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Mathematics, 28.02.2020 01:49 AM28

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Eighty-one random people were surveyed about the time it takes to commute to work in the morning. The standard deviation of the simple random sample is 2.3 minutes. The test statistic for the sample is 105.8. Find the critical values, using a significance level of 0.10, needed to test a claim that the standard deviation of all commute times is equal to 2.0 minutes. State the initial conclusion.
a. 60.391 and 101.879; because the test statistic is in a critical region, the test rejects the null hypothesis.
b. 60.391 and 101.879; because the test statistic is outside of the critical region, the test fails to reject the null hypothesis.
c. 69.126 and 113.145; because the test statistic is in a critical region, the test rejects the null hypothesis.
d. 69.126 and 113.145; because the test statistic is in the critical region, the test fails to reject the null hypothesis.

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