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 α=0.01 level of significance.
State the hypotheses.
Ho : µ = 98.6
Ha : µ < 98.6
Level of Significance , α =
0.01
sample std dev , s = 1
Sample Size , n = 250
Sample Mean, x̅ = 98.3
degree of freedom= DF=n-1= 249
Standard Error , SE = s/√n =
0.0632
t-test statistic= (x̅ - µ )/SE =
-4.7434
p-Value = 0.0000 (using student t
table)
Conclusion: p-value<α, Reject null hypothesis
there is enough evidence to support the claim of
researcher
It has long been stated that the mean temperature of humans is 98.6°F
10.3.18-1 B EWUESTO 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 tomperature of humans is less than 98.6°F They measured the temperatures of 67 healthy adults 1 to 4 times daily for 3 days, obtaining 300 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test...
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 67 healthy adults 1 to 4 times daily for 3 days. obtaining 300 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test to do whether...
10.3.18-T Question Help 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 67 healthy adults 1 to 4 times daily for 3 days, obtaining 300 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 0.9°F. Use the P-value approach to conduct a hypothesis test...
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 degrees°F. Use the P-value approach to conduct a hypothesis...
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 1.1 degrees°F. Use the P-value approach to conduct a hypothesis test to...
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 degreesF. They measured the temperatures of 148 healthy adults 1 to 4 times daily for 3 days, obtaining 700 measurements. The sample data resulted in a sample mean of 97.7 degreesF and a sample standard deviation of 0.7 degreesF. (a) Using the classical approach, judge whether...
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 42 healthy adults 1 to 4 times daily for 3 days, obtaining 196 measurements. The sample data from those 196 measurements resulted in a sample mean of 98.4°F and a sample standard deviation of 0.9°F. Use the P-value approach to conduct a hypothesis...
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 61 healthy adults 1 to 4 times daily for 3days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.4degrees°F and a sample standard deviation of 1 degrees°F. Use the P-value approach to conduct a hypothesis test to judge whether...
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 56 healthy adults 1 to 4 times daily for 3 days, obtaining 250 measurements. The sample data resulted in a sample mean of 98.4degreesF and a sample standard deviation of 1degreesF. Use the P-value approach to conduct a hypothesis test to judge whether...
10.3.18-T Question Help My Courses Course Home ? Help 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 50 healthy adults 1 to 4 times daily for 3 days, obtaining 225 measurements. The sample data resulted in a sample mean of 98.4°F and a sample standard deviation of 0.9°F. Use the P-value...