Test Hypotheses About a Population Mean with Known Using the Classical

question 107

Multiple Choice

Test Hypotheses about a Population Mean with Known Using the Classical Approach
-You wish to test the claim that $\mu > 21$ at a level of significance of $\alpha = 0.05$ and are given sample statistics $n = 50$ , $\bar { x } = 21.3$ , and $\sigma = 1.2$ . Compute the value of the test statistic. Round your answer to two decimal places.

• A) \(1.77\)
• B) \(2.31\)
• C) \(0.98\)
• D) \(3.11\)

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Definitions:

Equal Sample Sizes

A condition in experimental design where all groups being compared have the same number of observations or participants.

Type I Error

The incorrect rejection of a true null hypothesis, also known as a "false positive" finding or conclusion.

Type II Error

A statistical error in which a false null hypothesis is not rejected, also known as a 'false negative'.

Null Hypothesis

A statistical hypothesis that assumes no significant difference or effect exists within a certain set of observations.