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REVIEW 12 13 - :REVIEW , 1 , ,

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STATISTICAL INFERENCE: REVIEW  MULTIPLE CHOICE QUESTIONS In the following multiple-choice questions, please circle the correct answer. 1. In testing the difference between two population means, for which the population variances are  unknown and assumed to be equal, two independent samples are drawn from the populations.  Which of the following tests is appropriate? a. z -test b. Equal-variances  t -test c. F -test d. Matched pairs  t -test ANSWER: b 2. When the necessary conditions are met, a two-tail test is being conducted to test the difference  between two population proportions.  If the value of the test statistic  is 1.86, then the  p -value is: 3. A random sample of 20 observations taken from a normally distributed population revealed a  sample mean of 65 and a sample variance of 16. The lower limit of a 90% confidence interval for  the population mean would equal:
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Statistical Inference: Review 4. In testing for the equality of two population variances, when the populations are normally  distributed, the 5% level of significance has been used.  To determine the rejection region, it will  be necessary to refer to the  F  table corresponding to an upper-tail area of: 5. When the necessary conditions are met, a two-tail test is being conducted to test the difference  between two population proportions.  The two sample proportions are  1 ˆ 0.20 p =  and  2 ˆ 0.15 p = and the standard error of the sampling distribution of  2 1 ˆ ˆ p p - is 0.25.  The calculated value of  the test statistic will be: a. z = 2.0 b. z = 1.15 c. t = 2.0 d. t = 1.2 ANSWER: a 6. A random sample of size 15 taken from a normally distributed population resulted in a sample  variance of 25.  The upper limit of a 99% confidence interval for the population variance would  be: 7. In testing the null hypothesis  0 : 2 1 0 = - p p H , if  0 H  is true, the test could lead to:
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