It has long been stated that the mean temperature of humans is 98.6°F. However,
ID: 3372000 • Letter: I
Question
It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F.
They measured the temperatures of 148 healthy adults 1 to 4 times daily for 3? days, obtaining 500 measurements. The sample data resulted in a sample mean of 98.0°F and a sample standard deviation of 0.50°F.
?(a)
?(b)
Approximate the? P-value.
(a) Choose the correct answer below.
A. Do not reject Ho since the test statistic is less than the critical value.
B. Reject Ho since the test statistic is less than the critical value.
C. Do not reject Ho since the test statistic is not less than the critical value.
D. Reject Upper Ho since the test statistic is not less than the critical value.
?(a)
Using the classical? approach, judge whether the mean temperature of humans is less than 98.6°Fat the ?=0.01 level of significance.
?(b)
Approximate the? P-value.
Questkon Hop bApproximale the P-ylue (a) Choose the oet anower below A. Do not roject l , 2nco te test static is less than the critical Value O B. Rojcct Hy shcc the test stattc s les than the crtical valuc. o c O C. Do notrect Hy snce the teat tnot ess thanthe cracal valu O D. Reject Hy since the test statstc is not less than the critical value. (b) i ha ?-vaua s approoimately 1 ? UHound 10 5cur decimal places as nooded.]Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 98.6
HA : ? < 98.6
Hypothesis test results:
Hence,
a) Reject Ho since the test statistic is less than the critical value.
b) p - Value = 0.0000
Mean Sample Mean Std. Err. DF T-Stat P-value ? 98 0.02236068 499 -26.832816 <0.0001Related Questions
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