COMM 215 COORDINATION SAMPLE QUESTIONS

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!!!!COMM 215 COORDINATIONSAMPLE urse.!!!!!

ExamNameMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers thequestion.1) Which is least likely to be an application where statistics will be useful?A) Predicting whether an airfare is likely to rise or fallB) Designing the most desirable features for a ski passC) Deciding whether offering Rice Krispies improves restaurant salesD) Choosing the wording of a corporate policy prohibiting smoking1)2) Which statement is correct?A) Judgment sampling is preferred to systematic sampling.B) Sampling without replacement introduces bias in our estimates of parameters.C) Cluster sampling is useful when strata characteristics are unknown.D) Focus groups usually work best without a moderator.2)3) Professor Hardtack chose a sample of 7 students from his statistics class of 35 studentsby picking every student who was wearing red that day. Which kind of sample is this?A) Simple random sampleB) Judgment sampleC) Systematic sampleD) Convenience sample3)4) The distribution pictured below is:4)A) bimodal and skewed right.C) skewed right.B) bimodal and skewed left.D) skewed left.5) A population is of size 5,500 observations. When the data are represented in a relativefrequency distribution, the relative frequency of a given interval is 0.15. The frequencyin this interval is equal to:A) 4,675.B) 800.C) 675.D) 825.15)

6) Which is not true of the Empirical Rule?A) It applies to any distribution.B) It can be applied to fewer distributions than Chebyshev's Theorem.C) It assumes that the distribution of data follows a bell-shaped, normal curve.D) It predicts more observations within µ kσ than Chebyshev's Theorem.6)7) Which is a correct statement concerning the median?A) In a left-skewed distribution, we expect that the median will exceed the mean.B) The sum of the deviations around the median is zero.C) The median is an observed data value in any data set.D) The median is halfway between Q1 and Q3 on a box plot.7)8) The 25th percentile for waiting time in a doctor's office is 19 minutes. The 75thpercentile is 31 minutes. The interquartile range is:A) 12 minutes.B) 16 minutes.C) 22 minutes.D) impossible to determine without knowing n.8)9) Here are statistics on order sizes of Megalith Construction Supply's shipments of twokinds of construction materials last year.9)Which order sizes have greater variability?A) GirdersB) RivetsC) They are the same.D) Cannot be determined without knowing n2

10) VenalCo Market Research surveyed 50 individuals who recently purchased a certainCD, revealing the age distribution shown below. Which statement is least defensible?10)A) The mean age probably exceeds the median age.B) The mode would be a reasonable measure of center.C) The data are somewhat skewed to the left.D) The CD is unlikely to appeal to retirees.11) Ramjac Company wants to set up k independent file servers, each capable of runningthe company's intranet. Each server has average "uptime" of 98 percent. What must kbe to achieve 99.999 percent probability that the intranet will be "up"?A) 1B) 2C) 3D) 411)12) A charity raffle prize is 1,000. The charity sells 4,000 raffle tickets. One winner willbe selected at random. At what ticket price would a ticket buyer expect to break even?A) 0.50B) 0.25C) 0.75D) 1.0012)13) If P(A B) 0.50, can P(A) 0.20?A) Only if P(A B) 0.10B) Not unless P(B) 0.30C) Only if P(B A) 0.60D) If P(A) 0.20, then P(A B) cannot equal 0.50.13)14) The discrete random variable X is the number of students that show up for ProfessorSmith's office hours on Monday afternoons. The table below shows the probabilitydistribution for X. What is the expected value E(X) for this distribution?14)A) 1.2B) 1.0C) 1.53D) 2.0

15) Given the contingency table shown here, find P(F or G).A) .160B) .470C) .65015)D) .81016) Given the contingency table shown here, find P(A1 A2).A) .00B) .09C) .2816)D) .3817) The lengths of brook trout caught in a certain Colorado stream are normally distributedwith a mean of 14 inches and a standard deviation of 3 inches. What lower limit shouldthe State Game Commission set on length if it is desired that 80 percent of the catchmay be kept by fishers?A) 12.80 inchesB) 11.48 inchesC) 12.00 inchesD) 9.22 inches17)18) Assume that X is normally distributed with a mean µ 64. Given that P(X 75) 0.2981, we can calculate that the standard deviation of X is approximately:A) 20.76.B) 13.17.C) 5.83.D) 7.05.18)19) The random variable X is normally distributed with mean of 80 and variance of 36. The67th percentile of the distribution is:A) 72.00.B) 95.84.C) 90.00.D) 82.64.19)20) If the mean time between in-flight aircraft engine shutdowns is 12,500 operating hours,the 90th percentile of waiting times to the next shutdown will be:A) 20,180 hours.B) 28,782 hours.C) 23,733 hours.D) 18,724 hours.20)4

