20. A very large population has a mean of 55 and a standard deviation of 8. One day a sample of 40 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true? The standard error of the mean will be smaller with 40 observations. The standard error of the mean will be larger with 40 observations. The standard error of the mean will be the same with either 40 or 100 observations. It is impossible to determine any of the above given the available information.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Question 20:**

A very large population has a mean of 55 and a standard deviation of 8. One day a sample of 40 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true?

- ☐ The standard error of the mean will be smaller with 40 observations.
- ☐ The standard error of the mean will be larger with 40 observations.
- ☐ The standard error of the mean will be the same with either 40 or 100 observations.
- ☐ It is impossible to determine any of the above given the available information.
Transcribed Image Text:**Question 20:** A very large population has a mean of 55 and a standard deviation of 8. One day a sample of 40 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true? - ☐ The standard error of the mean will be smaller with 40 observations. - ☐ The standard error of the mean will be larger with 40 observations. - ☐ The standard error of the mean will be the same with either 40 or 100 observations. - ☐ It is impossible to determine any of the above given the available information.
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From the given information, µ = 55 and σ = 8.

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