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The following samples describe the weights of bars produced by a machine in a factory. 1: 4.61 4.75 5.58 4.9 6.19 6: 5.43 5.19 6.28 3.01 4.27 2: 4.09 4.76 1.91 4.96 3.77 7: 4.48 5.69 8.48 7 3.35 5.34 4.39 5.21 2.72 3: 2.67 4.09 5.77 4.24 6.28 8: 5.1 4: 7.65 7.81 5.26 5.64 5.46 9: 6 5.73 5.51 2.25 7.1 5: 6.11 7.05 6.91 3.59 3.72 10: 5.8 6.16 5.52 4.1 2.01 (a) Calculate the mean of each sample and hence construct a histogram of the sample means. (b) Do the sample means appear normally distributed? Give reasons for your answer.

The following samples describe the weights of bars produced by a machine in a factory. 1: 4.61 4.75 5.58 4.9 6.19 6: 5.43 5.19 6.28 3.01 4.27 2: 4.09 4.76 1.91 4.96 3.77 7: 4.48 5.69 8.48 7 3.35 5.34 4.39 5.21 2.72 3: 2.67 4.09 5.77 4.24 6.28 8: 5.1 4: 7.65 7.81 5.26 5.64 5.46 9: 6 5.73 5.51 2.25 7.1 5: 6.11 7.05 6.91 3.59 3.72 10: 5.8 6.16 5.52 4.1 2.01 (a) Calculate the mean of each sample and hence construct a histogram of the sample means. (b) Do the sample means appear normally distributed? Give reasons for your answer.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The following samples describe the weights of bars produced by a machine in a factory. 1: 4.61 4.75 5.58 4.9 6.19 6: 5.43 5.19 6.28 3.01 4.27 2: 4.09 4.76 1.91 4.96 3.77 7: 4.48 5.69 8.48 7 3.35 3: 2.67 4.09 5.77 4.24 6.28 8: 5.1 5.34 4.39 5.21 2.72 4: 7.65 7.81 5.26 5.64 5.46 9: 6 5.73 5.51 2.25 7.1 5: 6.11 7.05 6.91 3.59 3.72 10: 5.8 6.16 5.52 4.1 2.01 (a) Calculate the mean of each sample and hence construct a histogram of the sample means. (b) Do the sample means appear normally distributed? Give reasons for your answer.
Transcribed Image Text:The following samples describe the weights of bars produced by a machine in a factory. 1: 4.61 4.75 5.58 4.9 6.19 6: 5.43 5.19 6.28 3.01 4.27 2: 4.09 4.76 1.91 4.96 3.77 7: 4.48 5.69 8.48 7 3.35 3: 2.67 4.09 5.77 4.24 6.28 8: 5.1 5.34 4.39 5.21 2.72 4: 7.65 7.81 5.26 5.64 5.46 9: 6 5.73 5.51 2.25 7.1 5: 6.11 7.05 6.91 3.59 3.72 10: 5.8 6.16 5.52 4.1 2.01 (a) Calculate the mean of each sample and hence construct a histogram of the sample means. (b) Do the sample means appear normally distributed? Give reasons for your answer.
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