It has long been stated that the mean temperature of humans is 98.6 degree F. Ho

Question

It has long been stated that the mean temperature of humans is 98.6 degree F. However, two researchers currently invoked in the subject thought that the mean temperature of humans is less than 98.6 degree F. They measured the temperatures of 67 healthy adults 1 to 4 times daily for 3 days, obtaining 300 measurements. The sample data resulted in a sample mean of 98.4 degree F and a sample standard deviation of 1 degree F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6 degree F at the alpha = 0.01 level of significance. State the hypotheses. H_0: mu = 98.6 degree F H_1: mu

Explanation / Answer

the null hypothesis = Ho= u = 98.6

the alternate hypothesis = Ha= u<98.6

the n = 300

therefore we can treat it as normal

the z stat = (x-mean)/(standard devition/sqrt(n))

= (98.4-98.6)/(1/sqrt(300)

= -3.46

therefore from the z table the p value = 0.000

as the significance level = 0.01

and the p value is less then the significance level therefore we can reject the null hypothesis therefpore option 3 is correct

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