The paper “Playing Active Video Games Increases Energy Expenditure in Children” (Pediatrics [2009]: 534–539) describes an interesting investigation of the possible cardiovascular benefits of active video games. Mean heart rate for healthy boys age 10 to 13 after walking on a treadmill at 2.6 km/hour for 6 minutes is 98 beats per minute (bpm). For each of 14 boys, 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. For purposes of this exercise, assume that it is reasonable to regard the sample of boys as 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 a significance level of 0.01. Be sure to provide the following: Define the parameter of interest = the mean heart rate for healthy boys ages 10-13 after walking on a treadmill at 2.6km/hr for 6 minutes. State the null and alternative hypotheses : = 98 : 98 State the significance level. State what type of test you will perform, why you chose to use that test, and provide a check for any necessary assumptions. We have a random sample and sufficient sample size. I choose the t test. State your test statistic and its null distribution. = under the null hypothesis Compute the test statistic BY HAND. Make a decision to reject or fail to reject based on either a p-value or by comparing the test statistic to a critical value (you can choose whichever you prefer). T = Xbar -98/(s/) = 101-98/(15/) = 3/4.0089 = 0.748 The value of the test statistic t=0.748 Decision rule: We reject if the State your conclusion in the context of the problem.8 The data provides no sufficient evidence to conclude 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 using the level of significance The known resting mean heart rate for boys in this age group is 66 bpm. 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 a significance level of 0.01. Be sure to provide the following: Define the parameter of interest. State the null and alternative hypotheses. State the significance level. State what type of test you will perform, why you chose to use that test, and provide a check for any necessary assumptions State your test statistic and its null distribution. Compute the test statistic BY HAND. Make a decision to reject or fail to reject based on either a p-value or by comparing the test statistic to a critical value (you can choose whichever you prefer) State your conclusion in the context of the problem.

The paper “Playing Active Video Games Increases Energy Expenditure in Children” (Pediatrics [2009]: 534–539) describes an interesting investigation of the possible cardiovascular benefits of active video games. Mean heart rate for healthy boys age 10 to 13 after walking on a treadmill at 2.6 km/hour for 6 minutes is 98 beats per minute (bpm). For each of 14 boys, 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. For purposes of this exercise, assume that it is reasonable to regard the sample of boys as 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 a significance level of 0.01. Be sure to provide the following: Define the parameter of interest = the mean heart rate for healthy boys ages 10-13 after walking on a treadmill at 2.6km/hr for 6 minutes. State the null and alternative hypotheses : = 98 : 98 State the significance level. State what type of test you will perform, why you chose to use that test, and provide a check for any necessary assumptions. We have a random sample and sufficient sample size. I choose the t test. State your test statistic and its null distribution. = under the null hypothesis Compute the test statistic BY HAND. Make a decision to reject or fail to reject based on either a p-value or by comparing the test statistic to a critical value (you can choose whichever you prefer). T = Xbar -98/(s/) = 101-98/(15/) = 3/4.0089 = 0.748 The value of the test statistic t=0.748 Decision rule: We reject if the State your conclusion in the context of the problem.8 The data provides no sufficient evidence to conclude 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 using the level of significance The known resting mean heart rate for boys in this age group is 66 bpm. 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 a significance level of 0.01. Be sure to provide the following: Define the parameter of interest. State the null and alternative hypotheses. State the significance level. State what type of test you will perform, why you chose to use that test, and provide a check for any necessary assumptions State your test statistic and its null distribution. Compute the test statistic BY HAND. Make a decision to reject or fail to reject based on either a p-value or by comparing the test statistic to a critical value (you can choose whichever you prefer) State your conclusion in the context of the problem.

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Description: The paper “Playing Active Video Games Increases Energy Expenditure in Children” (Pediatrics [2009]: 534–539) describes an interesting investigation of the possible cardiovascular benefits of active video games. Mean heart rate for healthy boys age 10

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The paper “Playing Active Video Games Increases Energy Expenditure in Children” (Pediatrics [2009]: 534–539) describes an interesting investigation of the possible cardiovascular benefits of active video games. Mean heart rate for healthy boys age 10 to 13 after walking on a treadmill at 2.6 km/hour for 6 minutes is 98 beats per minute (bpm). For each of 14 boys, 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. For purposes of this exercise, assume that it is reasonable to regard the sample of boys as 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 a significance level of 0.01.

Be sure to provide the following:

Define the parameter of interest

= the mean heart rate for healthy boys ages 10-13 after walking on a treadmill at 2.6km/hr for 6 minutes.

State the null and alternative hypotheses

: = 98

: 98

State the significance level.

State what type of test you will perform, why you chose to use that test, and provide a check for any necessary assumptions.

We have a random sample and sufficient sample size. I choose the t test.

State your test statistic and its null distribution.

= under the null hypothesis

Compute the test statistic BY HAND. Make a decision to reject or fail to reject based on either a p-value or by comparing the test statistic to a critical value (you can choose whichever you prefer).

T = Xbar -98/(s/) = 101-98/(15/)

= 3/4.0089 = 0.748

The value of the test statistic t=0.748

Decision rule: We reject if the

State your conclusion in the context of the problem.8

The data provides no sufficient evidence to conclude 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 using the level of significance

The known resting mean heart rate for boys in this age group is 66 bpm. 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 a significance level of 0.01.

Be sure to provide the following:

Define the parameter of interest.

State the null and alternative hypotheses.

State the significance level.
State what type of test you will perform, why you chose to use that test, and provide a check for any necessary assumptions
State your test statistic and its null distribution.
Compute the test statistic BY HAND. Make a decision to reject or fail to reject based on either a p-value or by comparing the test statistic to a critical value (you can choose whichever you prefer)

State your conclusion in the context of the problem.

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