Construct and Interpret a Confidence Interval for a Pop Mean $\sigma = 5.7$

question 85

Short Answer

Construct and Interpret a Confidence Interval for a Pop Mean, Assuming that the Pop Std Dev is Known
-In a recent study of 86 eighth graders, the mean number of hours per week that they played video games was 21.6. Assume $\sigma = 5.7$ hours.
a) Compute the $90 \%$ confidence interval for $\mu$ .
b) If the standard deviation is doubled to $11.4$ , what will be the effect on the confidence interval?

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Definitions:

Experimental Manipulation

An experimental technique that involves changing one variable to determine if there is an effect on another variable.

Persuasive Speech

A form of communication aimed at convincing the audience to adopt a particular viewpoint or take a specific action.

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A theory suggesting that individuals experience discomfort (dissonance) when their beliefs or behaviors are inconsistent, leading them to make changes to reduce this discomfort.

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