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Exercises
1. Given the following sample data from two populations, find a 95% confidence interval for
µ
1
− µ
2
:
Ë
1
= 23.5 Ë
2
= 17.9
s
1
= 5.1 s
2
= 2.4
n
1
= 38 n
2
= 59
2. Given the following paired data, test at a 5% significance level whether or not µ
1
= µ
2
.
x y
13 43
32 92
12 74
14 77
35 71
3. Given the following sample data, test at a 5% significance level whether or not p
1
< p
2
.
ê
1
= 23% ê
2
= 37%
n
1
= 89 n
2
= 143
4. Given the following sample data, test at a 5% significance level whether or not µ
1
> µ
2
.
Ë
1
= 47 Ë
2
= 39
s
1
= 0.2 s
2
= 0.1
n
1
= 66 n
2
= 34
5. Given the following sample data, find a 90% confidence interval for p1−p2.
ê
1
= 74% ê
2
= 65%
n
1
= 200 n
2
= 195
6. Given the following paired data, find a 99% confidence interval for µ1−µ2.
x y
31 34
23 29
21 47
41 77
53 17
67