Question

The null and alternate hypotheses are:

H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂

A random sample of 8 observations from one population revealed a sample mean of 23 and a sample standard deviation of 3.9. A random sample of 8 observations from another population revealed a sample mean of 28 and a sample standard deviation of 4.4.

At the 0.05 significance level, is there a difference between the population means?

1. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

2. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)

3. Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

4. State your decision about the null hypothesis.

• Reject H₀.

• Do not reject H₀.

5. The p-value is

• between 0.05 and 0.02

• less than 0.001

• between 0.05 and 0.1

• between 0.001 and 0.01

• between 0.1 and 0.2

Answer 1