Suppose that Brooke is a manufacturing plant supervisor, and she is considering whether a new machine will pack items faster than their current machine. She selects independent simple random samples of packing times, in seconds, from both machines, summarized in the table. Population 1 2 Ho: H1 = 42 H: μη > με Population description New Machine Current Machine SE= Population mean Sample size H₁ (unknown) n₁ = 20 H₂ (unknown) n₂ = 18 Sample mean (s) x₁ = 46.731 x₂ = 44.933 Brooke then formulates the following null and alternative hypotheses to reflect her belief that the new machine works faster than the current machine. Sample standard deviation (s) $₁ = 0.675 $2 = 0.687 Calculate the standard error estimate, SE, of the difference between the mean packing times of the two machines. Then calculate the value of the two-sample t-statistic for this hypothesis test. Give your answer for the standard error rounded to five decimal places and your answer for the t-statistic rounded to three decimal places.

Suppose that Brooke is a manufacturing plant supervisor, and she is considering whether a new machine will pack items faster than their current machine. She selects independent simple random samples of packing times, in seconds, from both machines, summarized in the table. Population 1 2 Ho: H1 = 42 H: μη > με Population description New Machine Current Machine SE= Population mean Sample size H₁ (unknown) n₁ = 20 H₂ (unknown) n₂ = 18 Sample mean (s) x₁ = 46.731 x₂ = 44.933 Brooke then formulates the following null and alternative hypotheses to reflect her belief that the new machine works faster than the current machine. Sample standard deviation (s) $₁ = 0.675 $2 = 0.687 Calculate the standard error estimate, SE, of the difference between the mean packing times of the two machines. Then calculate the value of the two-sample t-statistic for this hypothesis test. Give your answer for the standard error rounded to five decimal places and your answer for the t-statistic rounded to three decimal places.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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