K 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 54.9, 63.7, 48.1, 53.9, 49.3, 47.4, 53.7, and 44.9 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. A. Ho:μ = 55 B. Ho:μ>55 HAH<55 HA:H=55 OC. Ho: 55 HAH>55 OD. Ho:μ<55 HA:H=55
K 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 54.9, 63.7, 48.1, 53.9, 49.3, 47.4, 53.7, and 44.9 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. A. Ho:μ = 55 B. Ho:μ>55 HAH<55 HA:H=55 OC. Ho: 55 HAH>55 OD. Ho:μ<55 HA:H=55
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
Related questions
Question
![K
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 54.9, 63.7, 48.1, 53.9, 49.3, 47.4, 53.7, and 44.9
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.
Ο A. Ho:μ = 55
HAH<55
OC. Hou 55
HAH>55
Calculate the test statistic.
...
t=
OB. Ho:μ>55
HA:μ = 55
OD. Ho:μ<55
HAH=55
(Round to three decimal places as needed.)
Calculate the P-value.
P-value=
(Round to four decimal places as needed.)
Choose the correct clusion below.
A. No, do not market the wax as there is insufficient
evidence to conclude the mean time is less than 55
seconds.
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.
D. No, do not market the wax as there is sufficient
evidence to conclude the mean time is less than 55](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b988315-ce9f-41a4-a953-df6b9ff8fc97%2Fd94d7fdd-4631-4343-b1d4-a7aa347b5610%2Fzsopvmf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:K
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 54.9, 63.7, 48.1, 53.9, 49.3, 47.4, 53.7, and 44.9
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.
Ο A. Ho:μ = 55
HAH<55
OC. Hou 55
HAH>55
Calculate the test statistic.
...
t=
OB. Ho:μ>55
HA:μ = 55
OD. Ho:μ<55
HAH=55
(Round to three decimal places as needed.)
Calculate the P-value.
P-value=
(Round to four decimal places as needed.)
Choose the correct clusion below.
A. No, do not market the wax as there is insufficient
evidence to conclude the mean time is less than 55
seconds.
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.
D. No, do not market the wax as there is sufficient
evidence to conclude the mean time is less than 55
![t=
(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.
OA. No, do not market the wax as there is insufficient
evidence to conclude the mean time is less than 55
seconds.
OB. 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 sufficient
evidence to conclude the mean time is less than 55
seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b988315-ce9f-41a4-a953-df6b9ff8fc97%2Fd94d7fdd-4631-4343-b1d4-a7aa347b5610%2Ft2snrtg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:t=
(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.
OA. No, do not market the wax as there is insufficient
evidence to conclude the mean time is less than 55
seconds.
OB. 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 sufficient
evidence to conclude the mean time is less than 55
seconds.
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