1-An inspector working for a manufacturing company has a 99% chance of correctly identifying defective items and a 0.5% chance of incorrectly classifying a good item as defective. Thecompany has evidence that its line produces 0.9% of nonconforming items.a) What is the probability that an item selected for inspection is classified as defective?b) If an item selected at random is classified as non-defective, what is the probability that itis indeed good?2-Fourinspectors in a food factory are responsible for stamping the expiration dateon each package, and their information is provided as follows. Adam stamps 30% of the packages and fails to stamp the expiration date once inevery 200 packages. Bob stamps 50% of the packages and fails to stamp the expiration date once inevery 100 packages. Chris stamps 10% of the packages and fails to stamp the expiration date once inevery 90 packages. David stamps 10% of the packages and fails to stamp the expiration date once inevery 200 packagesa) If a package does not show the expiration date, what is the probability that thispackage was handled by Adam?b) If a package does not show the expiration date and it was NOT handled by Chris,what is the probability that this package was handled by Bob?3-A baker received 23 orders of cakes (one customer ordered one cake). Due to thepast experience, some customers do not show up and pick up their cakes. Theprobability that a customer does not pick up the cake is 0.15. To minimize thewaste as the leftover cakes cannot stay overnight, the baker only makes 20 cakes.Yet, customers are unhappy if they come and cannot pick their cakes.a) Determine the probability that the baker has no leftover cake and no unhappycustomers.

b) Which situation is more likely to happen: leftover cake or unhappy customers?You have to show the calculations to explain and support your answers. Randomguess will receive 0 mark.4-

5-6-7Supplier A and Supplier B produce two types of parts: simple parts and complexparts. In particular, Supplier A produces 1000 simple parts and 1000 complex parts,and Supplier B produces 1600 simple parts and 400 complex parts. All these partsare evaluated for conformance to specifications (i.e., defective or not). The proportions of defective parts of each type are shown in the following table.Number of defective simplepartsNumber of defective complexpartsTotalSupplier A21012Supplier B4610

a) Given all the parts by Suppliers A and B, what is the probability that a part conforms to specifications (i.e., non-defective)?b) What is the probability that a part conforms to specifications given that this partis a complex part?!8-

raphical!Presentations.!!!""# %&'!()!!"# !!"# %ℎ!"# %&'!!"# %&"!"'( !"# %!&!!"# %&"!"'(! !!"# %&!!"!!"# % !!"# !! !! !!!!! ! ials:!!!!!!!! ! !!! 11! ! 1!!!! –!!!!! !! ! ! ! !!""!!Sample!Variance:!!!!" ! !!! !!! !!!! ! ! !!!!!! !!!!Binomial!Probability!Function:!! ! ! ! ! !!! !Expected!Value!for!the!Binomial!Distribution:!!! ations:!!!!! !!! !! !!!!!!!! !!Addition!Rule:!! ! ! ! ! ! ! ! ! ! !Conditional!Probability:!! ! ! ! ! !! ! !The!Multiplication!Rule:!! ! ! ! ! ! ! ! !Variance!for!the!Binomial!Distribution:!!!! dard!Normal!Distribution:!!! ! !!!1

bow01838 appA p852-876.qxd86011/20/0910:13 AMPage 860Appendix ATA B L E A . 3Statistical TablesCumulative Areas under the Standard Normal 470.4641

bow01838 appA p852-876.qxd11/20/0910:13 AMPage 861Appendix ATA B L E A . 3861Statistical TablesCumulative Areas under the Standard Normal Curve 9890.999920.999950.99997

bow01838 appA p852-876.qxd11/20/0910:13 AMPage 853Appendix ATA B L E A . 1Statistical TablesA Binomial Probability Table:Binomial Probabilities (n between 2 and 6)n!2x 70.65.60.55.50n!3x .0625.95.90.85.80.75.70.65.60.55.500123456x 43210x 65.60.55.50n!6x 3210pn!5x x pn!4x 210543210x 65.60.55.506543210x (table continued)853

Answer KeyTestname: C215COORDINATIONMIDTERMMCQF171) D2) C3) D4) D5) D6) A7) A8) A9) A10) A11) C12) B13) D14) B15) C16) A17) B18) A19) D20) B5

3) Professor Hardtack chose a sample of 7 students from his statistics class of 35 students by picking every student who was wearing red that day. Which kind of sample is this? A) Simple random sample B) Judgment sample C) Systematic sample D) Convenience sample 3) 4) The dis

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