For the test of significance questions, clearly indicate each of the formal steps in the test of significance.
Step 1: State the null and alternative hypothesis.
Step 2: Calculate the test statistic.
Step 3: Find the p-value.
Step 4: State your conclusion. (Do not just say “Reject H0” or “Do not reject H0”, state the conclusion in the context of the problem.)
A market research group is interested in comparing the mean weight loss for two different popular diets. The researcher chooses two random samples of participants for the two diet programs. For Diet A, the mean weekly weight loss for 10 participants was 1.5 pounds with standard deviation 0.4 pounds. For Diet B, the mean weekly weight loss for 12 participants was 1.2 pounds with standard deviation 0.6 pounds. At a 5% significance level, does this indicate that Diet A is better than Diet B?
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