To test (H_{0}: sigma=0.35) versus (H_{1}: sigma <0.35), a random sample of size (n=41) is obtained from

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To test $H_{0}: \sigma=0.35$ versus $H_{1}: \sigma<0.35$, a random sample of size $n=41$ is obtained from a population that is known to be normally distributed.

(a) If the sample standard deviation is determined to be $s=0.23$, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the $\alpha=0.01$ level of significance, determine the critical value.

(c) Draw a chi-square distribution and depict the critical region.

(d) Will the researcher reject the null hypothesis? Why?

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Statistics Informed Decisions Using Data

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5th Global Edition

Authors: Michael Sullivan

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Question Posted: Mar 30, 2024 11:01 AM

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To test (H_{0}: sigma=0.35) versus (H_{1}: sigma <0.35), a random sample of size (n=41) is obtained from

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Statistics Informed Decisions Using Data

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