Statistics question and answers for July 26, 2023
- Q Q12: The following data are from a study of therelationship between average consumption of saturated fat (ingrams) and cholesterol level (in milligram per hundred milliliters)of eight males:Subject12345678Fat consumption (x)5565503443587236Cholesterol level...
- Q Suppose that a long distance taxi service owns 4 vehicles. Theseare of different ages and have different repair records. Theprobabilities that, on a given day, each vehicle will be availablefor...
- Q Use the standard normal table to find the​ z-score thatcorresponds to the given percentile. If the area is not in the​table, use the entry closest to the area. If the...
- Q Lindsay is 30 years old and has a new job in web development.She wants to make sure that she is financially sound by the age of55, so she plans to...
- Q A computer consulting firm presently has bids out on threeprojects. LetAi = {awarded project i},fori = 1, 2, 3,and suppose thatP(A1) = 0.22,P(A2) = 0.25,P(A3) = 0.28,P(A1 ∩ A2) =...
- Q In a certain​ distribution, the mean is40with a standard deviation of5At least what fraction of the numbers are between the followingpair of​ numbers?30and 50
- Q There are 4 people in a room. What’s the probability that thereare two people born on the same day of the week? (Assume allbirthdays are independent and are uniformly distributed...
- Q A manufacturer knows that their items have a normallydistributed lifespan, with a mean of 5.3 years, and standarddeviation of 1.7 years. If 16 items are picked at random, 2% of...
- Q Suppose the heights of 18-year-old men are approximatelynormally distributed, with mean 68 inches and standarddeviation 3inches.(a) What is the probability that an 18-year-old man selected atrandom is between 67 and...
- Q The table below gives the number of hours spent unsupervisedeach day as well as the overall grade averages for seven randomlyselected middle school students. Using this data, consider theequation of...
- Q You want to know if Apple and Android phone users use differentmobile apps for social networking. You collect the followingdata.AppleAndroidFacebook11264Snapchat2989Instagram78103The null hypothesis for this chi-square test would be?How many degrees...
- Q The paired values represent the weights (carats) and prices(dollars) of randomly selected diamonds.Weight0.20.40.50.60.90.70.8Price61013541343175256052277260039. Compute the least squares regression line for the predictedprice for a given weight.40. Calculate the correlation coefficient...
- Q A recent national report states the marital status distributionof the male population age 18 or older is as follows: Never Married(32.8%), Married (54.2%), Widowed (2.7%), Divorced (10.3%). Thetable below shows...
- Q A report just came out that stated that 22.9% of all Americanssay that vanilla is their favorite ice cream, 23.4% say thatchocolate is their favorite, 8% favor butter pecan, 8.7%...
- Q researcher wishes to estimate the proportion of adults who have​high-speed Internet access. What size sample should be obtained ifshe wishes the estimate to be within 0.03 with 95​% confidence if​(a)...
- Q Suppose researchers have reported that the population mean for theannual salary of certified welders was $40,000, and the populationstandard deviation was $5200. A new survey of 200 welders wastaken, and...
- Q Two formulations of a certain coating, designed to inhibitcorrosion, are being tested. For each of eight peoples, half thepipe is coated with formulation A and the other half is coated...
- Q The VP of HR for a large company is interested in thedistribution of sick-leave hours for employees at the company. Arecent study revealed that the distribution was consistent with anormal...
- Q 10. According to a 2018 report, the mean amount of data used byall smartphone users with unlimited data plans was 4.87 GB permonth. A company would like to determine if...
- Q Consider the following data:Number of Deaths in the U.S. by Drug OverdoseYear   2000 2001 2002 2003 2004 2005 2006 20072008Deaths 17,046 17,511 14,317 13,372 17,767 14,526 11,155 18,65716,644Step 2 of...
- Q A researcher is evaluating whether a new intervention affectsthe average reported anxiety symptoms in a sample of 49 collegestudents. A survey from the previous semester found that thepopulation reported a...
- Q 1)An App developing company recently developed a new game that canbe played on the iPhones. The company wants to run a survey on thesatisfaction rate on the game. They randomly...
- Q Consider the following hypothesis test:H0: p ≥ 0.75Ha: p < 0.75A sample of 300 items was selected. Compute the p-valueand state your conclusion for each of the following sample results.Use  =...
- Q Suppose that, for students who are enrolled in college algebra,72 percent are freshman, 40 percent are female, and 25 percent arefemale and freshman. Your answers should be entered as decimals...
- Q Using excel with formularsfor binomial random variable X with n=10, p=0.3, plot its pdfand cdf; then simulate from it a sample of size N=2000, plot itshistogram (relative frequency), and cumulative...
