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2. [0/8 Points] DETAILS PREVIOUS ANSWERS ASWSBE14 10.E.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate appendix table or technology to answer this question. A magazine conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.48, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.20. Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. (a) What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? (Use smaller cruise ships - larger cruise ships.) 4.02 X (b) At 95% confidence, what is the margin of error? (Round your answer to two decimal places.) 1.89 X (c) What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships? (Use smaller cruise ships - larger cruise ships. Round your answers to two decimal places.) 2.13 x to 5.91 X Need Help? Read It Watch It3. [-/20 Points] DETAILS ASWSBE14 10.E.019. You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 - Population 2.) Population Element 2 Difference 21 19 28 3 18 16 20 20 5 26 25 (b) Compute d. (c) Compute the standard deviation s (d) Conduct a hypothesis test using a = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Do not Reject Ho. There is sufficient evidence to conclude that # > 0. O Reject H . There is sufficient evidence to conclude that At > 0. O Reject Ho. There is insufficient evidence to conclude that , > 0. Do not reject Ho. There is insufficient evidence to conclude that a > 0