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Given the Following Hypotheses, Is a One-Tailed or Two-Tailed Test

question 58

Short Answer

Given the following hypotheses, is a one-tailed or two-tailed test more appropriate?
a. H0: m = 5, H1: m ≠ 5
b. H0: m = 0, H1: m > 0
c. H0: m = 100, H1: m


Definitions:

Standard Error

The standard deviation of the sample mean's distribution; a measure of how much a sample mean varies from the true population mean.

Pooled Estimator

A statistical method that combines multiple estimates to produce a better overall estimate.

Variance

The square of the standard deviation, representing the average of the squared differences from the mean, and measures the spread of a data set.

Standard Deviation

A statistic that measures the dispersion or variation of a set of values from its mean, indicating how spread out the values are.

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