4. Given n > 30 and o is known. What is the appropriate distribution? C.p D. r B. t

Using the appropriate table in textbook (Keller, Appendix B) or Excel, a. find z.05. Draw the distribution and locate the z-value (z.os) in the distribution. b. find-z.05. Draw the distribution and locate the z-value (-z.05) in the distribution. c. find t50,.01. Draw the distribution and locate the t-value (t50,.01) in the distribution. d. find-t50,.01. Draw the distribution and locate the t-value (-t50,.01) in the distribution. e. find X²0,.05. Draw the distribution and locate the x²-value (x²0,05) in the distribution. f. find F2,20,.05. Draw the distribution and locate the F-value (F2,20,.05) in the distribution.

need help with B, C, D

The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance?  For this study, we should use Select an answer t-test for a population mean z-test for a population proportion        H0:H0:  ? μ p  Select an answer = ≠ > <         H1:H1:  ? p μ  Select an answer = > < ≠     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.)