Question 1 An article in the San Jose Mercury News stated thatstudents in the California state university system take 4.5years, on average, to finish their undergraduate degrees.Suppose you believe that the mean time is longer. Youconduct a survey of 49 students and obtain a sample meanof 5.1 with a sample standard deviation of 1.2 and thenperform a hypothesis at a 1% significance level using theCritical Value procedure.What is the null and alternate hypothesis for this hypothesistest?a Ho: ? = 4.5, Ha: ? > 5.1b Ho: ? = 4.5, Ha: ? < 5.1c Ho: ? = 4.5, Ha: ? > 4.5d Ho: ? = 4.5, Ha: ? < 4.5________ What is the numerical value of ? for this test?Enter answer as a 2 place decimal with a 0 to the leftof the decimal point.Do not enter answer as a percent.________ What is the appropriate distribution for performingthis test?az distributionbt distributioncEither distributiondNeither. This question does not depend onknowing the appropriate distribution.Select and enter the appropriate letter.________ What is the critical value for the test statistic?Enter answer as a 3 place decimal rounded to 3 decimalplaces.________ What is the numerical value of the test statistic? Enter answer as a decimal rounded to 1 decimalplace.________ Based upon the Hypothesis test what is yourdecision?aThere is insufficient evidence, based upon thedata, to accept the alternate hypothesis.bThere is sufficient evidence, based upon thedata, to accept the alternate hypothesis.cIt is not possible to make a decision (null oralternate), based upon the data.dA strong case could be made for either decision(null or alternate) based upon the data.________ Question 2 From Generation to Generation, the mean age whensmokers first start to smoke varies. However, thepopulation standard deviation of their ages remainsconstant of around 2.1 years. A survey of 40 smokersof this generation was done to see if the meanstarting age is less than 19. The sample mean was18.1. Do the data support the claim at a 5% level?What is the Null Hypothesis?aThe mean age of first starting to smoke is lessthan or equal to (< = ) 18.1bThe mean age of first starting to smoke isgreater than or equal to (> =) 18.1cThe mean age of first starting to smoke is notequal to (?) 19dThe mean age of first starting to smoke isgreater than or equal to(> =) 19eThe mean age of first starting to smoke is lessthan or equal to (< =) 19Enter the correct answer by selecting the appropriate letter without a decimal point.________ What is the Alternate Hypothesis?a The mean age of first starting to smoke is less than (< )18.1b The mean age of first starting to smoke is greater than(>) 18.1c The mean age of first starting to smoke is not equal to(?) 19d The mean age of first starting to smoke is greater than(> ) 19e The mean age of first starting to smoke is less than (< )19fThe mean age of first starting to smoke is equal to (?) 19Enter the correct answer by selecting the appropriate letterwithout a decimal point.________ What is the significance level of the test?Enter answer as a 2 place decimal with a 0 enteredto the left of the decimal point.Do not enter answer as a percent.________ What is the appropriate distribution to use to answer thequestion?a Uniform Distributionb Normal Distributionc t Distributiond Chi Square Distributione F DistributionEnter the correct answer by selecting the appropriate letterwithout a decimal point.________ What is the numerical value of the Test Statistic?Enter answer rounded to 2 decimal places.________ What is the numerical value of the Pvalue?Enter answer rounded to 3 or 4 place places with a zero tothe left of the decimal place.Do not enter answer as a percent.________ What is the Pvalue Decision Rule?a. The data supports the alternate hypothesis if the Pvalueis greater than the significant level of the test.b. The data supports the alternate hypothesis if the Pvalueis less than or equal to the significant level of the test.c. The Pvalue must equal the significant level of the testfor the decision of the hypothesis test to be alternate.d. The Pvalue must not be equal the significant level of thetest for the decision of the hypothesis test to be alternate.Enter the correct answer by selecting the appropriate letterwithout a decimal point.________ What is the appropriate decision based upon your analysesof the data?Enter the correct answer by selecting the appropriate letterwithout a decimal point.a There is sufficient evidence reject the null hypothesis.b There is insufficient evidence to reject the nullhypothesis.c There is insufficient evidence to make a decision basedupon the data.Enter the correct answer by selecting the appropriate letterwithout a decimal point.