A company is developing a new high performance wax for cross country ski racing. In order to justify the price marketing wants, the wax needs to be very fast. Specifically, the mean time to finish their standard est course should be less than 55 seconds for a former Olympic champion. To test it, the champion will ski the course 8 times. The champion's times (selected at random) are 50.6, 65.2, 46.9, 53.8, 47.4, 46.6, 54.9, and 41.6 seconds to complete the test course. Should they market the wax? Assume the assumptions and conditions for appropriate hypothesis testing are met for the sample. Use 0.05 as the P-value cutoff level. Choose the correct null and alternative hypotheses below. OA. Hoμ>55 HAH=55 OC. Ho:μ<55 HAH=55 Calculate the test statistic. Round to three decimal places as needed) OB. Hop=55 HAH> 55 D. Hop=55 HAH<55

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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Choose the correct conclusion below

A. Yes, market the wax as there is sufficient evidence to conclude the mean tine is less man 55 seconds.

B. No do not market the wax as there is sufficient evidence to conclude the mean time is less than 55 seconds.

 C. Yes, market the wax as there is insufficient evidence to conclude the mean time is less than 56 seconds.

D. No do not market the wax as there is insullicient evidence to conclude the mean time is less than 55 seconds

Find the P-value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. P-value = 0.0234 (Round to three decimal places as needed.)
B. The assumptions and conditions are not met, so the test cannot proceed.
Transcribed Image Text:Find the P-value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. P-value = 0.0234 (Round to three decimal places as needed.) B. The assumptions and conditions are not met, so the test cannot proceed.
A company is developing a new high performance wax for cross country ski racing. In order to justify the price marketing wants, the wax needs to be very fast. Specifically, the mean time to finish their standard
test course should be less than 55 seconds for a former Olympic champion. To test it, the champion will ski the course 8 times. The champion's times (selected at random) are 50.6, 65.2, 46.9, 53.8, 47.4, 46.6,
54.9, and 41.6 seconds to complete the test course. Should they market the wax? Assume the assumptions and conditions for appropriate hypothesis testing are met for the sample. Use 0.05 as
the P-value cutoff level.
Choose the correct null and alternative hypotheses below.
OA. Hoμ> 55
HA:μ = 55
OC. Ho:μ< 55
HA:μ = 55
Calculate the test statistic.
(Round to three decimal places as needed.)
O B. Ho:μ=55
HAH> 55
D. Ho:μ=55
HA-μ< 55
Transcribed Image Text:A company is developing a new high performance wax for cross country ski racing. In order to justify the price marketing wants, the wax needs to be very fast. Specifically, the mean time to finish their standard test course should be less than 55 seconds for a former Olympic champion. To test it, the champion will ski the course 8 times. The champion's times (selected at random) are 50.6, 65.2, 46.9, 53.8, 47.4, 46.6, 54.9, and 41.6 seconds to complete the test course. Should they market the wax? Assume the assumptions and conditions for appropriate hypothesis testing are met for the sample. Use 0.05 as the P-value cutoff level. Choose the correct null and alternative hypotheses below. OA. Hoμ> 55 HA:μ = 55 OC. Ho:μ< 55 HA:μ = 55 Calculate the test statistic. (Round to three decimal places as needed.) O B. Ho:μ=55 HAH> 55 D. Ho:μ=55 HA-μ< 55
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