Question 1011453: Please help, I very much understand it is the holidays but I have to get this in and I cannot figure this out please
A data set includes 105 body temperatures of healthy adult humans for which (line over top of x)x=98.7 degrees F and s=0.64 degrees F.
Complete parts (a) and (b) below. SHOW WORK
a) What is the best point estimate of the mean body temperature of all healthy humans?
The best point estimate is______ degrees F(Type an interger or a decmial)
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 contains 98.6 degrees F? What does the sample sugesst about the use of 98.6 degrees F as the mean body temperature?
What is the confidence interval estimate of the population mean u?
_______ Do the confidence interval limits contain 98.6 degrees F? No or Yes
What does this suggest about the use of 98.6 degrees F as the mean body Temperature?
A) This suggests that the mean body temperature could very possibly be 98.6 degrees F.
B) This suggest that the mean body temperature could be lower then 98.6 degrees F
C)This suggest that the mean body temperature could be higher then 98.6 degrees F
PLEASE HELP ME!!! I AS SO LOST AND DO NOT KNOW WHERE TO BEGIN PLEASE.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! a. Point estimate is the mean of the data: 98.7 F.
b. 99%CI is 2.576*SE. The SE is s/sqrt(n)=0.64/sqrt(105)=0.0625
The half interval is 2.576*0.0625=0.1609 (no rounding until the end)
The 99% CI is (98.54,98.86)deg F are units.
The limits do not contain 98. They do contain 98.6 F.
Because 98.6 is in the interval, 98.6 F is a plausible temperature for the body. Anything in the interval is a plausible temperature. We do not and never will know the exact temperature, but we can be highly confident that the temperature will lie in the interval we constructed.
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The mean body temperature could be lower than 98.6 F., but not lower than 98.54 F.
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The mean body temperature could be higher than 98.6,F. as high as 98.88 F.
Confidence intervals are not probability. A CI is a way to define a range in which the unknown parameter is likely to be found. It either is in the interval or not, and that is not a probability question. Stated another way, if we took 100 different samples of the same size and made 100 CI, 99 of them would contain the parameter. We just wouldn't know which 99. A CI is the z, t, or other value multiplied by the standard error of the mean. Wider intervals have high confidence, which makes sense. A 100% CI would contain everything,
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