________ Question 3 Your statistics instructor claims that 60% of studentsthat take her Elementary Statistics class go throughlife feeling more enriched. You believe the actualnumber of students that took her ElementaryStatistics class that feel more enriched is less than60%. You decide to check her conjecture byrandomly survey 64 of her past students. In yourrandom survey of 64 of her previous students 33 ofthe students felt more enriched. At a significancelevel of 5% does the data support your belief?What is the null hypothesis for this hypothesis test?aThe number of students that took her class andfeel more enriched is less than or equal to 60%.bThe number of students that took her class andfeel more enriched is less than 60%.cThe number of students that took her class andfeel more enriched is more than or equal to 60%dThe number of students that took her class andfeel more enriched is more than 60%.eThe number of students that took her class andfeel more enriched is not equal to 60%.Enter the correct answer by selecting the appropriateletter without a decimal point.________ What is the alternate hypothesis for this hypothesistest?aThe number of students that took her class andfeel more enriched is less than or equal to 60%.bThe number of students that took her class andfeel more enriched is less than 60%.cThe number of students that took her class andfeel more enriched is more than or equal to 60%dThe number of students that took her class and feel more enriched is more than 60%.eThe number of students that took her class andfeel more enriched is not equal to 60%.Enter the correct answer by selecting the appropriateletter without a decimal point.________ What is the significance level of the test?Enter answer as a 2 place decimal with a 0 entered to theleft of the decimal point.Do not enter answer as a percent.________ What is the appropriate distribution to use to answer thequestion?a Uniform Distributionb Normal Distributionc t Distributiond Chi Square Distributione F DistributionEnter the correct answer by selecting the appropriate letterwithout a decimal point.________ What is the numerical value of the Test Statistic?Enter answer as a decimal rounded to 2 places.________ What is the numerical value of the Pvalue?Enter answer rounded to 3 places with a zero to the left ofthe decimal place.Do not enter answer as a percent.________ What is the Pvalue Decision Rule?a. The data supports the alternate hypothesis if the Pvalueis greater than the significant level of the test.b. The data supports the alternate hypothesis if the Pvalueis less than or equal to the significant level of the test.c. The data supports the alternate hypothesis if the Pvalueequals the significant level of the test.d. The data supports the alternate hypothesis if the Pvaluedoes not equal the significant level of the test.Select the correct answer and enter the appropriate letterwithout a decimal point.________ What is the appropriate decision based upon your analysesof the data?Enter the correct answer by selecting the appropriate letterwithout a decimal point.a There is sufficient evidence reject the null hypothesis.b There is insufficient evidence to reject the nullhypothesis.c There is insufficient evidence to make a decision basedupon the data.Enter the correct answer by selecting the appropriate letterwithout a decimal point.________ Question 4 Use the following 4 (x, y) pairs to find the equation ofthe least squares regression line.x 2 3 5 6 y 5 9 10 12 Round the first answer (constant) to 0 decimal places (integer) and the second answer (slope) to 1 decimal place. ________________ Based on the above equation, what is the predicted value of y if x = 10? Round answer to 0 decimal places (integer).________ Question 5 The following paired observations show the number ofcitations given for speeding by Officer Dhondt and OfficerMeredith of the South Carolina Highway Patrol for the last 5monthsCitationsMonths OfficerDhondt OfficerMeredith May 30 29 June 22 22 July 25 23 Aug 19 18 Sept 26 22 At a .05 significance level, is there reason to believe thatOfficer Dhondt gives more citations on average than OfficerMeredith?Identify the null hypothesis and the alternative hypothesis.a Ho The mean number of citations given by OfficerDhondt is greater than the mean number given by OfficerMeredith.Ha There is no difference between themean number of citations given by Officer Dhondt andOfficer Meredith. b Ho There is no difference between the mean numberof citations given by Officer Dhondt and Officer Meredith.Ha The mean number of citations given by OfficerDhondt is greater than the mean number given by OfficerMeredith.c Ho There is no difference between the mean numberof citations given by Officer Dhondt and Officer Meredith.Ha There is a difference between the mean number ofcitations given by Officer Dhondt and Officer Meredith.d Ho There is no difference between the mean numberof citations given by Officer Dhondt and Officer Meredith..Ha The mean number of citations given by OfficerDhondt is less than the mean number given by OfficerMeredith.Enter the correct answer by selecting the appropriate letter.