Recall the method used to obtain a confidence interval for the difference between two population means for matched samples.
(a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.)
Element | Population | Difference | |
---|---|---|---|
1 | 2 | ||
1 | 11 | 8 | |
2 | 7 | 8 | |
3 | 9 | 6 | |
4 | 12 | 7 | |
5 | 13 | 10 | |
6 | 15 | 15 | |
7 | 15 | 14 |
(b) Compute d.
(c) Compute the standard deviation sd. (Round your answer to two decimal places.)
(d) What is the point estimate of the difference between the two population means? (Use Population 1 − Population 2.)
(e) Provide a 95% confidence interval for the difference between the two population means. (Use Population 1 − Population 2. Round your answers to two decimal places.)
b)
Compute d =2
c)
standard deviation sd =2.08
d)
e point estimate of the difference between the two population means =2
e)
95% confidence interval for the difference between the two population means =0.07 , 3.93
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