A Hypothesis Tests That Two Population Means Are Equal

question 61

Multiple Choice

A hypothesis tests that two population means are equal.A sample of 10 with a standard deviation of 5 is selected from the first population and a sample of 15 with a standard deviation of 5 from the second population.The standard deviations are equal.Testing the claim at the 0.01 level,what is the critical value? Assume unequal standard deviations.

• A)3.355
• B)3.169
• C)2.896
• D)2.764

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a dataset deviate from the mean.

Weekly Income

The total amount of money earned or received by an individual or household in the span of one week.

Normal Model

A statistical model that assumes the dataset follows a normal distribution, often used in various statistical analyses.

Probability

Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.