The Contents of a Sample of 26 Cans of Apple

question 43

Multiple Choice

The contents of a sample of 26 cans of apple juice showed a standard deviation of .06 ounces. We are interested in testing whether the variance of the population is significantly more than .003. At the .05 level of significance, the null hypothesis

• A) should be rejected.
• B) should not be rejected.
• C) should be revised.
• D) should not be tested.

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Definitions:

Base Rate Neglect

The tendency to ignore information about general principles in favor of very specific but vivid information.

Bonferroni Inequalities

Statistical safeguards used to reduce the chances of making incorrect inferences when multiple hypothesis tests are being performed simultaneously.

False Discovery Rate

A statistical method used to estimate the proportion of false positives among a set of identified positives, often applied in multiple hypothesis testing.

Boole's Inequality

A mathematical theorem that describes the upper bound on the probability of the union of several events, emphasizing the limitations of additive probabilities.