Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran a 10K with and without listening to music. The running times in minutes are shown below. Running Time 45 42 42 52 48 51 36 47 45 Without Music 47 54 43 62 51 52 42 59 51 Assume a Normal distribution. What can be concluded at the the cx = 0.10 level of significance? For this study, we should use t-test for the difference between two dependent population means Houd O a. The null and alternative hypotheses would be: H₁: ud O b. The test statistic With Music c. The p-value = 0.0007 0 0 (please enter a decimal) (Please enter a decimal) -4.786 x (please show your answer to 3 decimal places.) x (Please show your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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p6need help parts B and C 

Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran a
10K with and without listening to music. The running times in minutes are shown below.
Running Time
45 42 42 52 48 51 36 47 45
Without
Music
47 54 43 62 51 52 42 59 51
Assume a Normal distribution. What can be concluded at the the ax = 0.10 level of significance?
For this study, we should use t-test for the difference between two dependent population means
Ho : ud
8
ES
a. The null and alternative hypotheses would be:
H₁: μά
OB
With
Music
b. The test statistic
OB
c. The p-value = 0.0007
0
0
(please enter a decimal)
(Please enter a decimal)
-4.786 x (please show your answer to 3 decimal places.)
X (Please show your answer to 4 decimal places.)
Transcribed Image Text:Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran a 10K with and without listening to music. The running times in minutes are shown below. Running Time 45 42 42 52 48 51 36 47 45 Without Music 47 54 43 62 51 52 42 59 51 Assume a Normal distribution. What can be concluded at the the ax = 0.10 level of significance? For this study, we should use t-test for the difference between two dependent population means Ho : ud 8 ES a. The null and alternative hypotheses would be: H₁: μά OB With Music b. The test statistic OB c. The p-value = 0.0007 0 0 (please enter a decimal) (Please enter a decimal) -4.786 x (please show your answer to 3 decimal places.) X (Please show your answer to 4 decimal places.)
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