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1 Stats: Test Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Provide an appropriate response. ) Given H0: p 0% and Ha: p < 0%, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. A) two-tailed B) right-tailed C) left-tailed ) ) A researcher claims that % of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. A) left-tailed B) right-tailed C) two-tailed ) ) A car maker claims that its new sub-compact car gets better than 7 miles per gallon on the highway. Determine whether the hypothesis test for this is left-tailed, right-tailed, or two-tailed. A) left-tailed B) two-tailed C) right-tailed ) ) An elementary school claims that the standard deviation in reading scores of its fourth grade students is less than.. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. A) right-tailed B) left-tailed C) two-tailed ) ) The mean age of bus drivers in Chicago is greater than 7. years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? A) There is sufficient evidence to support the claim μ > 7.. B) There is sufficient evidence to reject the claim μ > 7.. C)There is not sufficient evidence to support the claim μ > 7.. D) There is not sufficient evidence to reject the claim μ > 7.. ) ) The mean IQ of statistics teachers is greater than 0. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? A) There is sufficient evidence to support the claim μ > 0. B) There is not sufficient evidence to support the claim μ > 0. C)There is not sufficient evidence to reject the claim μ > 0. D) There is sufficient evidence to reject the claim μ > 0. ) 7) The dean of a major university claims that the mean time for students to earn a Master's degree is at most. years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? A) There is sufficient evidence to support the claim μ.. B) There is sufficient evidence to reject the claim μ.. C)There is not sufficient evidence to support the claim μ.. D) There is not sufficient evidence to reject the claim μ.. 7) ) Given H0: μ, for which confidence interval should you reject H0? A) (0, ) B) (.,.) C)(, ) ) 9) Given H0: p = 0. and α = 0.0, which level of confidence should you use to test the claim? A) 0% B) % C)99% D) 9% 9)

2 0) Suppose you are using α = 0.0 to test the claim that μ using a P-value. You are given the sample statistics n =, x =., and s =.7. Find the P-value. A) 0.00 B) 0.0 C) 0.09 D) 0.0 ) Suppose you are using α = 0.0 to test the claim that μ using a P-value. You are given the sample statistics n = 0, x =., and s =.. Find the P-value. A) B) 0.9 C) 0.00 D) 0.0 ) Given H0: μ and P = Do you reject or fail to reject H0 at the 0.0 level of significance? A) not sufficient information to decide B) reject H0 C)fail to reject H0 0) ) ) ) Find the critical value for a right-tailed test with α = 0.0 and n = 7. A). B).7 C).9 D). ) ) Find the critical value for a left-tailed test with α = 0.0 and n =. A) -.7 B) -. C) -.9 D) -. ) ) Find the critical value for a two-tailed test with α = 0.0 and n = 00. A) ±.7 B) ±.9 C) ±. D) ±. ) ) You wish to test the claim that μ at a level of significance of α = 0.0 and are given sample statistics n =, x =., and s =.7. Compute the value of the standardized test statistic. Round your answer to two decimal places. A) -.97 B) -. C) -. D) -. 7) Suppose you want to test the claim that μ.. Given a sample size of n = 7 and a level of significance of α = 0.0, when should you reject H0? A) Reject H0 if the standardized test statistic is greater than.7 or less than -.7. B) Reject H0 if the standardized test statistic is greater than. or less than -.. C)Reject H0 if the standardized test statistic is greater than. or less than -. D) Reject H0 if the standardized test statistic is greater than.9 or less than -.9 ) 7) ) Suppose you want to test the claim that μ.. Given a sample size of n = and a level of significance of α = 0.0, when should you reject H0? A) Reject H0 if the standardized test statistic is less than -.7. B) Reject H0 if the standardized test statistic is less than -.. C)Reject H0 if the standardized test is less than -.9. D) Reject H0 if the standardized test statistic is less than -.. ) 9) Find the critical values for a sample with n = and α = 0.0 if H0: μ 0. A).977 B).7 C). D). 9) 0) Find the standardized test statistic t for a sample with n = 0, x = 9.7, s =., and α = 0.0 if H0: μ 0.. Round your answer to three decimal places. A) -.7 B) -. C) -.9 D) )

