Question

The following hypotheses are given:

*H*_{0} : σ_{1}² − σ_{2}² ≤ 0

*H*_{1} : σ_{1}² − σ_{2}² >
0

A random sample of thirteen observations from the first population resulted in a standard deviation of 15. A random sample of forty nine observations from the second population showed a standard deviation of 18. At the 0.01 significance level, is there more variation in the first population?

**a.** State the decision rule. **(Round the
final answer to 2 decimal places.)**

Reject *H*_{0} if *F* >
.

**b.** Compute the value of the test statistic.
**(Round the final answer to 2 decimal places.)**

Value of the test statistic: ________________

**c.** What is your decision regarding
*H*_{o}?

(Do not reject or Reject?)

Answer #1

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a. State the decision rule. (Round the
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Reject...

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H0 : σ1² − σ2² ≤ 0
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