Problem #1: A sample of 20 vehicles is outfitted with snow tires. The vehicles travel 85 km/h in winter driving conditions and apply the brakes. The sample mean and standard deviation of stopping distances for these 20 vehicles are calculated to be 160 metres and 40 metres, respectively. We would like to test whether the true mean stopping distance differs from 151 metres. Assuming stopping distances are normally distributed, at the 4% level of significance, we should: (A) Fail to reject Ho since the p-value is 0.32695. (B) Reject Ho since the p-value is 0.32695. (C) Reject Ho since the p-value is 0.15715. (D) Fail to reject Ho since the p-value is 0.15715. (E) Reject Ho since the p-value is 0.31431. (F) Reject Ho since the p-value is 0.16347. (G) Fail to reject Ho since the p-value is 0.16347. (H) Fail to reject Ho since the p-value is 0.31431.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Problem #1: A sample of 20 vehicles is outfitted with snow tires. The vehicles travel 85 km/h in winter driving conditions and
apply the brakes. The sample mean and standard deviation of stopping distances for these 20 vehicles are
calculated to be 160 metres and 40 metres, respectively. We would like to test whether the true mean stopping
distance differs from 151 metres. Assuming stopping distances are normally distributed, at the 4% level of
significance, we should:
(A) Fail to reject Ho since the p-value is 0.32695. (B) Reject Ho since the p-value is 0.32695.
(C) Reject Ho since the p-value is 0.15715. (D) Fail to reject Ho since the p-value is 0.15715.
(E) Reject Ho since the p-value is 0.31431. (F) Reject Ho since the p-value is 0.16347.
(G) Fail to reject Ho since the p-value is 0.16347. (H) Fail to reject Ho since the p-value is 0.31431.
Transcribed Image Text:Problem #1: A sample of 20 vehicles is outfitted with snow tires. The vehicles travel 85 km/h in winter driving conditions and apply the brakes. The sample mean and standard deviation of stopping distances for these 20 vehicles are calculated to be 160 metres and 40 metres, respectively. We would like to test whether the true mean stopping distance differs from 151 metres. Assuming stopping distances are normally distributed, at the 4% level of significance, we should: (A) Fail to reject Ho since the p-value is 0.32695. (B) Reject Ho since the p-value is 0.32695. (C) Reject Ho since the p-value is 0.15715. (D) Fail to reject Ho since the p-value is 0.15715. (E) Reject Ho since the p-value is 0.31431. (F) Reject Ho since the p-value is 0.16347. (G) Fail to reject Ho since the p-value is 0.16347. (H) Fail to reject Ho since the p-value is 0.31431.
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