Campbell University Statistics Problems
Question Description
1. Suppose you want to test the claim that ? 1 > ? 2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that 
? 
. At a level of significance of 
, when should you reject H 0?
n 1 = 18 n 2 = 13
1 = 635 
2 = 620
s 1 = 40 s 2 = 25
2. Suppose you want to test the claim that ? 1 ? ? 2. Assume the two samples are random and independent. At a level of significance of ? = 0.02, when should you reject H 0?
Population statistics: ? 1 = 0.76 and ? 2 = 0.51
Sample statistics: 
1 = 1.9, n 1 = 51 and 
2 = 2.3, n 2 = 38
3. Find the critical values, t 0, to test the claim that ? 1 = ? 2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that 
. 
n 1 = 25 n 2 = 30
1 = 25 
2 = 23
s 1 = 1.5 s 2 = 1.9
4.Find the weighted estimate, 
to test the claim that p 1 > p 2. Use ? = 0.01. Assume the samples are random and independent.
Sample statistics: n 1 = 100, x 1 = 38, and n 2 = 140, x 2 = 50
5.Find the critical value, t 0, to test the claim that ? 1 < ? 2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that 
. 
n 1 = 15 n 2 = 15
1 = 22.97 
2 = 25.52
s 1 = 2.9 s 2 = 2.8
6. Find the weighted estimate, 
to test the claim that p 1 = p 2. Use ? = 0.05. Assume the samples are random and independent.
Sample statistics: n 1 = 50, x 1 = 35, and n 2 = 60, x 2 = 40
7.Suppose you want to test the claim that ? 1 ? ? 2. Assume the two samples are random and independent. At a level of significance of ? = 0.05, when should you reject H 0?
Population statistics: ? 1 = 1.5 and ? 2 = 1.9
Sample statistics: 
1 = 30, n 1 = 50 and 
2 = 28, n 2 = 60
8.Construct a 95% confidence interval for ? 1 – ? 2. Assume the two samples are random and independent. The sample statistics are given below.
Population statistics: ? 1 = 1.5 and ? 2 = 1.9
Sample statistics: 
1 = 25, n 1 = 50 and 
2 = 23, n 2 = 60
9.Find the standardized test statistic, z, to test the claim that p 1 ? p 2. Assume the samples are random and independent.
Sample statistics: n 1 = 1000, x 1 = 250, and n 2 = 1200, x 2 = 195
10.Find the standardized test statistic to test the claim that ? 1 = ? 2. Assume the two samples are random and independent.
Population statistics: ? 1 = 1.5 and ? 2 = 1.9
Sample statistics: 
1 = 29, n 1 = 50 and 
2 = 27, n 2 = 60
11.
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