Question

The null and alternate hypotheses are:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

A random sample of 27 items from the first population showed a mean of 114 and a standard deviation of 15. A sample of 15 items for the second population showed a mean of 106 and a standard deviation of 9. Use the 0.025 significant level.

1. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)

2. State the decision rule for 0.025 significance level. (Round your answer 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 the null hypothesis? Use the 0.03 significance level.

Answer 1

(a)

(b)

(c)

(d) By decision rule, we reject the null hypothesis.