Multiple Choice Quiz
Multiple Choice Quiz
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 1 In a hypothesis test comparing two population means, the "=" sign always appears in the: A) null hypothesis. B) alternate hypothesis. C) upper tail of the test statistic. D) lower tail of the test statistic. 2 In a hypothesis test comparing two population means, we use the z distribution when: A) the two population standard deviations are equal. B) both populations have at least 4000 observations. C) both population standard deviations are known. D) nπ and n(1-π) are both greater than 5. 3 For the hypothesis, H0: µ1 ≤ µ2, a random sample of 10 observations is selected from the first normal population and 8 from the second normal population. What is the number of degrees of freedom? A) 18 B) 17 C) 16 D) 9 4 For the hypothesis, H0: µ1 ≤ µ2, (.01 significance level), a random sample of 10 observations is selected from the first normal population and 8 from the second normal population. Population standard deviations are unknown. What is (are) the critical value(s)? A) 2.583 B) -2.921, 2.921 C) -2.583, 2.583 D) -2.583 5 When testing a hypothesis about the means for two independent populations (population standard deviations unknown), what should be true? A) nπ and n(1-π) are both greater than 5. B) Both populations are normally distributed. C) The samples sizes selected from each population must be equal. D) The observations are matched or paired. 6 To conduct a test of means for two independent populations, which of the following is required? A) A z-statistic is used to test the hypothesis. B) The population standard deviations must be equal. C) nπ and n (1 - π) must be 5 or greater. D) A one-tailed hypothesis test. 7 Another way to state the null hypothesis: H0: µ1 = µ2, is: A) H0: µ1 ≤ µ2 B) H0: µ1 - µ2 = 0 C) H0: µ1 ≥ µ2 D) H0: µ1 - µ2 ≠ 0 8 To conduct a test of hypothesis for dependent populations, we assume that: A) the distribution of the difference between the sampled paired observations follows the normal distribution. B) both samples are at least 30. C) the samples are unrelated. D) nπ and n(1-π) are both greater than 5. 9 When conducting a test of hypothesis for dependent samples: A) the sample size should be at least 30 pairs of observations. B) the significance level is more than .05. C) the p-value is more than .10. D) differences between each matched pair of observations are computed. 10 Which of the following is necessary to determine a 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) Both A and B 11 A z-test statistic of 2.06 was computed to test: H0: µ 1 = µ 2, using a significance level of 0.05. What is the p-value? A) 2.0600 B) 0.0394 C) 0.0197 D) 0.4803 12 A z-statistic of 1.55 was computed to test H0: µ 1 ≤ µ 2, using a significance level is 0.05. What is the p-value? A) 0.0500 B) 1.5500 C) 0.4394 D) 0.0606 13 A company is interested in knowing the effects of a computer-training program. The company randomly selected 25 employees and measured their computer skills before and after the training program. To test the hypothesis, H0: µ 1 = µ 2, the populations are: A) independent. B) dependent. C) unrelated. D) equal. 14 A company is interested in knowing the effects of a computer-training program. The company randomly selected 25 employees and measured their computer skills before and after the training program. To test the hypothesis, H0: µ 1 = µ 2, the test statistic is a: A) z-statistic. B) t-statistic with 49 degrees of freedom. C) t-statistic with 23 degrees of freedom. D) chi-square statistic with 23 degrees of freedom.