1.7164 filet mignons. If she were to formulate null and alternative hypotheses as H₀: µ₁ – µ₂ = 0, H₁: µ₁ – µ₂ ≠ 0 and conduct a hypothesis test with α = 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 n₁ = 36 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 = 7.14 and the sample variance s21s12= 25. Likewise, she selects a random sample of size n₂ = 49 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 = 11.79 and the sample variance s22s22= 20.
The statistician checks and concludes that the data satisfy the required assumptions for the independent-measures t test. Then she computes the 90% confidence
If she were to formulate null and alternative hypotheses as H₀: µ₁ – µ₂ = 0, H₁: µ₁ – µ₂ ≠ 0 and conduct a hypothesis test with α = 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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