Question: Bill and Hillary got married and work in the same building. That is why car pool is their common scenario. They want to compare the commute times on the same days in the morning and in the evening. With this purpose, they record the commute time in the morning and in the evening, evaluate the differences, and summarize their observations as follows. The results obtained after 25 days have been presented below.

1. Estimate the population average for the difference (morning) - (evening). Show all characteristics of the confidence interval below.
   Critical value =
   Standard error =
   Margin of error =
   Mid-point =
   Upper confidence limit =
   Lower confidence limit =
   Width of the interval =
2. At the significance level of \(1 \%\), do they have evidence that the average commute time in the evening is higher than average morning commute time? Show the following elements of your decision.

Critical value(s) =

Test statistic =

Rejection rule: we reject the hypothesis about equal population means if

Decision: there is / is not enough evidence that the population average morning time is shorter than the population average evening tine, at the specified significance level of \(1 \%\).

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