Answer: Assume that the sample is taken from a large

Chapter 6, Problem 14E

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QUESTION:

Problem 14E

Assume that the sample is taken from a large population and the eorrection factor can be ignored.

SAT ScoresThe national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores were selected and the sample mean were calculated to be 1050, would you be surprised? Explain.

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QUESTION:

Problem 14E

Assume that the sample is taken from a large population and the eorrection factor can be ignored.

SAT ScoresThe national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores were selected and the sample mean were calculated to be 1050, would you be surprised? Explain.

ANSWER:

Solution 14E

Step1 of 2:

From the given problem we have:

Here we need to check whether the probability of sample mean is less than 0.05 or not.


Step2 of 2:

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