It has been claimed that the mean height of adults in the U.S. is more than 167 cm. Does the data of our statistics class support or contradict this claim? Justify your answer through a formal hypothesis testing procedure with a P-value approach using a significance level of your choice. Calculation of and interpretation based on the P-value is required in this problem. After typing out a) and b) below, use scratch paper to identify all variables from the given information using the correct symbols (s, G, J. x-bar, n, p. o, etc.), then go to the templates tab in the Unit 3 Excel Guide (part 1) and determine which template to use, based on the claim in the problem. Copy and paste the entire template (including title) to the right of the problem using the instructions in the blue-shaded area above. Use cell references from the completed template to answer parts c) - g). Next, give the conclusion of your hypothesis test (choose "reject the null hypothesis" or "fail to reject the null hypothesis") based on the p-value and explain why you chose your conclusion. Finally, give an interpretive sentence. Follow examples given in the Unit 3 Excel Guide for correct wording. PROVIDE THE FOLLOWING INFORMATION. FOR EACH STATISTIC: al Hai p. = 31 b] Hy: P. > 31 CJ Sample's Mean (# -bar): d) Sample's S.D. (=): el Sample's Test Statistic: P-value: CONCLUSION OF HYPOTHESIS TEST BASED ON -VALUE AND EXPLAIN WHY: FINAL INTERPRETIVE SENTENCE