The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 23 items from the first population showed a mean of 112 and a standard deviation of 10. A sample of 17 items for the second population showed a mean of 106 and a standard deviation of 10. Use the 0.025 significant level. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding the null hypothesis? Use the 0.03 significance level.
At 0.025 significance level, the critical value is t0.975,16 = 2.120
The test statistic
Since the test statistic value is not greater than the critical value(1.876 < 2.120), so we should not reject the null hypothesis.
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