Question;Complete the final exam offline during the final exam week. Once you have complete theexam, input your exam into the final exam shell in the exam folder on the course webpage. Good luck126.96.36.199.188.8.131.52.US Census statistics show that college graduates make more than $254,000 more intheir lifetime than non-college graduates. If you were to question the validity ofthis observation, what would be your basis for doing so?A. Definition of a college graduateB. Work lifestyles of the populationC. Defining lifetimeD. How the Census was takenThe average age in a sample of 190 students at City College is 22. As a result ofthis sample, it can be concluded that the average age of all the students at CityCollegeA. must be more than 22, since the population is always larger than the sampleB. must be less than 22, since the sample is only a part of the populationC. could not be 22D. could be larger, smaller, or equal to 22Since a sample is a subset of the population, the sample meanA. is always smaller than the mean of the populationB. is always larger than the mean of the populationC. must be equal to the mean of the populationD. can be larger, smaller, or equal to the mean of the populationUse the following situation for Questions 4-7. Michael, Inc., a manufacturer ofelectric defibrillators, is a firm that makes 50 types of electric defibrillators. Thetable below shows the price distribution of the defibrillators.Price (In $)Number of Defibrillators100 1308140 - 17012180 - 21020220 - 25010Select from the following choices for Questions 4-7. Use letter only in the blank.A. 32B. 50% C. 20 D. 30 E. 16% F. 10 G. 60% H. 50How many defibrillators have a price of at least $180?_______What percentage of the defibrillators has a price of at least $180? ______What percentage of the defibrillators has a price of less than $140? _____How many defibrillators cost at least $140 but no more than $210? ______Temperature is an example ofA. a qualitative variableB. a quantitative variableC. either a quantitative or qualitative variableD. neither a quantitative nor qualitative variableUse the following situation for Questions 9 and 10.The following frequency distribution shows the frequency of outbreaks of the11 virus (statistics flu) for the following households in a small rural community.184.108.40.206.13.14.Households 1134 406 168 41 25 12Outbreaks012345Use the frequency distribution to construct a probability distribution by filling inthe blanks below.012345xP(x) P(0) = __ P(1) = __ P(2) = __ P(3) = ___ P(4) = ___ P(5) = ___Compute the mean and the standard deviation and select from the following theappropriate interpretation of the results (select best response)A. A household on the average has 0.9 outbreaks with a standard deviation of.6 outbreaksB. A household on the average has 0.6 outbreaks with a standard deviation of12 outbreaksC. A household on the average has 0.9 outbreaks with a standard deviation of.9 outbreaksD. A household on the average has 0.6 outbreaks with a standard deviation of.9 outbreaksUse the following situation for Questions 11 - 13.Twenty students were randomly selected for cholesterol screening. The followingdata were collected.260 164 210 225 244 254 233 184 269 206158 209 221 213 198 179 214 257 246 221Using the information above compute the following: (Round to nearest hundredth)A. Mean = _____B. Median = _____C. Mode = _____D. Sample Standard Deviation = _____E. The Sample Variance = ______F. The Coefficient of Variation = ______ (as a percent, for example 27.43%)Is the data skewed _______ (select correct letter from list below)A. No B. Skewed left C. Skewed rightD. Unable to determineWhich is the best measure of central tendency for the randomly selected cholesterolscreenings? _______ (select correct letter from list below)A. Mean B. Median C. Mode D. It does not matter, one is as good as the otherLet event A = a patient does not survive a new treatment procedure for prostratecancer and event B = the patient is permanently rendered sexually dysfunctional bythe new treatment. Furthermore, events A and B are mutually exclusive. Which ofthe following statements is also true?A. A and B are also independent.B. P(A or B) = P(A)P(B)C. P(A or B) = P(A) + P(B)D. P(A and B) = P(A) + P(B)15.Twenty-five percent of the employees of a large hospital are minorities. A randomsample of 7 employees is selected.A.B.C.D.E.16.What is the probability that the sample contains exactly 4 minorities? ____What is the probability that the sample contains fewer than 2 minorities? ____What is the probability that the sample contains exactly 1 non-minority? ____What is the expected number of minorities in the sample? ______What is the variance of the minorities? _______Select from the answers below. Place the correct letter in the blanks above.A. 0.5551B. 1.1456C. 0.4449D. 0.0013 E. 1.7226F. 1.3125G. 0.0577H..0001I. 1.75J. 0.0286The life expectancy of a lung cancer patient treated with a new drug is normallydistributed with a mean of 4 years and a standard deviation of 10 months.A. What is the probability that a randomly selected lung cancer patient will last morethan 5 years? _____B. What percentage of lung cancer patients will last between 5 and 6 years? ____C. What percentage of lung cancer patients will last