Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is 4.5 and has not changed. Ten randomly chosen teenagers were asked how many hours per week they spend on the phone. The level of significance is 0.05. The sample of teenagers’ time is: 3.0, 4.25, 5.5, 3.5, 7.0, 6.3, 2.0, 4.5, 3.7, 3.6

MATLAB: An Introduction with Applications
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SCENARIO 4

Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is 4.5 and has not changed. Ten randomly chosen teenagers were asked how many hours per week they spend on the phone. The level of significance is 0.05. The sample of teenagers’ time is: 3.0, 4.25, 5.5, 3.5, 7.0, 6.3, 2.0, 4.5, 3.7, 3.6

Question 24 

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What test are you running?

Question 24 options:

 

One mean t-test

 

Chi-Square Goodness of Fit

 

ANOVA

 

One mean z-test

Question 25 

 

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What is the null hypothesis?  

 

 

 

 

 

Question 26 

 

 

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What is the alternative hypothesis? 

 

   
   

Question 27 

 

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What is the test statistic? Use two decimals place in your answer.

 

Question 27 options:

 

Question 28 

 

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 What is the p-value? Use three decimals place in your answer.

 

Question 28 options:

 

Question 29 

 

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What is the conclusion when you compare the p-value and the level of significance (alpha)? 

Question 29 options:

 

Reject the null hypothesis

 

Fail to reject the null hypothesis

Question 30 

 

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What is the conclusion based on the original claim?

Question 30 options:

 

At the 5% level of significance, the mean time teenagers spend on the phone each week is 4.5 hours. 

 

At the 5% level of significance, the mean time teenagers spend on the phone each week is not 4.5 hours. 

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