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Statistics – Question Set #4 *(from Chapter6)*

As the sample size of a random sample increases, the mean of the sample mean _____.

3.

4.

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2.

5.

remains the same increases decreases becomes less accurate cannot be determined from the above information

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**5.**

The mean and the standard deviation of a normally distributed population is 30.5 and 3.5, respectively. Find the standard deviation of the sample mean for a sample size of 10.

1.

2.

3.

4.

5.

3.5

0.35

35

3.05

1.11

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**5.**

A school district is assumed to have 8,000 5th graders. The average weight of a 5th grader is 75 pounds, with a standard deviation of 20 pounds. If a random sample of 50 students is drawn, find the probability that the average weight of a student from the drawn sample will be less than

70 pounds.

1.

2.

3.

4.

5.

1.07

0.00

1.00

0.038

0.962

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