************* *********** ******************** A certain paper describes a study of the possible cardiovascular benefits of active video games. The mean heart rate for healthy boys ages 10 to 13 after walking on a treadmill at 2.6 km/hour for 6 minutes is measured. 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 101 bpm and 15 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. *************** The paper also states that the known mean resting heart rate for boys in this age group is 66 bpm. (a) Is there convincing evidence that the mean heart rate after Wii Bowling for 15 minutes is higher than the known mean resting heart rate for boys of this age? Use α = 0.01. State the appropriate null and alternative hypotheses. ⒸH₁: μ = 66 H₂:μ # 66 O Ho: M> 66 H₂: μ< 66 OH: μ = 66 H: > 66 OH₁: μ = 66 Ha: p < 66 Ο Η: μ < 66 H:μ> 66 X Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value =

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************
A certain paper describes a study of the possible cardiovascular benefits of active video games. The mean heart rate for healthy boys ages 10 to 13 after walking
on a treadmill at 2.6 km/hour for 6 minutes is measured. 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 101 bpm and 15 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.
The paper also states that the known mean resting heart rate for boys in this age group is 66 bpm.
(a) Is there convincing evidence that the mean heart rate after Wii Bowling for 15 minutes is higher than the known mean resting heart rate for boys of this
age? Use α = 0.01.
State the appropriate null and alternative hypotheses.
● Ho: μ = 66
H₂:μ # 66
Ho: μ> 66
Hg: μ < 66
Ho: μ = 66
H₂:μ> 66
Ho: μ = 66
H₂ μ< 66
Ο Η: μ < 66
H₂:μ> 66
Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
P-value =
Transcribed Image Text:************ A certain paper describes a study of the possible cardiovascular benefits of active video games. The mean heart rate for healthy boys ages 10 to 13 after walking on a treadmill at 2.6 km/hour for 6 minutes is measured. 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 101 bpm and 15 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. The paper also states that the known mean resting heart rate for boys in this age group is 66 bpm. (a) Is there convincing evidence that the mean heart rate after Wii Bowling for 15 minutes is higher than the known mean resting heart rate for boys of this age? Use α = 0.01. State the appropriate null and alternative hypotheses. ● Ho: μ = 66 H₂:μ # 66 Ho: μ> 66 Hg: μ < 66 Ho: μ = 66 H₂:μ> 66 Ho: μ = 66 H₂ μ< 66 Ο Η: μ < 66 H₂:μ> 66 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value =
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