Question

A certain paper describes a study of the possible cardiovascular benefits of active video games. Mean...

A certain paper describes a study of the possible cardiovascular benefits of active video games. Mean heart rate for healthy boys ages 10 to 13 after walking on a treadmill at 2.6 km/hour for 6 minutes is known to be 98 beats per minute (bpm). For each of 14 boys in this age group, heart rate was measured after 15 minutes of playing Wii Bowling. The resulting sample mean and standard deviation were 104 bpm and 16 bpm, respectively. Assume that the sample of boys is representative of boys age 10 to 13 and that the distribution of heart rates after 15 minutes of Wii Bowling is approximately normal. Does the sample provide convincing evidence that the mean heart rate after 15 minutes of Wii Bowling is different from the known mean heart rate after 6 minutes walking on the treadmill? Carry out a hypothesis test using

α = 0.01.

(Hint: See Example 12.12.)

State the appropriate null and alternative hypotheses.

H0: μ < 98

Ha: μ > 98

H0: μ = 98

Ha: μ ≠ 98

     

H0: μ > 98

Ha: μ < 98

H0: μ = 98

Ha: μ < 98

H0: μ = 98

Ha: μ > 98

Find the test statistic and P-value. (Use a table or technology. Round your test statistic to one decimal place and your P-value to three decimal places.)

t=  P-value =

State the conclusion in the problem context.

We reject H0. We do not have convincing evidence that the mean heart rate after 15 minutes of Wii Bowling is different from the known mean heart rate after 6 minutes walking on the treadmill.We fail to reject H0. We have convincing evidence that the mean heart rate after 15 minutes of Wii Bowling is different from the known mean heart rate after 6 minutes walking on the treadmill.     We fail to reject H0. We do not have convincing evidence that the mean heart rate after 15 minutes of Wii Bowling is different from the known mean heart rate after 6 minutes walking on the treadmill.We reject H0. We have convincing evidence that the mean heart rate after 15 minutes of Wii Bowling is different from the known mean heart rate after 6 minutes walking on the treadmill.

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