It has long been stated that the mean temperature of humans is 98 6°F However, t

Question

It has long been stated that the mean temperature of humans is 98 6°F However, two researchers curently involved in the subject thought that the mean temperature of humans is less than 986°F. They measured the temperatures of 148 hoalthy adults 1 to 4 times daly for 3 days, obtaining 700 measurements. The sample data resulted in a sample mean of 98.0 F and a sample st (a Using the classical approach, judge whether the mean temperature of humans is less than 98 6 F at the :001 level of significance (b)Approximate the P-value Click andard deviation of 0 60F Tail (a) Choose the correct answer below A. Re ect Ho since the test statistic is less than the critical value B. Do not reject Ho since the test statistic is less than the crtical value Do not reject Ho since the test statistic is not less than the critical value Reject Ho since the test statistic is not less than the critical value O c· O D.

Explanation / Answer

The appropriate hypotheses for the testing are:

Null Hypothesis, H0 : µ = 98.6

Alternate Hypothesis, H1 : µ < 98.6

The test statistic = (98-98.6)/(0.6/sqrt(700)) = -26.4575

Critical t-value for a left tailed t-distribution corresponding to alpha =0.01 is about 2.33

Since our test statistc is less than the critical t-value, we can reject the Null hypothesis.

So, Reject H0 since the test statistic is less than the critical value.

The p-value corresponding to the test statistic of -26.4575 is approximately 0.

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