a.
To find: Whether there is sufficient evidence to conclude that coached students are getting average more score than uncoached students.
a.
Answer to Problem 73E
Yes, there is sufficient evidence to support the claim that coached students are getting more on average than the uncoached students.
Explanation of Solution
Given:
Formula used:
Test statistic formula is:
Calculation:
The null and alternative hypotheses for the provided case are:
The test statistic is computed as:
The degree of freedom is calculated as:
The p-value:
In this case,
The null hypothesis could not be rejected which is not showing the sufficient evidences for the claim at significance level of 5%.
b.
To find: The 95% confidence interval and interpret it.
b.
Answer to Problem 73E
The confidence interval is (1.0002, 15).
Explanation of Solution
The 95% confidence interval using Ti-83 calculator is:
Thus, the confidence interval is (1.0002, 15).
c.
To explain: If the coaching is worth paying.
c.
Answer to Problem 73E
No, it is not worth paying.
Explanation of Solution
The above computed confidence interval is very close to the value 0. Thus, no larger gain is being earned which implies that it is not worth paying for.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
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