By Duane C. Hinders — McGrawHill Professional
Updated on Apr 25, 2014
Review the following concepts if necessary:
 Significance Testing for AP Statistics
 Inference for a Single Population Mean for AP Statistics
 Inference for the Difference Between Two Population Means for AP Statistics
 Inference for a Single Population Proportion for AP Statistics
 Inference for the Difference Between Two Population Proportions for AP Statistics
Problems
Assuming that the speeds are approximately normally distributed, how many degrees of freedom will there be in the appropriate ttest used to determine which type of tennis ball travels faster?
 A school district claims that the average teacher in the district earns $48,000 per year. The teachers' organization argues that the average salary is less. A random sample of 25 teachers yields a mean salary of $47,500 with a sample standard deviation of $2000. Assuming that the distribution of all teachers' salaries is approximately normally distributed, what is the value of the ttest statistic and the Pvalue for a test of the hypothesis H_{0}: μ = 48,000 against H_{A}: μ < 48,000?
 t = 1.25, 0.10 < P < 0.15
 t = –1.25, 0.20 < P < 0.30
 t = 1.25, 0.20 < P < 0.30
 t = –1.25, 0.10 < P < 0.15
 t = –1.25, P > 0.25
 Which of the following conditions is (are) necessary to justify the use of zprocedures in a significance test about a population proportion?
 The samples must be drawn from a normal population.
 The population must be much larger (10–20 times) than the sample.
 np_{0} ≥ 5 and n(1 – p_{0}) ≥ 5.
 I only
 I and II only
 II and III only
 III only
 I, II, and III
 A minister claims that more than 70% of the adult population attends a religious service at least once a month. Let p = the proportion of adults who attend church. The null and alternative hypotheses you would use to test this claim would be:
 H_{0}: p ≤ 0.7, H_{A}: p > 0.7
 H_{0}: μ ≤ 0.7, H_{A}: μ > 0.7
 H_{0}: p = 0.7, H_{A}: p ≠ 0.7
 H_{0}: p ≤ 0.7, H_{A}: p < 0.7
 H_{0}: p ≥ 0.7, H_{A}: p < 0.7
 A ttest for the difference between two populations means is to be conducted. The samples, of sizes 12 and 15, are considered to be random samples from independent, approximately normally distributed, populations. Which of the following statements is (are) true?
 If we can assume the population variances are equal, the number of degrees of freedom is 25.
 An appropriate conservative estimate of the number of degrees of freedom is 11.
 The Pvalue for the test statistic in this situation will be larger for 11 degrees of freedom than for 25 degrees of freedom.
 I only
 II only
 III only
 I and II only
 I, II, and III
 When is it OK to use a confidence interval instead of computing a Pvalue in a hypothesis test?
 In any significance test
 In any hypothesis test with a twosided alternative hypothesis
 Only when the hypothesized value of the parameter is not in the confidence interval
 Only when you are conducting a hypothesis test with a onesided alternative
 Only when doing a test for a single population mean or a single population proportion
 Which of the following is not a required step for a significance test?
 State null and alternative hypotheses in the context of the problem.
 Identify the test to be used and justify the conditions for using it.
 State the significance level for which you will decide to reject the null hypothesis.
 Compute the value of the test statistic and the Pvalue.
 State a correct conclusion in the context of the problem.
 Which of the following best describes what we mean when say that tprocedures are robust?
 The tprocedures work well with almost any distribution.
 The numerical value of t is not affected by outliers.
 The tprocedures will still work reasonably well even if the assumption of normality is violated.
 tprocedures can be used as long as the sample size is at least 40.
 tprocedures are as accurate as zprocedures.
 For a hypothesis test of H_{0} : μ = μ_{0} against the alternative H_{A} : μ < μ_{0}, the ztest statistic is found to be 2.00. This finding is
 significant at the 0.05 level but not at the 0.0l level.
 significant at the 0.01 level but not at the 0.05 level.
 significant at both the 0.01 and the 0.05 levels.
 significant at neither the 0.01 nor the 0.05 levels.
 not large enough to be considered significant.
 Two types of tennis balls were tested to determine which one goes faster on a serve. Eight different players served one of each type of ball and the results were recorded:
 6
 7
 16
 15
 14
 Two statistics teachers want to compare their teaching methods. They decide to give the same final exam and use the scores on the exam as a basis for comparison. They decide that the value of interest to them will be the proportion of students in each class who score above 80% on the final. One class has 32 students and one has 27 students. Which of the following would be the most appropriate test for this situation?
 Two proportion ztest
 Twosample ttest
 Chisquare goodnessoffit test
 Onesample ztest
 Chisquare test for independence

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From 5 Steps to a 5 AP Statistics. Copyright © 2010 by The McGrawHill Companies. All Rights Reserved.
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