It has long been stated that the mean temperature of humans is 98.6 degrees°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6 degrees°F. 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 98.3 degrees°F and a sample standard deviation of 11°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the alphaαequals=0.01 level of significance. State the hypotheses. Upper H0: ▼ sigmaσ pp muμ ▼ greater than> not equals≠ less than< equals= 98.6degrees°F Upper H1: ▼ pp sigmaσ muμ ▼ equals= not equals≠ less than< greater than> 98.6degrees°F Find the test statistic. Find the test statistic. t0equals=nothing (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What can be concluded? A. Do not reject Upper H0 since the P-value is not less than the significance level. B. Reject Upper H 0H0 since the P-value is not less than the significance level. C. Reject Upper H0 since the P-value is less than the significance level. D. Do not reject Upper H0 since the P-value is less than the significance level.
It has long been stated that the mean temperature of humans is 98.6 degrees°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6 degrees°F. 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 98.3 degrees°F and a sample standard deviation of 11°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the alphaαequals=0.01 level of significance. State the hypotheses. Upper H0: ▼ sigmaσ pp muμ ▼ greater than> not equals≠ less than< equals= 98.6degrees°F Upper H1: ▼ pp sigmaσ muμ ▼ equals= not equals≠ less than< greater than> 98.6degrees°F Find the test statistic. Find the test statistic. t0equals=nothing (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What can be concluded? A. Do not reject Upper H0 since the P-value is not less than the significance level. B. Reject Upper H 0H0 since the P-value is not less than the significance level. C. Reject Upper H0 since the P-value is less than the significance level. D. Do not reject Upper H0 since the P-value is less than the significance level.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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It has long been stated that the mean temperature of humans is
98.6 degrees°F.
However, two researchers currently involved in the subject thought that the mean temperature of humans is less than
98.6 degrees°F.
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
98.3 degrees°F
and a sample standard deviation of
11°F.
Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than
98.6°F
at the
alphaαequals=0.01
level of significance.State the hypotheses.
Upper H0:
▼
sigmaσ
pp
muμ
▼
greater than>
not equals≠
less than<
equals= 98.6degrees°F
Upper H1:
▼
pp
sigmaσ
muμ
▼
equals=
not equals≠
less than<
greater than>
Find the test statistic.
Find the test statistic.
t0equals=nothing
(Round to two decimal places as needed.)
The P-value is
nothing.
(Round to three decimal places as needed.)
What can be concluded?
Do not reject
Upper H0
since the P-value is not less than the significance level.Reject
Upper H 0H0
since the P-value is not less than the significance level.Reject
Upper H0
since the P-value is less than the significance level.Do not reject
Upper H0
since the P-value is less than the significance level.Expert Solution
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