It has long been stated that the mean temperature of humans is 98.6degrees°F. ​However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6degrees°F. 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 98.3degrees°F and a sample standard deviation of 11degrees°F. Use the​ P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6degrees°F at the alphaαequals=0.01 level of significance. State the hypotheses.   Upper H 0H0​: ▼   muμ pp sigmaσ ▼   less than< equals= greater than> not equals≠ 98.6degrees°F Upper H 1H1​: ▼   pp sigmaσ muμ ▼   greater than> not equals≠ equals= less than< 98.6degrees°F

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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It has long been stated that the mean temperature of humans is
98.6degrees°F.
​However, two researchers currently involved in the subject thought that the mean temperature of humans is less than
98.6degrees°F.
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
98.3degrees°F
and a sample standard deviation of
11degrees°F.
Use the​ P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than
98.6degrees°F
at the
alphaαequals=0.01
level of significance.
State the hypotheses.
 
Upper H 0H0​:
 
muμ
pp
sigmaσ
 
less than<
equals=
greater than>
not equals≠
98.6degrees°F
Upper H 1H1​:
 
pp
sigmaσ
muμ
 
greater than>
not equals≠
equals=
less than<
98.6degrees°F
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