- Q Give one example of analyses using hypothesis testing frameworkand identify a null and alternative hypothesis
- Q A simple random sample of size n is drawn from a population thatis normally distributed. The sample​ mean, x overbar​, is found tobe 115​, and the sample standard​ deviation, s,...
- Q Let ξ and η be independent of each other, ξ follows the poissondistribution, and η follows N (0,1).Prove that ξ + η is a continuous random variable
- Q A random survey of 100 students asked each student to select themost preferred form of recreational activity from five choices.Following are the results of the survey:Recreational choiceGenderBasketballBaseball/SoftballSwimmingJogging/RunningTennisTotalMale2159121360Female931151240Total308102725100Test if the choice...
- Q A survey of high school girls classified them by two attributes:whether or not they participated in sports and whether or not theyhad one or more older brothers.Older brotherParticipated In sportsTOTALYesNoYes12820No132740TOTAL253560Use...
- Q We interviewed two groups of 50 college students respectivelyfrom UIC and DePaul to know if they rather watch NFL Football vs.some other sport on Sunday.Actual DataUICDePaulRow TotalFootball152540Other Sport352560Total5050100Based on the...
- Q   In a study, people were observed for about 10 seconds in publicplaces, such as malls and restaurants, to          determinewhether they smiled during the randomly chosen 10-secondinterval.  The researchers observed          600people who were aged...
- Q To predict a bear’s weight, data was taken from54 anesthetized bears on theirage, gender (M=1, F=2), head width, necksize,  overall length, and chest size.ANOVAdfSSRegression6741937.3181Residual4744346.0152Total53786283.3333CoefficientsStandard ErrorIntercept-209.57539.453AGE    0.5260.225GENDER-12.18611.503HEADWTH  -0.4135.041NECK   3.8112.607LENGTH  -0.4630.914CHEST    9.4591.443Use above...
- Q A machine produces metal rods used in an automobile suspensionsystem. A random sample of 12 rods is selected and the diameter ismeasured. The resulting data, in mm, are shown here:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 3.11...
- Q Based on interviews with 82 SARS​ patients, researchers foundthat the mean incubation period was 4.7 ​days, with a standarddeviation of 14.6 days. Based on this​ information, construct a​95% confidence interval...
- Q Suppose a simple random sample of size n=41 is obtained from apopulation with mu=61 and sigma=19.(b) Assuming the normal model can be​ used, determine​P(x overbarx < 71.4).​(c) Assuming the normal...
- Q Using the following data (already sorted), use a goodness of fittest to test whether it comes from an exponential distribution. Theexponential distribution has one parameter, its mean, μ(which is also...
- Q The white \"Spirit\" black bear (or Kermode) Ursusamericanus kermodei, differs from the ordinary blackbear by a single amino acid change in the melanocortin 1receptor gene (MC1R).In this population, the gene...
- Q SURVIVAL ANALYSISQUESTION 1Indicate whether the following statement is true or false,please explain your answer in one sentence.(a)Â Â Â Â Â Â Â Â The survivalfunction can be expressed in terms of the cumulative hazard(b)Â Â Â Â Â Â Â Â The hazardrate in a...
- Q The Wall Street Journal reported that the age at first startupfor 25% of entrepreneurs was 29 years of age or less and the age atfirst startup for 75% of entrepreneurs...
- Q A person's blood glucose level and diabetes are closely related.Let x be a random variable measured in milligrams ofglucose per deciliter (1/10 of a liter) of blood. Suppose thatafter a...
- Q Hiroshi Sato, an owner of a sushi restaurant in San Francisco,has been following an aggressive marketing campaign to thwart theeffect of rising unemployment rates on business. He used monthlydata on...
- Q With regard to regression models, which of the followingstatements is correct?i) Linear restrictions on regression parameters cannot be testedusing an F-test.ii) The general-to-specific approach (also called “top-downâ€)starts with a model...
- Q Answer these parts to Objective number A2. What is the single most important advantage of the median asa measure of location?A. not affected by extreme outliersB. statistically efficientC. don’t have...
- Q People were polled on how many books the read the previous year.Initial survey results indicate that s=11.6 books.(a) How many subjects are needed to estimate the mean number ofbooks read...
- Q Question 4Which of the following time sequence is a weak stationary?Justify your answer!zt =at,whereat ∼i.i.d.(0,1)forallt∈R.zt =t+at,whereat ∼i.i.d.(0,1)forallt∈R.zt = A sin(t + B), where A is a random variable with a...
- Q Dr. Anderson is a mammalogist who studies deer mice. He istrying to improve his success in trapping female deer mice. Heconducts a study where he uses peanut butter vs. nutella...
- Q The manager of the service department of a local car dealershiphas noted that the service times of a sample of 15 new automobileshas a sample variance of S2 = 16....
- Q What is different about what the sign of a correlation (negativeor positive) tells us vs. the magnitude of the correlationcoefficient (i.e. how much r is greater than or less thanzero)?
- Q The weights of kittens have a symmetric shape with mean of 3.6pounds and a standard deviation of 0.4 pounds, answer each of thefollowing:a. What percent of kittens weigh between 2.8...
- Q Assume that a simple random sample has been selected from anormally distributed population and test the given claim. Useeither the critical value method or the P-value method asindicated. Identify the...
- Q A library system lends books for periods of 21 days. This policyis being reevaluated in view of a possible new loan period thatcould either lengthen or shorten the 21-day period....
- Q Assume that a simple random sample has been selected from anormally distributed population and test the given claim. Useeither the critical value method or the P-value method asindicated. Identify the...
- Q A.)Test whether mu 1μ >mu 2 at the alpha equals=0.05 level ofsignificance for the given sample data.Find the P valueFind the test statistical  for the hypothesisFind the lower and upper boundB.)...
- Q Let X1, X2, ..., Xn be a random sample from Exp(?). Find theMVUE of the median of this exponential distribution.
- Q Test the given claim about the means of two populations. Assumethat two dependent samples have been randomly selected fromnormally distributed populations. A test of abstract reasoning isgiven to a random...
- Q Suppose that the miles-per-gallon (mpg) rating of passenger carsis normally distributed with a mean and a standard deviation of35.9 and 2.5 mpg, respectively. [You may find it useful toreference the...
- Q Conduct a test at the a = 0.05 level of significance bydetermining (a) the null and alternative hypotheses (b) the teststatistic (c) the critical value, and (d) the P-value. Assume...
- Q An electronics company is looking to develop a regression modelto predict the number of units sold for a special running watch.Data is provided below:Sales (units)Price ($)Advertising ($)Holiday50010050Yes48012040Yes48511045No51010355Yes49010840No48810930No49610645YesCompile a spreadsheet for...
- Q In a waiting line situation, arrivals occur at a rate of 3 perminute, and the service times average 12 seconds. Assume thePoisson and exponential distributions.a.What is λ?   What is μ?b.Find...
- Q The breaking strength of yarn used in the manufacture of wovencarpet material is Normally distributed with 2.4 psi (pound-forceper square inch). A random sample of 16 specimens of yarn from...
- Q Based on past experience, a bank believes that 7% of the peoplewho receive loans will not make payments on time. The bank takes arandom sample of 200 recently approved loans.Find...
- Q 24)____________      An SAT prepcourse claims to improve the test scores of students. The                                    tableshows the scores for seven students the first two times theytook                    25)_____________    the verbal SAT. Beforetaking the SAT for...
- Q Descriptive analysis revealed that the mean Test 3 score of all63 students in Dr. Bills’s statistics courses was an 80. Similarly,the standard deviation for all students’ Test 3 scores was...
- Q Experiment 2: Hematocrit In the second experiment, you willdetermine hematocrit for all students in the class to answer theresearch question: Is there a difference in hematocrit between maleand female college...
- Q The distribution of GPA scores is known to be left-skewed. At alarge university, the administration is interested in learningabout the average GPA score of the undergraduate students. A simplerandom sample...
- Q A farmer has decided to use a new additive to grow his crops. Hedivided his farm into 10 plots and kept records of the corn yield(in bushels) before and after...
- Q STRAIGHT FROM THE BOOKRoulette In the casino game of roulette there is a wheelwith 19 black slots, 19 red slots, and 2 green slots. In the game,a ball is rolled...
- Q write an essay in response to the merits and demerits of gradingon a bell curve.Use the following articlehttps://cubelogger.wordpress.com/2011/07/15/the-merits-and-demerits-of-grading-on-a-bell-curve/
- Q how is the interpretation of slopes in multiple regression modeldifferent from simple regression slope?How repeated measures ANOVA control for individualdifferences?
- Q （1） A study reported that 55% of Americans say parents are doingtoo much for their young adult children these days. The smallestsample size for which the sampling distribution of sampleproportion...
- Q According to the website Rotten Tomatoes, the movie “The PeanutsMovie†received 92 critic reviews. Of these 92 reviews, 79 of themwere positive reviews (a fresh tomato) and 13 of them...
- Q Identify the DistributionSelect the Distribution that best fits the definition ofthe random variable X in each case.Question 1) In a single game of (American) roulette, asmall ball is rolled around...
- Q A researcher wishes to​ estimate, with 95​% ​confidence, thepopulation proportion of adults who think the president of theircountry can control the price of gasoline. Her estimate must beaccurate within 44​%...
- Q Eastman Publishing Company is considering publishing anelectronic textbook about spreadsheet applications for business.The fixed cost of manuscript preparation, textbook design, andweb-site construction is estimated to be $160,000. Variableprocessing costs are...
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