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Campbell University Statistics Problems

Question Description

I need help with a Statistics question. All explanations and answers will be used to help me learn.

1. Suppose you want to test the claim that μ 1 > μ 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 μ 1 ≠ μ 2. Assume the two samples are random and independent. At a level of significance of α = 0.02, when should you reject H 0?
Population statistics: σ 1 = 0.76 and σ 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 μ 1 = μ 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 α = 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 μ 1 < μ 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 α = 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 μ 1 ≠ μ 2. Assume the two samples are random and independent. At a level of significance of α = 0.05, when should you reject H 0?
Population statistics: σ 1 = 1.5 and σ 2 = 1.9
Sample statistics: 1 = 30, n 1 = 50 and 2 = 28, n 2 = 60

8.Construct a 95% confidence interval for μ 1 – μ 2. Assume the two samples are random and independent. The sample statistics are given below.

Population statistics: σ 1 = 1.5 and σ 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 μ 1 = μ 2. Assume the two samples are random and independent.

Population statistics: σ 1 = 1.5 and σ 2 = 1.9
Sample statistics: 1 = 29, n 1 = 50 and 2 = 27, n 2 = 60

11.

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