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The critical value is:

A) 2.17.

B) -2.38.

C) 2.47.

D) -2.33.

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The correct answer is D

This is a one-tailed test with a significance level of 0.01. The critical value for a one-tailed test at a 1% level of significance is -2.33.

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You should:

A) accept the null hypothesis.

B) reject the null hypothesis.

C) reject the alternative hypothesis.

D) Cannot be determined with the information given.

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The correct answer is B

The calculated test statistic of -4.24 falls to the left of the z-statistic of -2.33, and is in the rejection region. Thus, the null hypothesis is rejected and the conclusion is that the population mean is less than 133.

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4、Susan Bellows is comparing the return on equity for two industries. She is convinced that the return on equity for the discount retail industry (DR) is greater than that of the luxury retail (LR) industry. What are the hypotheses for a test of her comparison of return on equity?

A) H0: μDR = μLR versus Ha: μDR ≠ μLR.

B) H0: μDR ≠ μLR versus Ha: μDR = μLR.

C) H0: μDR = μLR versus Ha: μDR < μLR.

D) H0: μDR ≤ μLR versus Ha: μDR > μLR.

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The correct answer is D

The alternative hypothesis is determined by the theory or the belief. The researcher specifies the null as the hypothesis that she wishes to reject (in favor of the alternative). Note that this is a one-sided alternative because of the “greater than” belief.

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AIM 12: Distinguish between one-sided and two-sided hypotheses.

1、Using the following hypothesis and data:

?            H0: a = b and H1: a ≠ b

?            The critical Z-statistic is 2.58

?            The calculated Z-statistic is 4.1

An analyst should:

A) Reject the null hypothesis and conclude that a = b.

B) Reject the null hypothesis and conclude that a is significantly different than b.

C) Reject the alternative hypothesis and conclude that a = b.

D) Fail to reject the null hypothesis and conclude that we cannot say that a is significantly different than b.

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The correct answer is B

When the calculated Z > the critical Z (4.1 > 2.58), the null hypothesis should be rejected and the conclusion is made that a is not equal to b.

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2、Which of the following statements is FALSE?

A) For a one-tailed test at the 5% level of significance, the critical z-value is 1.645.

B) For a two-tailed test at the 1% level of significance, the critical z-values are +/?2.33.

C) The standard error of the sample mean may be expressed as s / √n.

D) The calculated z-statistic for a sample mean is (x ? μ) / (σ / √n).

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The correct answer is B

For a two-tailed test at a 1% level of significance, the critical values are +/?2.58.

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