rvlet/quiz?ctx-whlevine-0007&quiz; action-takeQuizquiz_ probGuid QNAPCOA80101 10
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rvlet/quiz?ctx-whlevine-0007&quiz; action-takeQuizquiz_ probGuid QNAPCOA80101 1010000003 Bick-m_152 Problem Set K Graded Assignment | Read Chapter 10 | Back to Assignment Due Thursday 03.29.18 at 02:00 PM Attempts: Average: 13 9. The relationship between confidence intervals and hypothesis testing Aa In an effort to better manage her inventory levels, the owner of two steak and seafood restaurants, both located in the same city, hires a statistician to conduct a statistical study. The owner is interested in whether the restaurant located on the east side sells more halibut fillets per night than the restaurant located on the west side of the city The statistician selects a random sample of size n 48 nights that the eastside restaurant is open. For each night in the sample, he collects data on the number of halibut fillets sold at the eastside location and computes the sample mean M 12.43 and the sample variance s? -22. Likewise, he selects a random sample of size n2 41 nights that the westside restaurant is open. For each night in the sample, he collects data on the number of halibut fillets sold at the westside location and computes the sample mean M2 11.12 and the sample variance s-21. The statistician checks and concludes that the data satisfy the required assumptions for the independent-measures t test. Then he computes the 95% confidence interval for estimating the difference between the mean number of halibut fillets sold per right at the eastside restaurant and the mean number of halibut fillets sold per night at the westside restaurant. This 95% confidence interval is 1.31 ± 1.9621 halibut fillets. If he were to formulate null and alternative hypotheses as Ho: ??-P2-0, H 1: ??-a * 0 and conduct a hypothesis test with a .05, the null hypothesis interval. Hence, he would conclude that there between the two restaurants. rejected based on the result that a difference of zero In the computed a significant difference between the mean nightly sales of halibut filletsExplanation / Answer
The confidence interval of the parameter is also same as the acceptance region,hence if the test dtatistic fall into the the acceptance region or the confidence interval we fail to reject the hypothesis and vice-versa.
So,
The null hypothesis (a)would not be rejected on the result that a difference of zero (b)is in the computed interval.Hence he would conclude that there (c)is not a significance difference between the mean nightly sales of halibut fillets etween the two restaurants.
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