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(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. the null hypothesis. There Venough evidence to V the claim that the contestants' times have

(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. the null hypothesis. There Venough evidence to V the claim that the contestants' times have

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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On a television show, eight contestants try to lose the highest percentage of weight in order to win a cash prize. As part of the show, the contestants are timed as they run an obstacle course. The table shows the times (in seconds) of the contestants at the beginning of the season and at the end of the season. At a=0.01, is there enough evidence to support the claim that the contestants' times have changed? Assume the samples are random and dependent, and the population is nomally distributed. Complete parts (a) through (e) below. Contestant Time (beginning) Time (end) 4 6 7 8 o 5 127.8 139.2 116.5 108.4 107.5 142.5 106.9 123.7 127.6 139,4 116.2 107.9 107.4 142.9 106.6 123,5 2 3 (b) Find the critical value(s) and identify the rejection region(s). Select the corect choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) O A. t> B. t<-3.500 or t> 3.500 O C. < (c) Calculate d and sa- d= 0.125 (Round to three decimal places as needed.) Calculate s4 Sg = 0.292 (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t= 1.211 (Round to three decimal places as needed.) (e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V the null hypothesis. There V enough evidence to V the claim that the contestants' times have
Transcribed Image Text:On a television show, eight contestants try to lose the highest percentage of weight in order to win a cash prize. As part of the show, the contestants are timed as they run an obstacle course. The table shows the times (in seconds) of the contestants at the beginning of the season and at the end of the season. At a=0.01, is there enough evidence to support the claim that the contestants' times have changed? Assume the samples are random and dependent, and the population is nomally distributed. Complete parts (a) through (e) below. Contestant Time (beginning) Time (end) 4 6 7 8 o 5 127.8 139.2 116.5 108.4 107.5 142.5 106.9 123.7 127.6 139,4 116.2 107.9 107.4 142.9 106.6 123,5 2 3 (b) Find the critical value(s) and identify the rejection region(s). Select the corect choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) O A. t> B. t<-3.500 or t> 3.500 O C. < (c) Calculate d and sa- d= 0.125 (Round to three decimal places as needed.) Calculate s4 Sg = 0.292 (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t= 1.211 (Round to three decimal places as needed.) (e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V the null hypothesis. There V enough evidence to V the claim that the contestants' times have
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