A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? Determine the null and alternative hypotheses. Ho: H1 H2 H3 H₁: At least one of the three population means is different from the others. Find the F test statistic. F= (Round to four decimal places as needed.) Find the P-value using the F test statistic. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. OD. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. Does one of the miles appear to have a hill? A. Yes, these data suggest that the second mile appears to take longer, and a reasonable explanation is that it has a hill. OB. No, these data do not suggest that any of the miles have a hill. OC. Yes, these data suggest that the third and first miles appear to take longer, and a reasonable explanation is that they both have hills. D. Yes, these data suggest that the first mile appears to take longer, and a reasonable explanation is that it has a hill. Time Limit: 02:00:00 Next

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
icon
Related questions
Question
A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop.
Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill?
Determine the null and alternative hypotheses.
Ho: H1 H2 H3
H₁: At least one of the three population means is different from the others.
Find the F test statistic.
F=
(Round to four decimal places as needed.)
Find the P-value using the F test statistic.
P-value = (Round to four decimal places as needed.)
What is the conclusion for this hypothesis test?
O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.
O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.
O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.
OD. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.
Does one of the miles appear to have a hill?
A. Yes, these data suggest that the second mile appears to take longer, and a reasonable explanation is that it has a hill.
OB. No, these data do not suggest that any of the miles have a hill.
OC. Yes, these data suggest that the third and first miles appear to take longer, and a reasonable explanation is that they both have hills.
D. Yes, these data suggest that the first mile appears to take longer, and a reasonable explanation is that it has a hill.
Time Limit: 02:00:00
Next
Transcribed Image Text:A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? Determine the null and alternative hypotheses. Ho: H1 H2 H3 H₁: At least one of the three population means is different from the others. Find the F test statistic. F= (Round to four decimal places as needed.) Find the P-value using the F test statistic. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. OD. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. Does one of the miles appear to have a hill? A. Yes, these data suggest that the second mile appears to take longer, and a reasonable explanation is that it has a hill. OB. No, these data do not suggest that any of the miles have a hill. OC. Yes, these data suggest that the third and first miles appear to take longer, and a reasonable explanation is that they both have hills. D. Yes, these data suggest that the first mile appears to take longer, and a reasonable explanation is that it has a hill. Time Limit: 02:00:00 Next
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL