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1) Determine whether the statements are true/ false. a. T      F       The probability of making a...

1) Determine whether the statements are true/ false.

a. T      F       The probability of making a type II error is related to the power of a statistical test

b. T     F         When I compare two estimates of the mean, the one with a smaller standard error has

                        less precision

c. T      F           If I do cluster sampling, the sample mean is always within the 95% confidence interval.

d. T      F            If I do simple random sampling, the true population mean is always within the 95%

                              confidence interval.

Math   Statistics-And-Probability   
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Answer #1

(a):

T    The probability of making a type II error is related to the power of a statistical test

EXPLANATION: Power of a hypothesis test = 1 - Probability of type II error

(b)

F.   When I compare two estimates of the mean, the one with a smaller standard error has less precision.

EXPLANATION: The smaller the standard error, the more representative the sample will be of the overall population.

(c)

F.   If I do cluster sampling, the sample mean is always within the 95% confidence interval.

(d)

F.   If I do simple random sampling, the true population mean is always within the 95% confidence interval.

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