Random Samples of Size 49 Are Taken from a Population

question 53

Multiple Choice

Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are _____.

• A) 180 and 24.39
• B) 180 and 28
• C) 180 and 1.74
• D) 180 and 2

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Definitions:

Null Hypothesis

In statistical testing, the hypothesis that there is no effect or no difference, and any observed variations are due to chance.

Level Of Significance

The threshold below which a p-value must fall for an effect to be considered statistically significant, indicating the extent to which a test rejects the null hypothesis.

Confidence Interval

A statistical range, based on sample data, that is likely to contain the true population parameter with a specified level of confidence.

Segmentation Variable

A variable used to divide a population into distinct subgroups, based on specific characteristics, in order to target them more effectively.