The eleven regular employees of Migdol 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: 37.18°C, 36.09°C, 36.81°C, 37.42°C, 35.93°C, 37.65°C, 36.44°C, 37.28°C, 37.52°C, 36.31°C, and 37.79°C. However, the company nurse had made a mistake in recording the first and ninth temperatures. The temperature of the first employee was 0.09°C higher, while the temperature of the ninth employee was 0.11°C 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 standard deviation of the sample using the correct values? (b.) If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the variance for the eleven officers? (c.) If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the sampling error?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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The eleven regular employees of Migdol 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: 37.18°C, 36.09°C, 36.81°C, 37.42°C, 35.93°C, 37.65°C, 36.44°C, 37.28°C, 37.52°C,
36.31°C, and 37.79°C. However, the company nurse had made a mistake in recording the first and ninth temperatures. The temperature
of the first employee was 0.09°C higher, while the temperature of the ninth employee was 0.11°C 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 standard deviation of the sample
using the correct values?
(b.) If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the variance for the eleven officers?
(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?
Transcribed Image Text:The eleven regular employees of Migdol 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: 37.18°C, 36.09°C, 36.81°C, 37.42°C, 35.93°C, 37.65°C, 36.44°C, 37.28°C, 37.52°C, 36.31°C, and 37.79°C. However, the company nurse had made a mistake in recording the first and ninth temperatures. The temperature of the first employee was 0.09°C higher, while the temperature of the ninth employee was 0.11°C 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 standard deviation of the sample using the correct values? (b.) If six samples were selected, specifically – the first, fourth, fifth, eighth, ninth, and tenth, what was the variance for the eleven officers? (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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