________ What is the numerical value of the test statistic?Enter answer rounded to 2 decimal places with a 0 to the leftof the decimal place when appropriate. ________ What is the numerical value of the Pvalue.Enter answer rounded to 3 decimal places with a zero to theleft of the decimal point.Do not enter answer as a percent.________ Is there sufficient evidence to support the claim that themean number of citations given by Officer Dhondt is greaterthan the mean number given by Officer Meredith.?Enter the correct answer by selecting the appropriate lettera There is insufficient evidence to support the claim thatthe mean number of citations given by Officer Dhondt isgreater than the mean number given by Officer Meredith. b There is sufficient evidence to support the claim that themean number of citations given by Officer Dhondt is greaterthan the mean number given by Officer Meredith.c There is insufficient evidence to draw a conclusion aboutthe mean number of citations given by Officer Dhondt andthe mean number of citations given by Officer Meredith.________Question 6 A die is suspected of being biased. It is rolled 25times with the following results:Outcome 1 2 3 4 5 6 Total OutcomeProbability 1/6 1/6 1/6 1/6 1/6 ExpectedFrequency A B C D E F 25 ObservedFrequency 9 4 1 8 3 0 25 Conduct a significance test at a significant level of5% to see if the die is biased.A die is not biased if the probability of each of theoutcomes is equal to each other.A die is biased if the probability of each of theoutcomes is not equal to each other.The numerical value of A is:Enter answer as a decimal rounded to 3 places.________ The Null Hypothesis is:aThe die is biased. The probabilities for theoutcomes (1, 2, 3, 4, 5, 6) are not equal.(There is a statistical difference between theexpected frequency and the observed frequency.) 1/6 1 bThe die is not biased. The probabilities for theoutcomes (1, 2, 3, 4, 5, 6) are equal.(There is no statistical difference between theexpected frequency and the observed frequency.)Enter answer by selecting the appropriate letter.________ The Alternate Hypothesis is:aThe die is biased. The probabilities for theoutcomes (1, 2, 3, 4, 5, 6) are not equal.(There is a statistical difference between theexpected frequency and the observed frequency.)bThe die is not biased. The probabilities for theoutcomes (1, 2, 3, 4, 5, 6) are equal.(There is no statistical difference between theexpected frequency and the observed frequency.)Enter answer by selecting the appropriate letter.________ The appropriate distribution for performing theHypothesis Test is:aUniform DistributionbNormal Distributionct DistributiondChi Square DistributioneF DistributionEnter answer by selecting the appropriate letter.________ The critical value of the Test Statistic:Enter answer rounded to 2 or 3 decimal places.(Chi Square Table can be found in LEO-Content-StatisticalResources)________ The numerical value of the Test Statistic is: Enter the answer rounded to 2 decimal places.________ The Pvalue isEnter the answer rounded to 4 decimal places.Do not enter answer as a percent.________ Based upon the analysis of the data:aThe null hypothesis is not rejected becausethe Pvalue is larger than the significancelevel of the test. (The test statistic is lessthan the critical value.)bThe null hypothesis is rejected because thePvalue is less than the significance levelof the test. (The test statistic is greaterthan the critical value.)Enter answer by selecting the appropriate letter.________Question 7The frequency distribution of Order Lead Time at Ecommerce.comis tabulated in the below table.Lead TimesFrequency0 up to 565 up to 10710 up to 151215 up to 20820 up to 257Total401.How many orders were filled in less than 10 days? In lessthan 15 days?_______2.About 60% of the orders were filled in less than how manydays? ______Question 8 For the data from the 1977 Stat. and Biom. 200 class for eyecolor, construct a frequency table with the relative frequencyof each eye color and answer the following questions:Eye Color Number of students Brown 11 Blue 9 Green 4 Gray 1 Relative Frequency 1. What is the relative frequency for the Eye ColorGreen?Enter answer to 2 decimal places. Include 0 tothe left of the decimal point.Do not enter answer as a percent.______ 2.If you sum the numbers in the relativefrequency column what will the total sum to?Enter answer as a decimal with 1 or lessdecimal places.Do not enter answer as a percent.
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