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15. A test of significance is to be carried out with hypotheses H 0 : = 36 vs. H a : < 36 based on

15. A test of significance is to be carried out with hypotheses H0: = 36 vs. Ha: < 36 based on data from a simple random sample selected from a normally distributed population variable. It was decided to use a level of significance of = 0.02 to decide whether or not to reject the null hypothesis. The sample data produced a standard deviation of 15.6 based on 12 sample values. If the p-value for the test is 0.067, what is the appropriate conclusion?

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Reject H0, there is sufficient evidence to conclude the mean is less than 36.

Fail to reject H0, there is sufficient evidence to conclude the mean is less than 36.

Fail to reject H0, there is insufficient evidence to conclude the mean is less than 36.

Reject H0, there is insufficient evidence to conclude the mean is less than 36.

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