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Hypothesis Testing

Testing a Claim about a Standard Deviation or Variance

In the FBI promotion system, last year's decoration points had a standard deviation equivalent to 7.1. This year 27 of the tested individuals had scores with a standard deviation of 4.2. Use a 0.01 significance level to test the claim that this year's testers have less variation than last year's testers. Does a lower standard deviation suggest that this year, people are holding better decoration points?

Solve my Hypothesis-Testing Problem using the P-Value Method. Please show the formula, process and:

- State the hypotheses and identify the claim.
- Compute the test value, show equation
- Compute the P-value, show equation
- Make the decision.
- Summarize the results

Solution Preview


n = 27

sigma = 7.1

s = 4.2

Ho: The SD this year is 7.1 or higher, ...

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