Question: Bill and Hillary got married and moved into a new house. Bill and Hillary want to analyze the difference between their population means. They took samples for 10 consecutive days. The sample based summaries are shown in the table below. Assume that individual commute time (in minutes) is normally distributed. Bill believes that the both populations share the same unknown common variance, and Hillary objected saying chat she would prefer to assume entirely unknown variances. Table below presents the sample summaries derived from two independently collected samples. Now the confidence intervals are supposed to be derived for the difference between the two population means.

1. Enter results from previous problem here.
   (degrees of freedom by Bill) = ??
   (degrees of freedom by Hillary) = ??
2. Enter results from previous problem here.
   (se for Bill) = ??
   (se for Hillary) = ??
3. To estimate the difference between the two population means at the \(99 \%\) confidence, what critical value will bill use?
   (critical value for bill) = ??
4. To estimate the difference between the two population means at the \(99 \%\) confidence, what critical value will Hillary use?
   (critical value for Hillary) =
5. Present the confidence intervals and indicate the mid-point and margin of error in each case.

Confidence interval for Bill: (mid-point) \(\pm\) (margin of error)

Confidence Interval For Hillary (mid-point) \(\pm\) (margin of error)

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document