Question 275991: You have measured the temperature of a large number of patients at a local clinic.
You find the 95% confidence interval to be 96.7 and 99.1.
In another sample of a large number of patients a mistake was made in an entry.
a. If instead of an entry of 98.6 an error was made and entered as 9.86, what is the effect on the confidence interval? Explain.
b. If instead of an entry of 98.6 an error was made and entered as 986, what is the effect on the confidence interval? Explain.
c. What tips you to a confidence interval that needs investigation for error?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You have measured the temperature of a large number of patients at a local clinic.
You find the 95% confidence interval to be 96.7 and 99.1.
In another sample of a large number of patients a mistake was made in an entry.
a. If instead of an entry of 98.6 an error was made and entered as 9.86, what is the effect on the confidence interval? Explain.
The sample mean (x-bar) will be lower so the confidence
interval will slide to the left.
b. If instead of an entry of 98.6 an error was made and entered as 986, what is the effect on the confidence interval? Explain.
The sample mean (x-bar) will be higher so the CI will slide to the right.
c. What tips you to a confidence interval that needs investigation for error?
The range of the CI seems to be out of keeping with the range of the data.
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Cheers,
Stan H.
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