3 4. In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on the average than the machine currently used. To test that hypothesis, the times it takes each machine to pack ten cartons are recorded. The results, in seconds, are shown in the following table. Now, we suppose that packing time is normally distributed with mean and two populations have the same unknown standard deviations (For R, you can use -4 packingtime.csv) 5 Assume New 42.1 41.3 42.4 43.2 41.8 41 41.8 42.8 42.3 42.7 Machine Old 42.7 43.8 42.5 43.1 44 43.6 43.3 43.5 41.7 44.1 7 Machine 8 1 (a) What is the degrees of freedom in this case? (We call it the pooled two-samplet procedure) 2 3 (b) What is the pooled standard deviation, Sp? (Round it to two decimal places) 5 (c) What is the pooled two-samplet statistic? (Round it to two decimal places) =7 (d) What is the P-value of the test? 8 (e) At 5% significance level, what is your conclusion of the test? (statistical conclusion and its interpretation). :9

3 4. In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on the average than the machine currently used. To test that hypothesis, the times it takes each machine to pack ten cartons are recorded. The results, in seconds, are shown in the following table. Now, we suppose that packing time is normally distributed with mean and two populations have the same unknown standard deviations (For R, you can use -4 packingtime.csv) 5 Assume New 42.1 41.3 42.4 43.2 41.8 41 41.8 42.8 42.3 42.7 Machine Old 42.7 43.8 42.5 43.1 44 43.6 43.3 43.5 41.7 44.1 7 Machine 8 1 (a) What is the degrees of freedom in this case? (We call it the pooled two-samplet procedure) 2 3 (b) What is the pooled standard deviation, Sp? (Round it to two decimal places) 5 (c) What is the pooled two-samplet statistic? (Round it to two decimal places) =7 (d) What is the P-value of the test? 8 (e) At 5% significance level, what is your conclusion of the test? (statistical conclusion and its interpretation). :9

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Description: answrs to 4d 4e 34. In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on theaverage than the machine currently used. To test that hypothesis, the times it takes each machine to pack ten cartonsa

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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