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 56.7, 63.1, 49.6, 50.2, 45.4, 47.4, 51.4, and 41.6 D 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. O A. Hoiu > 55 HaiH = 55 ов. Наи 55 Hu> 55 OC. Hoiu< 55 Hau= 55 O D. Hou - 55 Hu< 55 Calculate the test statistic. t-O (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) Choose the correct conclusion below. O A. No, do not market the wax as there is sufficient evidence to conclude the mean time is less than 55 seconds. O B. Yes, market the wax as there is sufficient evidence to conclude the mean time is less than 55 seconds. OC. Yes, market the wax as there is insufficient evidence to conclude the mean time is less than 55 seconds. O D. No, do not market the wax as there is insufficient evidence to conclude the mean time is less than 55 seconds.

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Author:Amos Gilat
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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 56.7, 63.1, 49.6, 50.2, 45.4, 47.4, 51.4, and 41.6 9 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.
O A. HoiH > 55
HAH = 55
O B. Hoiu = 55
HAH > 55
O D. Hoiu = 55
HaH< 55
Ос. Но<55
HaH = 55
Calculate the test statistic.
(Round to three decimal places as needed.)
Calculate the P-value.
P-value =
(Round to four decimal places as needed.)
Choose the correct conclusion below.
O A. No, do not market the wax as there is sufficient evidence to conclude the mean time is less than 55 seconds.
O B. Yes, market the wax as there is sufficient evidence to conclude the mean time is less than 55 seconds.
OC. Yes, market the wax as there is insufficient evidence to conclude the mean time is less than 55 seconds.
O D. No, do not market the wax as there is insufficient evidence to conclude the mean time is less than 55 seconds.
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 56.7, 63.1, 49.6, 50.2, 45.4, 47.4, 51.4, and 41.6 9 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. O A. HoiH > 55 HAH = 55 O B. Hoiu = 55 HAH > 55 O D. Hoiu = 55 HaH< 55 Ос. Но<55 HaH = 55 Calculate the test statistic. (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) Choose the correct conclusion below. O A. No, do not market the wax as there is sufficient evidence to conclude the mean time is less than 55 seconds. O B. Yes, market the wax as there is sufficient evidence to conclude the mean time is less than 55 seconds. OC. Yes, market the wax as there is insufficient evidence to conclude the mean time is less than 55 seconds. O D. No, do not market the wax as there is insufficient evidence to conclude the mean time is less than 55 seconds.
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