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 56 healthy adults 1 to 4 times daily for 3 days, obtaining 250 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1°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 a=0.01 level of significance. State the hypotheses. Ho H₁: 98.6°F 98.6°F Find the test statistic. to = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)
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 56 healthy adults 1 to 4 times daily for 3 days, obtaining 250 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1°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 a=0.01 level of significance. State the hypotheses. Ho H₁: 98.6°F 98.6°F Find the test statistic. to = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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![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
56 healthy adults 1 to 4 times daily for 3 days, obtaining 250 measurements. The sample data resulted in a sample
mean of 98.3°F and a sample standard deviation of 1°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 a=0.01 level of significance.
State the hypotheses.
Но
H₁:
98.6°F
98.6°F
Find the test statistic.
to
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fb92610-a244-4738-bcc8-0a4d66da937a%2F9545b94e-94ee-4085-a97e-986edbcccfd6%2F3sykyf.jpeg&w=3840&q=75)
Transcribed Image Text: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
56 healthy adults 1 to 4 times daily for 3 days, obtaining 250 measurements. The sample data resulted in a sample
mean of 98.3°F and a sample standard deviation of 1°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 a=0.01 level of significance.
State the hypotheses.
Но
H₁:
98.6°F
98.6°F
Find the test statistic.
to
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
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