Question

Does 10K running time increase when the runner listens to music? Ten runners were timed as they ran a 10K with and without listening to music. The the running times in minutes are shown below.

Without Music	52.4	43.9	52.6	44.2	53.3	51.4	44.2	41.1	47.9	46.2
With Music	55.7	41.3	52.8	47.5	53.9	54.1	49.6	37.8	51.5	49.6

Assume the distribution of the differences is normal. What can be concluded at the 0.01 level of significance? (d = Time Without music - Time With music)

a. H₀: μ_d = 0 H_a: μ_d 0

b. Test statistic (t or z):   =  Round to 2 decimal places,

c. p-Value =   Round your answer to 4 decimal places.

d. p-Value Interpretation: If the null hypothesis is  , then there is a  probability that the average of the sample differences is   (less than / more than)   (value to 2 decimal places) minutes.

e. Decision:   (Reject H₀ or do not Reject H₀)

f. Conclusion: There is  (sufficient / insufficient) evidence to make the conclusion that the population mean running time for a 10K   (increases / decreases) when the runners listen to music.

Answer 1