Concept explainers
Find the best estimate for
Obtain the margin of error and confidence interval.
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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