MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Math Review Summer 0 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classif the hpothesis test as two-tailed, left-tailed, or right-tailed. ) In the past, the mean running time for a certain tpe of flashlight batter has been.0 hours. The manufacturer has introduced a change in the production method and wants to perform a hpothesis test to determine whether the mean running time has changed as a result. A) Two-tailed B) Left-tailed C) Right-tailed ) The maimum acceptable level of a certain toic chemical in vegetables has been set at 0. parts per million (ppm). A consumer health group measured the level of the chemical in a random sample of tomatoes obtained from one producer to determine whether the mean level of the chemical in these tomatoes eceeds the recommended limit. A) Two-tailed B) Left-tailed C) Right-tailed ) ) A hpothesis test is to be performed. Determine the null and alternative hpotheses. ) In the past, the mean running time for a certain tpe of flashlight batter has been. hours. The manufacturer has introduced a change in the production method and wants to perform a hpothesis test to determine whether the mean running time has changed as a result. A) H : µ =. hours B) H : µ =. hours 0 0 : µ. hours C) H 0 : µ. hours : µ =. hours : µ >. hours D) H 0 : µ. hours : µ =. hours ) A hpothesis test is to be performed for a population mean with null hpothesis H 0 : µ = µ 0. The test statistic used will - µ 0 be z =. Find the required critical value(s). / n ) A two-tailed test with = 0.0. ) A) ±. B) ±. C) ±. D) ±. ) A right-tailed test with = 0.0. ) A). B) -.,. C). D) -. ) A left-tailed test with = 0.0. ) A).0 B) -. C). D) -.0 A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to perform the required hpothesis test about the mean, µ, of the population from which the sample was drawn. ) = 0, n = 0, =., H0: µ = ; Ha: µ, = 0.0 ) A) Reject H0 if z < -. or z >.; z = -.; therefore reject H0 and conclude that µ. B) Reject H0 if -. < z <.; z = -.; therefore do not reject H0. The data do not provide sufficient evidence to support Ha: µ. C) Reject H0 if z < -. or z >.; z = -.; therefore reject H0 and conclude that µ. D) Reject H0 if -. < z <.; z = -.; therefore do not reject H0. The data do not provide sufficient evidence to support Ha: µ.

2 ) =, n =, =., H0: µ = ; Ha: µ <, = 0.0 ) A) Reject H0 if z < -.; z = -.; therefore reject H0 and conclude that µ <. B) Reject H0 if z < -.; z = -0.; therefore do not reject H0. The data do not provide sufficient evidence to support Ha: µ <. C) Reject H0 if z > -.; z = -.; therefore do not reject H0 The data do not provide sufficient evidence to support Ha: µ <. D) Reject H0 if z < -.; z = -.; therefore reject H0 and conclude that µ <. A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hpothesis test about the mean, µ, of the population from which the sample was drawn. Use the critical-value approach. ) =, s =., n =, H 0 : µ =., : µ., = 0.0. ) A) Test statistic: t =.. Critical values: t = ±.. Do not reject H0: µ =.. There is not sufficient evidence to support the claim that the mean is different from.. B) Test statistic: t =.. Critical values: t = ±.. Reject H0: µ =.. There is sufficient evidence to support the claim that the mean is different from.. C) Test statistic: t =.. Critical values: t = ±.. Do not reject H0: µ =.. There is not sufficient evidence to support the claim that the mean is different from.. D) Test statistic: t =.. Critical values: t = ±.. Reject H0: µ =.. There is sufficient evidence to support the claim that the mean is different from.. 0) =., s = 0., n =, H 0 : µ =., : µ >., = 0.0 0) A) Test statistic: t =.. Critical value: t =.. Do not reject H0. There is not sufficient evidence to support the claim that the mean is greater than.. B) Test statistic: t =.. Critical value: t =.. Reject H0. There is sufficient evidence to support the claim that the mean is greater than.. C) Test statistic: t =.. Critical value: t =.. Do not reject H0. There is not sufficient evidence to support the claim that the mean is greater than.. D) Test statistic: t =.. Critical value: t =.. Do not reject H0. There is not sufficient evidence to support the claim that the mean is greater than.. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. ) Fift-five percent of registered voters in a congressional district are registered Democrats. The Republican candidate takes a poll to assess his chances in a two-candidate race. He polls 00 potential voters and finds that plan to vote for the Republican candidate. Does the Republican candidate have a chance to win? Use = 0.0. ) ) A recent stud claimed that at least % of junior high students are overweight. In a sample of 0 students, were found to be overweight. At = 0.0, test the claim. ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) Compute the standardized test statistic, X, to test the claim =. if n =, s =., and = 0.0. A). B) 0. C).0 D).0 )