less than 4 years? _____D. What percentage of lung cancer patients will last between 2.5 and 4.5 years? _E. If the drug manufacturer guarantees the drug will be effective for a minimum of 3years (and will pay for the entire treatment program if the patient does not survive),what percentage of lung cancer patients will have to pay for the treatment? _____17.Select from the answers below. Place the correct letter in the blanks above.A. 10.69%B. 11.51% C..0796D. 46.01%E. 88.49%F. 68.9%G. 53.98% H. 0%I. 50%J. 0.06172The life expectancy in the United States is 75 with a standard deviation of 7 years.A random sample of 49 individuals is selected.A.B.C.D.E.F.18.What is the standard error of the mean? _____What is the probability that the sample mean will be larger than 77 years? ___What is the probability that the sample mean will be less than 72.7 years? ___What is the probability that the sample mean will be between 73.5 and 76 years? _____What is the probability that the sample mean will be between 72 and 74 years? _____What is the probability that the sample mean will be larger than 73.46 years? _____Select from the answers below. Place the correct letter in the blanks above.A. 0.0107B. 0.7745C. 1.0D. 0.8427E. 0.9772F. 0.0228G. 1/7H. 0.9389I. 22.55%J. 0.1573The standard hemoglobin reading for healthy adult men is 15 g/110 ml with astandard deviation of = 2 g. For a group of men, we find a mean hemoglobin of16.0 g.A. Obtain a 95% confidence interval for if the group size was 25_____B. Obtain a 95% confidence interval for if the group size was 36_____C. Obtain a 95% confidence interval for if the group size was 49_____Select from the answers below. Place the correct letter in the blanks above.A. 15.440 - 16.560B. 15.347 - 16.653C. 14.440 - 15.560D. 14.316 - 15.684E. 15.316 16.684F. 14.347 - 15.65319.20.Doubling the size of the sample willA. reduce the standard error of the mean to one-half its current valueB. reduce the standard error of the mean to approximately 70% of its currentvalueC. have no effect on the standard error of the meanD. double the standard error of the meanThe fact that the sampling distribution of sample means can be approximated by anormal probability distribution whenever the sample size is large is based on theA. central limit theoremB. fact that we have tables of areas for the normal distributionC. assumption that the population has a normal distributionD. None of these alternatives is correct.Use the following situation for Questions 21 - 23. In order to estimate theaverage time spent on the dialysis machines per kidney patient at a local universityhospital, data were collected for a sample of 81 patients over a one week period.Assume the population standard deviation is 1.2 hours.21.The standard error of the mean is22.A. 7.5 B. 0.014 C. 0.160 D. 0.133With a 0.95 probability, the margin of error is approximately23.A. 0.26 B. 1.96 C. 0.21 D. 1.64If the sample mean is 9 hours, then the 95% confidence interval is24.25.26.A. 7.04 to 110.96 hours B. 7.36 to 10.64 hoursC. 7.80 to 10.20 hoursD. 8.74 to 9.26 hoursThe t distribution is applicable whenever:A. the sample is considered large (n 30).B. the population is normal and the sample standard deviation is used toestimate the population standard deviationC. n 100D. n 1000Use the following situation for Questions 25 26. A random sample of 16statistics examinations from a large population was taken. The average score inthe sample was 78.6 with a variance of 64. We are interested in determiningwhether the average grade of the population is significantly more than 75. Assumethe distribution of the population of grades is normal.The test statistic is: A. 0.45 B. 1.80 C. 3.6 D. 8At 95% confidence, it can be concluded that the average grade of the populationA. is not significantly greater than 75B. is significantly greater than 75C. is not significantly greater than 78.6D. is significantly greater than 78.627.Independent samples are obtained from two normal populations with equalvariances in order to construct a confidence interval estimate for the differencebetween the population means. If the first sample contains 16 items and the secondsample contains 36 items, the correct form to use for the sampling distribution istheA. normal distributionB. t distribution with 15 degrees of freedomC. t distribution with 35 degrees of freedomD. t distribution with 50 degrees of freedomUse the following situation for Questions 28 33. A statistics teacher wants tosee if there is any difference in the abilities of students enrolled in statistics todayand those enrolled five years ago. A sample of final examination scores fromstudents enrolled today and from students enrolled five years ago was taken. Youare given the following results.MeanVarianceSample Size220.127.116.11.32.33.Today82112.545Five Years Ago885436The difference between the means of the two populations is (d) =A. 58.5 B. 9C. -9 D. -6The standard deviation of the difference between the means of the two populationsisA. 