A data set includes 106 body temperature of healthy adult humans for which /x = 98.7°F and s = 0.66°F Complete parts (a) and (b) below.
a.What is the best point estimate of the mean of body temperature of all healthy humans?
The best point estimate is ______ °F?
(Type an integer or a decimal)
b.Using the sample statistics, construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. Do the confidence interval limits contain 98.6°F as the mean body temperature?
What is the confidence interval estimate of the population mean µ?
_____°F < µ < _____ °F
(Round to three decimal places as needed)
Do the confidence interval limits contain 98.6°F?
o Yes
o No
What does this suggest about the use of 98.6°F as the mean body temperature?
o A. This suggest that the mean temperature could be higher than 98.6°F
o B. This suggest that the mean temperature could be lower than 98.6°F
o C. This suggest that the mean temperature could very possibly be 98.6°F
Please show your work step by step so that I can see how it was done for other problems.
Thank you.
a.What is the best point estimate of the mean of body temperature of all healthy humans?
The best point estimate is ______ °F?
(Type an integer or a decimal)
b.Using the sample statistics, construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. Do the confidence interval limits contain 98.6°F as the mean body temperature?
What is the confidence interval estimate of the population mean µ?
_____°F < µ < _____ °F
(Round to three decimal places as needed)
Do the confidence interval limits contain 98.6°F?
o Yes
o No
What does this suggest about the use of 98.6°F as the mean body temperature?
o A. This suggest that the mean temperature could be higher than 98.6°F
o B. This suggest that the mean temperature could be lower than 98.6°F
o C. This suggest that the mean temperature could very possibly be 98.6°F
Please show your work step by step so that I can see how it was done for other problems.
Thank you.
-
a) The best point estimate of population mean is the sample mean = 98.7
b) Confidence interval for population mean (Mu) is
sample mean +/- confidence coefficient*standard error of the mean
98.7 +/- 2.575*0.66/sqrt 106
98.7 +/- 0.165
lower boundary is 98.7 - 0.165 = 98.535
upper boundary is 98.7 + 0.165 = 98.865
i) 98.535 < Mu < 98.865
ii) Yes
iii) A
[otherwise C)
b) Confidence interval for population mean (Mu) is
sample mean +/- confidence coefficient*standard error of the mean
98.7 +/- 2.575*0.66/sqrt 106
98.7 +/- 0.165
lower boundary is 98.7 - 0.165 = 98.535
upper boundary is 98.7 + 0.165 = 98.865
i) 98.535 < Mu < 98.865
ii) Yes
iii) A
[otherwise C)