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# 6. The following data are from matched samples taken from two populations Element Population 1 Population 2 1 11 8 2 7 8 3 9 6 4

6. The following data are from matched samples taken from two populations

Element Population 1 Population 2
1 11 8
2 7 8
3 9 6
4 12 7
5 13 10
6 15 15
7 15 14

a. Provide a 95% confidence interval for the difference between the two population means.
b. Compare the means of population 1 and population 2. Are they equal? Show your test procedure.

the spooled variance is
11
8
7
8
9
6
12
7
13
10
15
15
15
14
11.71428571 9.714286 mean
2.9840847684 3.4982989 std dev
8.904761905 12.2381 var 10.57143
SE is
1.737932
so the CI is
5.786954 -1.786954...

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