question(14): A researcher wanted to know whether children who live in two different neighbourhoods( Foresthill and Willowdale ) got different amount of excercise.Children were choosen(40 from each). and filled the daily excerise report. The number of minutes were tallied and recorded. The researcher the conducted an independent sample t test using MS-EXCELL .The result are given below. Inspect the output .Did the researcher conduct their t test assuming equal variance or not ?

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Author:Amos Gilat
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question(14):

A researcher wanted to know whether children who live in two different neighbourhoods( Foresthill

and Willowdale ) got different amount of excercise.Children were choosen(40 from each). and filled

the daily excerise report. The number of minutes were tallied and recorded. The researcher

the conducted an independent sample t test using MS-EXCELL .The result are given below. Inspect

the output .Did the researcher conduct their t test assuming equal variance or not ?

Write out step 5 by including both the formal answer and the conclusion.

THe five steps are

Step1 : state the hypothesis and identify the claim.

step2 : compute the test value.

step 3: compute the critical value

step4: make the decision(reject or not reject)

step5 :summarize the result.

NOTE: you only need to submit step 5.

Asume (alpha=.05)

round answer to two decimal places.

MS-EXCELL OUTPUT

                                                            Willowdale                                   Forresthill

mean                                                     108.65                                       86.93

variance                                                2601.67                                     1238.99

observations                                            40                                             40

pooled variance                                     1920.33

hypothesized

mean difference                                          0

df                                                              78

t statistic                                                   2.22

P(T<=t) (one tail )                                       .01

t critical value(one tail)                             1.66

P(T<=t) (two tail)                                      0.03

t critical(two tail)                                       1.99                                              

 

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