Concept explainers
Find the best estimate for
Obtain the margin of error and confidence interval.
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Explanation of Solution
The best estimate for the difference in the means is
The confidence interval for
Where
Degrees of freedom:
Thus, the degrees of freedom is 29.
t*-value:
Step-by-step procedure to obtain the t*-value using StatKey:
- Choose t under Theoretical Distributions.
- In Edit Parameters, enter the degrees of freedom as 29.
- Click Two-Tail.
- Click on Custom Proportion, enter 0.95 as Proportion.
- Click OK.
Output obtained using StatKey is as follows:
Thus, the t-value for a two-tailed test is
The margin of error is obtained as follows:
Thus, the margin of error is 0.78.
The 95% confidence interval for
Thus, the 95% confidence interval for the difference in the means is (2.92, 4.48).
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Chapter 6 Solutions
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