Suppose You Take a Sample of Size 4 from a Population

question 35

Multiple Choice

Suppose you take a sample of size 4 from a population with a mean of 70 and a standard deviation of 10.Based on such a sample,what are the mean and standard deviation of the sampling distribution of $\bar { x }$
?

• A) \(\mu _ { \bar { x } }\) = 70, \(\sigma _ { \bar { x } }\) = 5
• B) \(\mu _ { \bar { x } }\) = 70, \(\mu _ { \bar { x } }\) = 2.5
• C) \(\mu _ { \bar { x } }\) = 17.5, \(\mu _ { \bar { x } }\) = 5
• D) \(\mu _ { \bar { x } }\) = 17.5, \(\mu _ { \bar { x } }\) = 10
• E)Cannot be determined unless the sample size is at least 30.

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