Construct Confidence Interval for Data Sets Questions
1) Suppose you want to test the claim that μ1 = μ2. Two samples are randomly selected from each
population. If a hypothesis test is performed, how should you interpret a decision that rejects the null
hypothesis?
2) Construct a 90% confidence interval for μ1 μ2. Two samples are randomly selected from normal
populations. The sample statistics are given below. Assume that Ï21 = Ï22.
n1 = 10 n2 = 12
x1 = 25 x2 = 23
s1 = 1.5 s2 = 1.9
3) Construct a 95% confidence interval for μ1 μ2. Two samples are randomly selected from normal
populations. The sample statistics are given below. Assume that Ï21 = Ï22.
n1 = 8 n2 = 7
x1 = 4.1 x2 = 5.5
s1 = 0.76 s2 = 2.51
4) Data sets A and B are dependent. Find d.
A 36 32 53 49 37
B 34 30 31 41 28
5) Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent. Round to
the nearest tenth.
A 30 28 47 43 31
B 28 24 25 35 22
6) Construct a 99% confidence interval for data sets A and B. Data sets A and B are dependent. Round to
the nearest tenth.
A 5.8 6.8 8.7 5.7 5.8
B 8.2 7.1 7.0 6.9 8.3
7) Find the standardized test statistic, z, to test the claim that p1 < p2. The sample statistics listed below
are from independent samples.
Sample statistics: n1 = 550, x1 = 121, and n2 = 690, x2 = 195
8)) Find the weighted estimate, p, to test the claim that p1 < p2. Use α = 0.10. The sample statistics
listed below are from independent samples.
Sample statistics: n1 = 550, x1 = 121, and n2 = 690, x2 = 195
9) In a recent survey of gun control laws, a random sample of 1000 women showed that 65% were in favor
of stricter gun control laws. In a random sample of 1000 men, 60% favored stricter gun control laws.
Construct a 95% confidence interval for p1 p2.
10) A random sample of 100 students at a high school was asked whether they would ask their father or
mother for help with a homework assignment in science. A second sample of 100 different students was
asked the same question for an assignment in history. Forty-three students in the first sample and 47
students in the second sample replied that they turned to their mother rather than their father for help.
Construct a 98% confidence interval for p1 p2
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