be normally distributed in all cases in order to perform a hypothesis test. Part 2 (b) If x overbarequals38.1 and sequals9.0, compute the test statistic. t 0equals enter your response here (Round to two decimal places as needed.) Part 3 (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. A. -3 0 3 A bell-shaped curve is plotted above a horizontal axis labeled from negative 3 to 3 in increments of 1. The curve is symmetric about 0. Two vertical lines extend from the horizontal axis at approximate horizontal coordinates negative 2.7 and 2.7. The areas to the left of the left vertical line and to the right of the right vertical line are shaded. B. -3 0 3 A bell-shaped curve