It has long been stated that the mean temperature of humans is 98.6degreesF. How

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 50 healthy adults 1 to 4 times daily for 3 days, obtaining 225 measurements. The sample data resulted in a sample mean of 98.4degreesF and a sample standard deviation of 0.9degreesF. 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 alpha=0.01 level of significance.

State the hypotheses.

Upper H 0H0: 98.6 F

Upper H 1H1: 98.6 F

Find the test statistic.

t0=? (Round to two decimal places as needed.)

The P-value is ? (Round to three decimal places as needed.)

What can be concluded?

A. RejectUpper H0 since the P-value is less than the significance level.

B. Reject Upper H0 since the P-value is not less than the significance level.

C.Do not reject Upper H0 since the P-value is less than the significance level.

D. Do not reject Upper H0 since the P-value is not less than the significance level.

Explanation / Answer

Hypothesis:
H0 : mean = 98.6
Ha : mean < 98.6

Test statistic:

x = 98.4 , s = 0.9 , n = 225

t = ( x - mean) / (s/sqrt(n))
= (98.4 - 98.6) / (0.9 /sqrt(225))
= 3.333
p value is calculated using t= 3.333 , df = 224 at 0.01 significance level.

P value = .000503.

A. RejectUpper H0 since the P-value is less than the significance level.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.