Author Question: Explain why Chebyshev's theorem cannot be used for one standard deviation from the ... (Read 59 times)

viki · **on:** Jun 24, 2018

Explain why Chebyshev's theorem cannot be used for one standard deviation from the mean.

Question 2

A random sample of 81 credit sales in a department store showed an average sale of 68.00 . From past data, it is known that the standard deviation of the population is 27.00.
a. Determine the standard error of the mean.
b. With a .95 probability, what can be said about the size of the margin of error?
c. What is the 95 confidence interval of the population mean?

JaynaD87 · **Reply #1 on:** Jun 24, 2018

Answer to Question 1

Chebyshev's Theorem requires an input value of at least 2, since an input of 1 would cause a divide by 0 error.

Answer to Question 2

a. 3.0
b. There is a .95 probability that the sample mean will provide a margin of error of 5.88 or less.
c. 62.12 to 73.88