Use a t-distribution to find a confidence interval for the difference in means μd=μ1-μ2 using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d=x1-x2.
A 95% confidence interval for μd using the paired data in the following table:
Case |
Situation 1 |
Situation 2 |
1 |
77 |
87 |
2 |
81 |
86 |
3 |
95 |
91 |
4 |
61 |
79 |
5 |
71 |
77 |
6 |
72 |
62 |
7 |
85 |
87 |
8 |
90 |
91 |
Give the best estimate for μd, the margin of error, and the confidence interval.
Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places.
best estimate
margin of error =
The 95% confidence interval is to
Number | Before | After | Difference | |
77 | 87 | -10 | 42.25 | |
81 | 86 | -5 | 2.25 | |
95 | 91 | 4 | 56.25 | |
61 | 79 | -18 | 210.25 | |
71 | 77 | -6 | 6.25 | |
72 | 62 | 10 | 182.25 | |
85 | 87 | -2 | 2.25 | |
90 | 91 | -1 | 6.25 | |
Total | 632 | 660 | -28 | 508 |
Confidence Interval :-
Lower Limit =
Lower Limit = -10.6221
Upper Limit =
Upper Limit = 3.6221
95% Confidence interval is ( -10.62 , 3.62 )
Best estimate
Margin of Error =
Standard Error =
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