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Read the z statistic from the normal distribution table and choose the correct answer. For a two-tailed test using α = .0150, z =


A) 1.96.
B) 2.17.
C) -2.17.
D) -125.

Correct Answer

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A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is


A) H0: μ < 85 Ha: μ A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is A) H<sub>0</sub>: μ < 85 H<sub>a</sub>: μ 85. B) H<sub>0</sub>: μ 85 H<sub>a</sub>: μ > 85. C) H<sub>0</sub>: μ 85 H<sub>a</sub>: μ < 85. D) H<sub>0</sub>: μ > 85 H<sub>a</sub>: μ 85. 85.
B) H0: μ A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is A) H<sub>0</sub>: μ < 85 H<sub>a</sub>: μ 85. B) H<sub>0</sub>: μ 85 H<sub>a</sub>: μ > 85. C) H<sub>0</sub>: μ 85 H<sub>a</sub>: μ < 85. D) H<sub>0</sub>: μ > 85 H<sub>a</sub>: μ 85. 85 Ha: μ > 85.
C) H0: μ A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is A) H<sub>0</sub>: μ < 85 H<sub>a</sub>: μ 85. B) H<sub>0</sub>: μ 85 H<sub>a</sub>: μ > 85. C) H<sub>0</sub>: μ 85 H<sub>a</sub>: μ < 85. D) H<sub>0</sub>: μ > 85 H<sub>a</sub>: μ 85. 85 Ha: μ < 85.
D) H0: μ > 85 Ha: μ A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is A) H<sub>0</sub>: μ < 85 H<sub>a</sub>: μ 85. B) H<sub>0</sub>: μ 85 H<sub>a</sub>: μ > 85. C) H<sub>0</sub>: μ 85 H<sub>a</sub>: μ < 85. D) H<sub>0</sub>: μ > 85 H<sub>a</sub>: μ 85. 85.

Correct Answer

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In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true,


A) a Type I error has been committed.
B) a Type II error has been committed.
C) either a Type I or a Type II error has been committed.
D) the correct decision has been made.

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Which of the following does not need to be known in order to compute the p-value?


A) Knowledge of whether the test is one-tailed or two-tailed
B) The value of the test statistic
C) The level of significance
D) The probability distribution of the test statistic

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A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is


A) H0: μ < 12 Ha: μ ≥ 12.
B) H0: μ A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is A) H<sub>0</sub>: μ < 12 H<sub>a</sub>: μ ≥ 12. B) H<sub>0</sub>: μ 12 H<sub>a</sub>: μ > 12. C) H<sub>0</sub>: μ ≠ 12 H<sub>a</sub>: μ = 12. D) H<sub>0</sub>: μ = 12 H<sub>a</sub>: μ ≠ 12. 12 Ha: μ > 12.
C) H0: μ ≠ 12 Ha: μ = 12.
D) H0: μ = 12 Ha: μ ≠ 12.

Correct Answer

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An assumption made about the value of a population parameter is called a(n)


A) hypothesis.
B) conclusion.
C) error.
D) probability.

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A sample of 1400 items had 280 defective items. For the following hypothesis test, ​ H0: p ≤ .20 Ha: p > .20 ​ The test statistic is


A) .28.
B) .14.
C) .20.
D) zero.

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Given the following information, ​ N = 36, Given the following information, ​ N = 36, = 60, s =12 H<sub>0</sub>: μ ≥ 63 H<sub>a</sub>: μ < 63 ​ The test statistic is A) .67. B) -67. C) 1.5. D) -1.5. = 60, s =12 H0: μ ≥ 63 Ha: μ < 63 ​ The test statistic is


A) .67.
B) -67.
C) 1.5.
D) -1.5.

Correct Answer

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​In hypothesis testing, the critical value is


A) ​a number that establishes the boundary of the rejection region.
B) ​the probability of a Type I error.
C) ​the probability of a Type II error.
D) ​the same as the p-value.

Correct Answer

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For a two-tailed hypothesis test with a sample size of 32 and a .10 level of significance, the critical values of the test statistic t are


A) -1.699 and 1.699.
B) -1.311 and 1.311.
C) -1.310 and 1.310 .
D) -1.697 and 1.697.

Correct Answer

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A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken to test the weatherman's statement. The correct set of hypotheses is


A) H0: μ A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken to test the weatherman's statement. The correct set of hypotheses is A) H<sub>0</sub>: μ 80 H<sub>a</sub>: μ < 80. B) H<sub>0</sub>: μ 80 H<sub>a</sub>: μ > 80. C) H<sub>0</sub>: μ ≠ 80 H<sub>a</sub>: μ = 80. D) H<sub>0</sub>: μ < 80 H<sub>a</sub>: μ > 80. 80 Ha: μ < 80.
B) H0: μ A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken to test the weatherman's statement. The correct set of hypotheses is A) H<sub>0</sub>: μ 80 H<sub>a</sub>: μ < 80. B) H<sub>0</sub>: μ 80 H<sub>a</sub>: μ > 80. C) H<sub>0</sub>: μ ≠ 80 H<sub>a</sub>: μ = 80. D) H<sub>0</sub>: μ < 80 H<sub>a</sub>: μ > 80. 80 Ha: μ > 80.
C) H0: μ ≠ 80 Ha: μ = 80.
D) H0: μ < 80 Ha: μ > 80.

Correct Answer

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​When the null hypothesis is not rejected, it is​


A) possible a Type I error has occurred.
B) possible a Type II error has occurred.
C) not possible a Type II error has occurred.
D) ​possible either a Type I or a Type II error has occurred.

Correct Answer

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Two approaches to drawing a conclusion in a hypothesis test are ​


A) ​p-value and critical value.
B) ​one-tailed and two-tailed.
C) ​Type I and Type II.
D) ​null and alternative.

Correct Answer

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A random sample of 25 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal. The p-value is between


A) .005 to .01.
B) .01 to .025.
C) .025 to .05.
D) .05 to .10.

Correct Answer

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For a lower tail test, the test statistic z is determined to be zero. The p-value for this test is


A) zero.
B) -.5.
C) +.5.
D) 1.

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In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.032. The sample size is 35. The p-value for this test is


A) -.05.
B) +.05.
C) -.10.
D) +.10.

Correct Answer

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For a one-tailed hypothesis test (upper tail) , the p-value is computed to be .034. If the test is being conducted at the 1% level of significance, the null hypothesis


A) could be rejected or not rejected depending on the sample size.
B) could be rejected or not rejected depending on the sample mean.
C) is not rejected.
D) is rejected.

Correct Answer

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In hypothesis testing, the tentative assumption about the population parameter is


A) the alternative hypothesis.
B) the null hypothesis.
C) either the null or the alternative.
D) neither the null nor the alternative.

Correct Answer

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The p-value


A) can be any negative value.
B) can be any positive value.
C) must be a number between -1 and 0.
D) must be a number between zero and one.

Correct Answer

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For a one-tailed (upper tail) hypothesis test with a sample size of 26 and a .01 level of significance, the critical value of the test statistic t is


A) 2.797.
B) 2.787.
C) 2.485.
D) 2.479.

Correct Answer

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