Question

Exercise 11-8 (LO11-2)

The null and alternate hypotheses are:

H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂

A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15.

At the 0.10 significance level, is there a difference in the population means?

1. Is this a one-tailed or a two-tailed test?

• One-tailed test.

• Two-tailed test.

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

3. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

4. What is your decision regarding H₀?

• Do not reject H₀.

• Reject H₀.

5. The p-value is

• less than 0.001.

• between 0.001 and 0.01.

• between 0.01 and 0.05.

• between 0.05 and 0.1.

• between 0.1 and 0.2.

Answer 1

The statistical software output for this problem is:

Hence,

a) Two - Tailed Test

b) Decision rule:

Reject Ho if t < -1.310 or t > 1.310

c) Test statistic = 1.651

d) Do not reject Ho

e) Between 0.1 and 0.2