3 ) Calculate the correlation coefficient, r, for the data below. ) A) -0. B) -0.0 C) -0. D) -0. ) Compute the standardized test statistic, X, to test the claim < if n =, s =., and = 0.0. A). B). C). D). ) ) Compute the standardized test statistic, X, to test the claim >. if n =, s =., and = 0.0. A). B). C). D). ) The data below are the final eam scores of 0 randoml selected statistics students and the number of hours the studied for the eam. Calculate the correlation coefficient r. ) ) Hours, Scores, 0 0 A) 0. B) 0. C) 0. D) 0. ) The data below are the number of absences and the final grades of randoml selected students from a statistics class. Calculate the correlation coefficient, r. ) Number of absences, Final Grade, 00 0 A) -0. B) -0. C) -0. D) -0. ) If Data A has a correlation coefficient of r = -0., and Data B has a correlation coefficient of r = 0., which correlation is correct? A) Data A has a stronger linear correlation than Data B. B) Data A has a weaker linear correlation than Data B. C) Data A and Data B have the same strength in linear correlation. ) 0) Which of the following values could not represent a correlation coefficient? 0) A) - B) 0 C).0 D) 0. ) Find the equation of the regression line for the given data. ) A) ^ = B) ^ =.0-0. C) ^ = D) ^ =

4 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) ^ Construct a % prediction interval for given =., = + and se = 0. ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) ^^ Find the standard error of estimate, se, for the data below, given that = -.. ) A) 0. B) 0. C) 0. D) 0. ) ^ Find the standard error of estimate, se, for the data below, given that = +. ) A) B) 0 C) D) ) Find the equation of the regression line for the given data. ) A) ^ = B) ^ = C) ^ = D) ^ = ) ^ Construct a % prediction interval for given =., = -. and se = 0.. Round interval to three decimal places. ) A) -. < < 0.0 B) -. < < -. C) -. < <. D) -. < <.0

5 ) The contingenc table below shows the results of a random sample of 00 state representatives that was conducted to see whether their opinions on a bill are related to their part affiliation. ) Part Republican Democrat Independent Opinion Approve Disapprove No Opinion Find the epected frequenc for the cell E,. Round to the nearest tenth if necessar. A). B). C). D). ) The contingenc table below shows the results of a random sample of 00 state representatives that was conducted to see whether their opinions on a bill are related to their part affiliation. Use = 0.0. ) Part Republican Democrat Independent Opinion Approve Disapprove No Opinion Find the critical value 0, to test the claim of independence. A). B). C). D). ) The contingenc table below shows the results of a random sample of 00 state representatives that was conducted to see whether their opinions on a bill are related to their part affiliation. ) Part Republican Democrat Independent Opinion Approve Disapprove No Opinion Find the chi-square test statistic,, to test the claim of independence. A).00 B). C). D). 0) Each side of a standard si-sided die should appear approimatel of the time when the die is 0) rolled. A plaer suspects that a certain die is loaded. The suspected die is rolled 0 times. The results are shown below. Calculate the chi-square test statistic to test the plaer's claim. Number Frequenc A).0 B). C).0 D).

6 A hpothesis test is to be performed. Determine the null and alternative hpotheses. ) The recommended dietar allowance (RDA) of vitamin C for women is milligrams per da. A hpothesis test is to be performed to decide whether adult women are, on average, getting less than the RDA of milligrams per da. A) H : µ > mg B) H : µ = mg C) H : µ = mg D) H : µ < mg : µ < mg : µ mg : µ < mg : µ = mg )