12.9 B. 9.3 C. 4 D. 2The 95% confidence interval for the difference between the two population meansisA. -9.92 to -2.08B. -3.92 to 3.92C. -13.84 to 1.84D. -24.228 to 12.23The test statistic for the difference between the two population means isA. -.47 B. -.65 C. -1.5 D. -3The p-value for the difference between the two population means isA..0014 B..0028 C..4986 D..9972What is the conclusion that can be reached about the difference in the average finalexamination scores between the two classes? (Use a.05 level of significance.)A. There is a statistically significant difference in the average finalexamination scores between the two classes.B. There is no statistically significant difference in the average finalexamination scores between the two classes.C. It is impossible to make a decision on the basis of the information given.D. There is a difference, but it is not significant.Use the following situation for Questions 34 38. The director of a regionalhospital is interested in determining whether or not the proportion of incomingfemale patients who needs a pap-smear has increased. A sample of female patientstaken several years ago is compared with a sample of female patients this year.Results are summarized below.Sample SizeNo. Requiring Pap-Smear18.104.22.168.38.39.40.Previous Sample25050Present Sample30069The difference between the two proportions is:A. 50 B. 19 C. 0.50 D. - 0.03The pooled proportion has a value ofA. 0.216 B. - 0.216 C. 1.645 D. 0.5The interest of the director represents aA. one tailed testB. two tailed testC. one tailed or a two tailed test, depending on the confidence coefficientD. one tailed or a two tailed test, depending on the level of significanceThe test statistics for this test isA. 1.645 B. 1.96 C. 0.035 D. - 0.851If the test is to be done with an =.05 theA. null hypothesis should be rejectedB. null hypothesis should not be rejectedC. alternative hypothesis should be acceptedD. None of these alternatives is correct.Regression analysis was applied between demand for a product (Y) and the priceof the product (X), and the following estimated regression equation was obtained.Y = 120 - 10 XBased on the above estimated regression equation, if price is increased by 2 units,then demand is expected toA. increase by 120 units B. increase by 100 unitsC. increase by 20 unitsD. decease by 20 unitsIf there is a very strong correlation between two variables, then the coefficient ofcorrelation must beA. much larger than 1, if the correlation is positiveB. much smaller than 1, if the correlation is negativeC. much larger than oneD. None of these alternatives is correct.22.214.171.124.45.46.47.Regression analysis was applied between sales (in $1000) and advertising (in $100)and the following regression function was obtained. Y = 500 + 4 XBased on the above estimated regression line if advertising is $10,000, then thepoint estimate for sales (in dollars) isA. $900 B. $900,000 C. $40,500 D. $505,000Use the following situation for Questions 42 46. You are given the followinginformation about y and x.yxDependent VariableIndependent Variable515712910117The least squares estimate of b1 equalsA. -0.7647 B. -0.13 C. 21.4 D. 16.412The least squares estimate of b0 equalsA. -0.7647 B. -1.3 C. 164.1176 D. 16.41176The sample correlation coefficient equalsA. -86.667 B. -0.99705C. 0.9941D. 0.99705The coefficient of determination equalsA. -0.99705 B. -0.9941 C. 0.9941 D. 0.99705A researcher selected a sample of 50 residents from each of three different cities todetermine if they were willing to participate in a medical experiment. At =.05,test the claim that the proportions who will participate are equal.ResidentsCity 1 City 2 City 3Willing to participate201222Not willing to participate303828Total505050A. There is not evidence to reject the claim that the proportions are equalbecause the test value 4.861 1.042C. There is not evidence to reject the claim that the proportions are equalbecause the test value 5.991 1.042A researcher is comparing samples from 6 different populations. Assume that theconclusion from an ANOVA is that the null hypothesis is rejected, in other wordsthat the 6 population means are not all equal. How many of the population meanswould be significantly different from the others?A. Three (half)B. At least 1C. All would be different D. More than 2Use the following situation for Questions 48 50. A research firm reported that15% of those surveyed described their health as poor, 26% as good, 40% as verygood, and 19% as excellent. A health professional in Chicago wanted to determineif people in Chicago had similar feelings toward their health. In a sample of 600people in Chicago, 70 described their health as poor, 180 as good, 210 as verygood, and 140 as excellent. Complete the chart below by filling in the observed andexpected values.48.49.50.Observed ExpectedPoorGoodVery GoodExcellentCalculate the test statistic ________ (to two decimal places, i.e 2.34)Given an =.05, what is the result of the chi-squared test?A. There is not evidence to reject the claim that the proportions are equalbecause the test value is less than the critical 2 value.B. There is evidence to reject the claim that the proportions are equal becausethe test value is greater than the critical 2 value.C. There is not evidence to reject the claim that the proportions are equalbecause the test value is greater than the critical 2 value.D. There is evidence to reject the claim that the proportions are equal becausethe test value is less than the critical 2 value.
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