A study is conducted to determine if bus ridership in a large city is higher dur

Question

A study is conducted to determine if bus ridership in a large city is higher during the afternoon rush hours than morning rush hours. The transit authority randomly selects nine buses and on a given day counts the number of riders at 7: 45 AM and 4: 45 PM. The results are shown below. Conduct an appropriate hypothesis test using 0.1 level of significance. Clearly formulate and describe the hypotheses using non-technical language, show your work including the equation for computing the standard error of estimate, and finally provided a conclusion in a non-technical language.

Explanation / Answer

MTB > Paired 'Morning' 'Afternoon';

SUBC> Confidence 90.

Paired T-Test and CI: Morning, Afternoon

Paired T for Morning - Afternoon

                   N   Mean   StDev   SE Mean

Morning    9    43.67    9.57      3.19

Afternoon 9    46.56   6.91      2.30

Difference 9    -2.89     5.53     1.84

90% CI for mean difference: (-6.32, 0.54)

T-Test of mean difference = 0 (vs not = 0): T-Value = -1.57 P-Value = 0.156

Here P-value is greater than the given level of significnce alpha = 0.1

Hence we failed to reject the null hypothesis

Conclusion there is not significanrt difference between Morning and Afternoon ridership in the city.

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