Problem

It has long been stated that the mean temperature of humans is 98.6F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6F. They measured the temperatures of 61 healthy adults 1 to 4 times dally for 3 days, obtaining 275 measurements. The samplo data resulted in a sample mean of 98.4F and a sample standard deviation of 1F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6F at the α=0.01 level of significance.

State the hypotheses.
H0:Hμ=98.6FH1:μ<98.6F

Find the test statistic.
t0=
(Round to two decimal places as needed.)

Answer

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Answer

Final Answer: The test statistic is 3.32

Steps

Step 1 :State the hypotheses: H0:μ=98.6F, H1:μ<98.6F

Step 2 :Find the test statistic using the formula: t0=x¯μ0s/n

Step 3 :Substitute the given values into the formula: t0=98.498.61/275

Step 4 :Calculate the test statistic: t0=3.32

Step 5 :Final Answer: The test statistic is 3.32

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