A personal computer manufacturer is interested in comparing the mean assembly times for two keyboard assembly processes. To do this, the company selects 10 workers at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these workers. Then, the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown in the table below. Worker Process 1 Process 2 Difference (Process 1 - Process 2) Send data to calculator V 1 78.3 69.5 2 44.5 48.5 3 79.3 O independent samples O paired (dependent) samples 76.5 4 20.2 38.0 5 46.2 X 83.0 6 48.9 7 5 8 57.8 64.6 9 10 70.0 27.2 24.8 22.0 8.8 -4 2.8 -17.8 -36.8 -8.9 5.4 -39.3 -36.7 -46.9 66.5 61.5 (a) Are the two samples of assembly times independent or paired (dependent) samples? Choose the best answer. 68.9 (b) The company wants to use the data to determine whether the assembly times of the two processes differ. The company will perform a hypothesis test of the mean of the population of differences (Process 1 minus Process 2). The sample mean and standard deviation of the sample of differences in the bottom row are-17.34 and 20.99, respectively. Assume that the population of these differences is approximately normally distributed. Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) (Español Accessibility
A personal computer manufacturer is interested in comparing the mean assembly times for two keyboard assembly processes. To do this, the company selects 10 workers at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these workers. Then, the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown in the table below. Worker Process 1 Process 2 Difference (Process 1 - Process 2) Send data to calculator V 1 78.3 69.5 2 44.5 48.5 3 79.3 O independent samples O paired (dependent) samples 76.5 4 20.2 38.0 5 46.2 X 83.0 6 48.9 7 5 8 57.8 64.6 9 10 70.0 27.2 24.8 22.0 8.8 -4 2.8 -17.8 -36.8 -8.9 5.4 -39.3 -36.7 -46.9 66.5 61.5 (a) Are the two samples of assembly times independent or paired (dependent) samples? Choose the best answer. 68.9 (b) The company wants to use the data to determine whether the assembly times of the two processes differ. The company will perform a hypothesis test of the mean of the population of differences (Process 1 minus Process 2). The sample mean and standard deviation of the sample of differences in the bottom row are-17.34 and 20.99, respectively. Assume that the population of these differences is approximately normally distributed. Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) (Español Accessibility
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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