Eleven regular employees of a corporation were asked to proceed to the clinic for their annual physical examination. As part of the process, their temperatures were taken by the company nurse, which were then recorded on their APE Forms. The temperatures of the eleven employees were as follows: 37.18C, 36.09C, 36.81C, 37.42C, 35.93C, 37.65C, 36.44C, 37.28C, 37.52C, 36.31C, and 37.79C. However, the company nurse had made a mistake in recording the first and ninth temperatures. The temperature of the first employee was 0.09C higher, while the temperature of the ninth employee was 0.11C lower. Assume that the values were normally distributed. a.  If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the variance for the eleven officers? b. If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the standard deviation of the sample using the correct values? c. If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the sampling error? d.  If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the non-sampling error?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Eleven regular employees of a corporation were asked to proceed to the clinic for their annual physical examination. As part of the process, their temperatures were taken by the company nurse, which were then recorded on their APE Forms. The temperatures of the eleven employees were as follows: 37.18C, 36.09C, 36.81C, 37.42C, 35.93C, 37.65C, 36.44C, 37.28C, 37.52C, 36.31C, and 37.79C. However, the company nurse had made a mistake in recording the first and ninth temperatures. The temperature of the first employee was 0.09C higher, while the temperature of the ninth employee was 0.11C lower. Assume that the values were normally distributed.

a.  If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the variance for the eleven officers?
b. If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the standard deviation of the sample using the correct values?
c. If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the sampling error?
d.  If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the non-sampling error?

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