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Concept explainers
a.
To explain: Whether the two-sample procedure could be used here or not.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 45E
Yes.
Explanation of Solution
Given:
Formula used:
The formula to compute the confidence interval is:
It is not possible for the earing to take the negative values and the value of the standard deviation is equal to the
b.
To find: The 90% confidence interval for the difference between the mean earnings of female and male at the university and interpret it.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 45E
The confidence interval is (413.62, 634.64).
Explanation of Solution
Calculation:
The 90% confidence interval for the difference between the mean earnings of female and male at the university using Ti-83 calculator can be calculated as:
Thus, the confidence interval is (413.62, 634.64).
Interpretation:
There is 90% probability that the mean difference between the earning is between $413.62 and $634.64.
c.
To interpret: The confidence interval computed in above part.
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
The confidence interval shows that on an average 90% of the samples have confidence interval that are containing the mean difference of the earning of the men and women.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
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