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The correct answer is C

z = (1.5% - 0.0%) / [(3.0% / √60)] = 3.87

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8、The mean equity risk premium over a 40-year period is equal to 8.0 percent. The standard deviation of the sample is 12 percent. The standard error of the sample mean is closest to:

A) 0.30%.

B) 1.90%.

C) 1.26%.

D) 8.00%.

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The correct answer is B

Note the size of the sample here is the number of years.

σX = 12 / √40 = 1.90%

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The correct answer is D

Decision rule: reject H0 if zcomputed > zcritical. Therefore, reject the null hypothesis because the computed test statistic of 2.60 (see the answer to Part 1) exceeds the critical z-value of 2.33.

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5、If the sample size is greater than 30 and population variance is unknown, the appropriate test for the sample mean is the:

A) t-test.

B) z-test.

C) t-test or z-test.

D) p-test or F-test.

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The correct answer is C

The central limit theorem makes it appropriate to use the z-test with an unknown variance if the sample size is large enough (n ≥ 30), regardless of the distribution of the population. Since the t- and the z-distributions converge as sample size increases, either test is appropriate, although the t-test is a more conservative estimate.

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6、A return series with 250 observations has a sample mean of 10 percent and a standard deviation of 15 percent. The standard error of the sample mean is closest to:

A) 0.06.

B) 0.95.

C) 15.80.

D) 3.87.

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The correct answer is

The population variance is known and the sample size is large. The test statistic is:

1.gif

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4、At a 1 percent level of significance, the correct decision is to:

A) accept the null hypothesis.

B) fail to reject the null hypothesis.

C) neither reject nor fail to reject the null hypothesis.

D) reject the null hypothesis.

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3、Margo Hinsdale is testing the null hypothesis that the population mean is less than or equal to 45. A random sample of 81 observations selected from this population produced a mean of 46.3. The population has a standard deviation of 4.5.

The value of the appropriate test statistic for the test of the population mean is:

A) z = –2.75.

B) t = 3.84.

C) t = 4.60.

D) z = 2.60.

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