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In an effort to better manage his 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 south side sells more filet mignons per night than the restaurant located on the north side of the city. The statistician selects a random sample of size n, = 35 nights that the southside restaurant is open. For each night in the sample, she collects data on the number of filet mignons sold at the southside location and computes the sample mean M1 = 3.68 and the sample variance s= 36. Likewise, she selects a random sample of size n2 = 32 nights that the northside restaurant is open. For each night in the sample, she collects data on the number of filet mignons sold at the northside location and computes the sample mean M2 = 2.34 and the sample variance s= 30. The statistician checks and concludes that the data satisfy the required assumptions for the independent-measures t test. Then she computes the 90% confidence interval for estimating the difference between the mean number of filet mignons sold per night at the southside restaurant and the mean number of filet mignons sold per night at the northside restaurant. This 90% confidence interval is 1.34 ± 2.3499 filet mignons. If she were to formulate null and alternative hypotheses as Ho: H1 - P2 = 0, H1: P1 - P2 + 0 and conduct a hypothesis test with a = 0.10, the null hypothesis rejected based on the result that a difference of zero in the computed interval. Hence, she would conclude that there a significant difference between the mean nightly sales of filet mignons between the two restaurants.

In an effort to better manage his 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 south side sells more filet mignons per night than the restaurant located on the north side of the city. The statistician selects a random sample of size n, = 35 nights that the southside restaurant is open. For each night in the sample, she collects data on the number of filet mignons sold at the southside location and computes the sample mean M1 = 3.68 and the sample variance s= 36. Likewise, she selects a random sample of size n2 = 32 nights that the northside restaurant is open. For each night in the sample, she collects data on the number of filet mignons sold at the northside location and computes the sample mean M2 = 2.34 and the sample variance s= 30. The statistician checks and concludes that the data satisfy the required assumptions for the independent-measures t test. Then she computes the 90% confidence interval for estimating the difference between the mean number of filet mignons sold per night at the southside restaurant and the mean number of filet mignons sold per night at the northside restaurant. This 90% confidence interval is 1.34 ± 2.3499 filet mignons. If she were to formulate null and alternative hypotheses as Ho: H1 - P2 = 0, H1: P1 - P2 + 0 and conduct a hypothesis test with a = 0.10, the null hypothesis rejected based on the result that a difference of zero in the computed interval. Hence, she would conclude that there a significant difference between the mean nightly sales of filet mignons between the two restaurants.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In an effort to better manage his 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 south side sells more filet mignons per night than the restaurant located on the north side of the city. The statistician selects a random sample of size n1 = 35 nights that the southside restaurant is open. For each night in the sample, she collects data on the number of filet mignons sold at the southside location and computes the sample mean M1 3.68 and the sample variance s= 36. Likewise, she selects a random sample of size n2 = 32 nights that the northside restaurant is open. For each night in the sample, she collects data on the number of filet mignons sold at the northside location and computes the sample mean M2 = 2.34 and the sample variance s,= 30. The statistician checks and concludes that the data satisfy the required assumptions for the independent-measures t test. Then she computes the 90% confidence interval for estimating the difference between the mean number of filet mignons sold per night at the southside restaurant and the mean number of filet mignons sold per night at the northside restaurant. This 90% confidence interval is 1.34 ± 2.3499 filet mignons. If she were to formulate null and alternative hypotheses as Họ: µ1 - P2 = 0, H1: µ1 Hz + 0 and conduct a hypothesis test with a = 0.10, the null hypothesis rejected based on the result that a difference of zero in the computed interval. Hence, she would conclude that there a significant difference between the mean nightly sales of filet mignons between the two restaurants.
Transcribed Image Text:In an effort to better manage his 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 south side sells more filet mignons per night than the restaurant located on the north side of the city. The statistician selects a random sample of size n1 = 35 nights that the southside restaurant is open. For each night in the sample, she collects data on the number of filet mignons sold at the southside location and computes the sample mean M1 3.68 and the sample variance s= 36. Likewise, she selects a random sample of size n2 = 32 nights that the northside restaurant is open. For each night in the sample, she collects data on the number of filet mignons sold at the northside location and computes the sample mean M2 = 2.34 and the sample variance s,= 30. The statistician checks and concludes that the data satisfy the required assumptions for the independent-measures t test. Then she computes the 90% confidence interval for estimating the difference between the mean number of filet mignons sold per night at the southside restaurant and the mean number of filet mignons sold per night at the northside restaurant. This 90% confidence interval is 1.34 ± 2.3499 filet mignons. If she were to formulate null and alternative hypotheses as Họ: µ1 - P2 = 0, H1: µ1 Hz + 0 and conduct a hypothesis test with a = 0.10, the null hypothesis rejected based on the result that a difference of zero in the computed interval. Hence, she would conclude that there a significant difference between the mean nightly sales of filet mignons between the two restaurants.
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