Question

The null and alternate hypotheses are:

H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂

A random sample of 12 observations from one population revealed a sample mean of 25 and a sample standard deviation of 3.5. A random sample of 9 observations from another population revealed a sample mean of 30 and a sample standard deviation of 3.5.

At the 0.01 significance level, is there a difference between the population means?

1. State the decision rule. (Negative values 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 value 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 0.01 and 0.001

• less than 0.1

• between 0.02 and 0.05

• between 0.1 and 0.2

• between 0.05 and 0.1

Answer 1