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##### STATS 20 Multiple Choice Questions

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Question;Question 1 of 20 1.0 PointsA lab technician is tested for her consistency by taking multiple measurements of cholesterollevels from the same blood sample. The target accuracy is a variance in measurements of 1.2 orless. If the lab technician takes 16 measurements and the variance of the measurements in thesample is 2.2, does this provide enough evidence to reject the claim that the lab technician?saccuracy is within the target accuracy?State the null and alternative hypotheses.A. H0: s2? 1.2, H1: s2? 1.2B. H0: s2? 1.2, H1: s2 = 1.2C. H0: s2 1.2 Reset SelectionQuestion 2 of 20 1.0 PointsSmaller p-values indicate more evidence in support of the:A. alternative hypothesisB. the reduction of varianceC. quality of the researcherD. null hypothesis Reset SelectionQuestion 3 of 20 1.0 PointsThe hypothesis that an analyst is trying to prove is called the:A. quality of the researcherB. alternative hypothesisC. level of significanceD. elective hypothesis Reset SelectionQuestion 4 of 20 1.0 PointsA severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Supposethat a storm is in progress with a severe storm class rating. Let us say that we want to set up astatistical test to see if the wave action (i.e., height) is dying down or getting worse. If you wantedto test the hypothesis that the waves are dying down, what would you use for the alternatehypothesis? Is the P-value area on the left, right, or on both sides of the mean?A. H1: is not equal to 16.4 feet, the P-value area is on the right of the meanB. H1: is greater than 16.4 feet, the P-value area is on the left of the meanC. H1: is greater than 16.4 feet, the P-value area is on both sides of the meanD. H1: is less than 16.4 feet, the P-value area is on the left of the mean Reset SelectionQuestion 5 of 20 1.0 PointsA manufacturer of flashlight batteries took a sample of 13 batteries from a day?s production andused them continuously until they failed to work. The life lengths of the batteries, in hours, untilthey failed were: 342, 426, 317, 545, 264, 451, 1049, 631, 512, 266, 492, 562, and 298.At the.05 level of significance, is there evidence to suggest that the mean life length of thebatteries produced by this manufacturer is more than 400 hours?A. No, because the p-value for this test is equal to.1164B. Yes, because the test value 1.257 is less than the critical value 2.179C. No, because the test value 1.257 is greater than the critical value 1.115D. Yes, because the test value 1.257 is less than the critical value 1.782 Reset SelectionQuestion 6 of 20 1.0 PointsResults from previous studies showed 79% of all high school seniors from a certain city plan toattend college after graduation. A random sample of 200 high school seniors from this city revealsthat 162 plan to attend college. Does this indicate that the percentage has increased from that ofprevious studies? Test at the 5% level of significance.What is your conclusion?A. Cannot determineB. More seniors are going to collegeC. Reject H0. There is enough evidence to support the claim that the proportion of studentsplanning to go to college is now greater than.79.D. Do not reject H0. There is not enough evidence to support the claim that the proportion ofstudents planning to go to college is greater than.79. Reset SelectionQuestion 7 of 20 1.0 PointsIn an article appearing in Today?s Health a writer states that the average number of calories in aserving of popcorn is 75. To determine if the average number of calories in a serving of popcornis different from 75, a nutritionist selected a random sample of 20 servings of popcorn andcomputed the sample mean number of calories per serving to be 78 with a sample standarddeviation of 7.State the null and alternative hypotheses.A. H0: 75, H1: 75C. H0: = 75, H1:? 75D. H0: 75, H1: > 75 Reset SelectionQuestion 8 of 20 1.0 PointsA type I error occurs when the:A. null hypothesis is incorrectly rejected when it is trueB. sample mean differs from the population meanC. null hypothesis is incorrectly accepted when it is falseD. test is biased Reset SelectionQuestion 9 of 20 1.0 PointsThe form of the alternative hypothesis can be:A. neither one nor two-tailedB. one-tailedC. one or two-tailedD. two-tailed Reset SelectionQuestion 10 of 20 1.0 PointsA lab technician is tested for her consistency by taking multiple measurements of cholesterollevels from the same blood sample. The target accuracy is a variance in measurements of 1.2 orless. If the lab technician takes 16 measurements and the variance of the measurements in thesample is 2.2, does this provide enough evidence to reject the claim that the lab technician?saccuracy is within the target accuracy?At the a =.01 level of significance, what is your conclusion?A.Reject H0. At the =.01 level of significance, there is not enough evidence to support the claimthat this technician?s true variance is larger than the target accuracy.B. Do not reject H0. At the =.01 level of significance there is not sufficient evidence to suggestthat this technician?s true variance is greater than the target accuracy.C. Cannot determineD. Reject H0. At the =.01 level of significance, there is enough evidence to support the claim thatthis technician?s variance is larger than the target accuracy. Reset SelectionQuestion 11 of 20 1.0 PointsThe null and alternative hypotheses divide all possibilities into:A. two sets that overlapB. two sets that may or may not overlapC. as many sets as necessary to cover all possibilitiesD. two non-overlapping sets Reset SelectionPart 2 of 3 Question 12 of 20 1.0 PointsA survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers.An ice cream shop determines that of 240 customers, 18 customers stated their preference formint chocolate chip.Find the P-value that would be used to determine if the percentage of customers who prefer mintchocolate chip ice has increased at a 5% level of significance..1639P-value: Round your answer to four decimal places as necessary.Question 13 of 20 1.0 PointsA medical doctor wishes to test the claim that the standard deviation of the systolic blood pressureof deep sea divers is greater than 450. To do so, she selected a random sample of 25 divers andfound s = 468.Assuming that the systolic blood pressures of deep sea divers are normally distributed, the doctorwould perform a chi-square test to test her research hypothesis. In that case, what is the test valuethat she would compute.5.095Place your answer, rounded to 3 decimal places, in the blank. For example, 34.567 would be alegitimate entry.Question 14 of 20 1.0 PointsThe ABC battery company claims that their batteries last at least 100 hours, on average. Yourexperience with their batteries has been somewhat different, so you decide to conduct a test to seeif the company's claim is true. You believe that the mean life is actually less than the 100 hoursthe company claims. You decide to collect data on the average battery life (in hours) of a randomsample of n = 20 batteries. Some of the information related to the hypothesis test is presentedbelow.Test of H0: 100 versus H1: 100Sample mean 98.5Std error of mean 0.777Assuming the life length of batteries is normally distributed, if you wish to conduct this test usinga.05 level of significance, what is the critical value that you should use? Place your answer,rounded to 3 decimal places in the blank. For example, -1.234 would be a legitimate entry.-1.645Question 15 of 20 1.0 PointsAt a university, the average cost of books per student has been $550 per student per semester. TheDean of Students believes that the costs are increasing and that the average is now greater than$550. He surveys a sample of 40 students and finds that for the most recent semester their averagecost was $630 with a standard deviation of $120. What is the test value for this hypothesis test?4.216Test value: Round your answer to two decimal places as necessary.Question 16 of 20 1.0 PointsA firm that produces light bulbs claims that their lightbulbs last 1500 hours, on average. Youwonder if the average might differ from the 1500 hours that the firm claims. To explore thispossibility you take a random sample of n = 25 light bulbs purchased from this firm and recordthe lifetime (in hours) of each bulb. You then conduct an appopriate test of hypothesis. Some ofthe information related to the hypothesis test is presented below.Test of H0: = 1500 versus H1: 1500Sample mean 1509.5Std error of mean 4.854Assuming the life length of this type of lightbulb is normally distributed, what is the p-valueassociated with this test? Place your answer, rounded to 3 decimal places, in the blank. Forexample, 0.234 would be a legitimate entry.0.0503Question 17 of 20 1.0 PointsSuppose a firm that produces light bulbs wants to know whether it can say that its light bulbstypically last more than 1500 hours. Hoping to find support for their claim, the firm collects arandom sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. Theinformation related to the hypothesis test is presented below.Test of H0: 1500 versus H1: > 1500Sample mean 1509.5Std error of mean 4.854Assuming the life length of this type of lightbulb is normally distributed, if you wish to conductthis test using a.05 level of significance, what is the critical value that you should use? Place youranswer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimateentry.Part 3 of 3 1.645Question 18 of 20 1.0 PointsThe p-value of a test is the smallest level of significance at which the null hypothesis can berejected.TrueFalseReset SelectionQuestion 19 of 20 1.0 PointsThe probability of making a Type I error and the level of significance are the same.TrueFalseReset SelectionQuestion 20 of 20 1.0 PointsUsing the confidence interval when conducting a two-tailed test for the population mean, we donot reject the null hypothesis if the hypothesized value for falls between the lower and upperconfidence limits.TrueFalse

Paper#61640 | Written in 18-Jul-2015

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