Question 11: please Answer everything!!

11. Effect size and Cohen's d Suppose a researcher is trying to understand whether people who purchase fast-food hamburgers would be willing to pay more if the hamburger comes with a free whistle. Prior research suggests the mean amount customers say they are willing to pay for a hamburger is u = 2.72 and o = 0.91. The researcher plans to conduct a study very similar to the prior research by selecting a sample of customers and asking them how much they are willing to pay for the hamburger. Before asking, however, he will tell the customer about the free whistle that will come with the hamburger. The researcher's null hypothesis is that the mean amount the customers are willing to pay when they are told about the free whistle is no different than the amount customers are willing to pay when they are not told they will receive a free whistle. The researcher's sample of 49 customers has a sample mean of M = 1.96. The test statistic for this sample mean is -5.85. Using a significance level of a = .05, which of the following is the most appropriate statement of the result? (Hint: For a two-tailed test with a = .05 and o known, the boundaries of the critical region are always +1.96.) Telling customers they will receive a free whistle with their hamburger did not have a significant effect on the amount they say they are willing to pay for a hamburger, z = 1.96, p > .05. Telling customers they will receive a free whistle with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = -5.85, p