Question

It has long been stated that the mean temperature of humans is 98.6degreesF. ​However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6degreesF. They measured the temperatures of 56 healthy adults 1 to 4 times daily for 3​ days, obtaining 250 measurements. The sample data resulted in a sample mean of 98.4degreesF and a sample standard deviation of 1degreesF. Use the​ P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6degreesF at the alphaequals0.01 level of significance. State the hypotheses. Upper H 0​: mu equals 98.6degreesF Upper H 1​: mu less than 98.6degreesF

Find the test statistic. t 0 equals ? ​(Round to two decimal places as​ needed.)

Answer 1

The null and alternate hypothesis are:
H0:
Ha:

The test statistic is given by:

Since this is a left-tailed test, so the p-value is given by:

Since p-value is less than 0.01, so we have sufficient evidence to reject the null hypothesis
H0.

So, we reject H0 and say