3 ) Determine the critical value, z0, to test the claim about the population proportion p = 0.0 given n = and p^ = 0.. Use α = 0.0. A) ±. B) ±.9 C) ±. D) ±.7 ) ) Find the critical X -value to test the claim σ. if n = and α = 0.0. A).7 B).9 C).0 D).07 ) ) Find the critical X -value to test the claim σ >.9 if n = and α = 0.0. A).09 B) 7.7 C).7 D) 0. ) ) Compute the standardized test statistic, X, to test the claim σ =. if n =, s =, and α = 0.0. A) 0.9 B) 9.09 C). D).9 ) ) Compute the standardized test statistic, X, to test the claim σ < 0. if n =, s =., and α = 0.0. A).7 B). C).7 D). ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) Test the claim that σ. if n =, s =., and α = 0.0. Assume that the population is normally distributed. ) 7) The data below are the final exam scores of 0 randomly selected statistics students and the number of hours they studied for the exam. Construct a scatter plot for the data. 7) Hours, x Scores, y ) The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Construct a scatter plot for the data. ) Number of absences, x Final grade, y ) Calculate the coefficient of correlation, r, letting Row represent the x-values and Row represent the y-values. Now calculate the coefficient of correlation, r, letting Row represent the x-values and Row represent the y-values. What effect does switching the explanatory and response variables have on the correlation coefficient? 9) Row Row

4 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question 0) Find the equation of the regression line for the given data. 0) x y A) y^ =.097x + 0. B) y^ =.097x - 0. C)y^ = 0.x D) y^ = -0.x ) The data below are the final exam scores of 0 randomly selected statistics students and the number of hours they studied for the exam. Find the equation of the regression line for the given data. ) Hours, x Scores, y A) y^ =.0x +. B) y^^ = -.x -.0 C)y^ =.x -.0 D) y^ = -.0x +. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) The frequency distribution shows the ages for a sample of 00 employees. Find the expected frequencies for each class to determine if the employee ages are normally distributed. ) Class boundaries Frequency, f ) A new coffeehouse wishes to see whether customers have any preference among different brands of coffee. A sample of 00 customers provided the data below. Test the claim that the distribution is uniform. Use α = 0.0. ) Brand Customers 0

5 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question ) A teacher figures that final grades in the statistics department are distributed as: A, %; B, %; C, 0%; D, %; F, %. At the end of a randomly selected semester, the following number of grades ) were recorded. Find the critical value χ 0 to determine if the grade distribution for the department is different than expected. Use α = 0.0. Grade A B C D F Number 0 A) 9. B).77 C) D). SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Perform the indicated goodness-of-fit test. ) You roll a die times with the following results. ) Number Frequency Use a significance level of 0.0 to test the claim that the die is fair. ) In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 0.0 significance level, test the claim that the responses occur with the same frequency. ) Response A B C D E Frequency 9

6 Answer Key Testname: STATS--REVIEW ) C ) C ) C ) B ) A ) B 7) D ) C 9) B 0) B ) A ) C ) A ) B ) D ) A 7) B ) D 9) B 0) C ) D ) A ) A ) B ) A ) critical value X 0 =.7; standardized test statistic X.7; fail to reject H0; There is not sufficient evidence to reject the claim. 7)

7 Answer Key Testname: STATS--REVIEW ) 9) The correlation coefficient remains unchanged. 0) B ) A ),,,, and 7, respectively. ) critical value χ 0 =.77; chi-square test statistic χ 7.; reject H0; There is sufficient evidence to reject the claim that the distribution is uniform. ) B ) H0: The die is fair (all numbers occur with equal frequency). H: The die is not fair. Test statistic: χ = 9.. Critical value: χ =.070. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the die is fair. ) H0: The proportions of responses are all equal. H: The proportions of responses are not all equal. Test statistic: χ =.7. Critical value: χ = 9.. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the responses occur with the same frequency. 7

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