2. From a population that is normally distributed with an unknown standard deviation, a sample of 25 elements is selected. For the interval estimation of µ, the proper distribution to use is the standard normal distribution z distribution t distribution with 26 degrees of freedom t distribution with 24 degrees of freedom

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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**Question:**

From a population that is normally distributed with an unknown standard deviation, a sample of 25 elements is selected. For the interval estimation of μ, the proper distribution to use is the _____.

**Options:**

- O standard normal distribution
- O z distribution
- O t distribution with 26 degrees of freedom
- O t distribution with 24 degrees of freedom

**Analysis:**

Since the sample size is 25, we apply the t distribution. The degrees of freedom are calculated as the sample size minus one, which is 24. Therefore, the correct choice is:

- O t distribution with 24 degrees of freedom
Transcribed Image Text:**Question:** From a population that is normally distributed with an unknown standard deviation, a sample of 25 elements is selected. For the interval estimation of μ, the proper distribution to use is the _____. **Options:** - O standard normal distribution - O z distribution - O t distribution with 26 degrees of freedom - O t distribution with 24 degrees of freedom **Analysis:** Since the sample size is 25, we apply the t distribution. The degrees of freedom are calculated as the sample size minus one, which is 24. Therefore, the correct choice is: - O t distribution with 24 degrees of freedom
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