Statistics question and answers for July 07, 2023
- Q Confidence intervals for the meanSuppose you are a researcher in a hospital. You areexperimenting with a new tranquilizer. You collect data from arandom sample of 10 patients. The period of...
- Q Is the following statement true or false? Give your answer andbriefly explain it.\"A research study’s sample can be another research study’spopulation.\"
- Q For this problem, carry at least four digits after the decimalin your calculations. Answers may vary slightly due torounding.The National Council of Small Businesses is interested in theproportion of small...
- Q 1. A sample of 40 runners will be used to compare two newroutines for stretching. The runners will be randomly assigned toone of the routines which they will follow for...
- Q The table below gives the number of hours five randomly selectedstudents spent studying and their corresponding midterm examgrades. Using this data, consider the equation of the regressionline, yˆ=b0+b1x, for predicting...
- Q 2. Suppose that you are waiting for a friend to call you andthat the time you wait in minutes has an exponential distributionwith parameter λ = 0.1. (a) What is...
- Q There are 32 games played in the first round of the NCAAbasketball tournament. Joe enters a pool where you choose thewinner of each game. He knows nothing about basketball and...
- Q Solve the problem.The State Association of Retired Teachers has recently taken flakfrom some of its members regarding the poor choice of theassociation's name. The association's by-laws require that morethan 60...
- Q it took 85 wsu students an average of 36 minutes to commute tocampus( with a standard deviation of 3.5 minute ). at the 95%confidence level, construct a confidence interval within...
- Q a) 10 children are to be divided into an A team and a B team of5 each. The A team will play in one league and the B team inanother....
- Q . A web-based algorithm classifies emails as spams or no-spam ata success rate of 70% of detecting a spam. A. Find a 95% confidenceinterval for the number of spam emails...
- Q When examining a plot of means for a two-way ANOVA, what shouldyou conclude if the two lines completely overlap and have zeroslope?please do not guess, if you do not know...
- Q 6. Suppose that you choose a student at random,and let the random variable “H†represent the student’s studyingtime (in hours) last week. Suppose that “H†has a uniformdistribution on the...
- Q Explain the importance of understanding the dispersion of a setof scores in addition to the average score. Give one example fromthis simulation and one example you can envision.
- Q Your foreman claims that tree planting is a job for youngpeople. He further claims that 3/4 of tree planters are below theage of 21. You think he's exaggerating and the...
- Q ScenarioOffice Equipment, Inc. (OEI) leases automatic mailing machinesto business customers in Fort Wayne, Indiana. The company built itssuccess on a reputation of providing timely maintenance and repairservice. Each OEI service...
- Q Below are two judges’ rankings of bands at a marching bandcompetition. Calculate the Covariance, Coefficient of Correlation,the Least Squares Equation and the Coefficient of Determination.Also, use your equation of calculate...
- Q An investigator compares the durability of two differentcompounds used in the manufacture of a certain automobile brakelining. A sample of 256 brakes using Compound 1 yields an averagebrake life of...
- Q The following data were obtained in a study of the relationshipbetween diastolic blood pressure (Y) and age (X) for boys 5 to 13years old.X581171312126Y6367746475699060Fit a simple linear regression model to...
- Q According to national data, 20.7% of burglaries are cleared witharrests. A new detective is assigned to six different burglaries.What is the probability that at least one of them is cleared...
- Q Let the following sample of 8 observations be drawn from anormal population with unknown mean and standard deviation: 16, 21,12, 23, 25, 26, 22, 17. [You may find it useful...
- Q Randomly selected students participated in an experiment to testtheir ability to determine when one minute​ (or sixty​ seconds) haspassed. Forty students yielded a sample mean of 57.5 seconds.Assuming that sigmaequals9.2...
- Q 6) I took a random sample of people from the 2000 U.S.Census and recorded the incomes. The sample size was n = 30 (withreplacement). The average of the sample was...
- Q 3).A political poll estimates that 48% of Democratvoters will vote for Elizabeth Warren in the presidentialprimaries. They provide a \"margin of error\" of 3 percentage points,which leads to a 95%...
- Q In a packing plant, one of the machines packs jars into a box. Asales rep for a packing machine manufacturer comes into the plantsaying that a new machine he is...
- Q A marketing company based out of New York City is doing well andis looking to expand internationally. The CEO and VP of Operationsdecide to enlist the help of a consulting...
- Q Pollsters at Quinnipiac University surveyed 751 likely New Yorkvoters and found out that 368 of 751 are going to vote forCandidate A rather than Candidate B.At the 95 percent confidence...
- Q The following time series shows the sales of a particularproduct over the past 12 months.MonthSales1105213531204105590612071458140910010801110012110Use α = 0.5 to compute the exponential smoothingforecasts for the time series. (Round your answers...
- Q 4) Educators introduce a new math curriculum and measure45 students' scores before and at the end of the academic yearusing an exam widely believed to accurately measure students'understanding. The average...
- Q In a study of jury behavior, two samples of participants wereprovided details about a trial in which the defendant was obviouslyguilty. Although group 2 received the same details as group...
- Q 5) Explain the differences between the populationdistribution, the distribution of a sample, and a samplingdistribution. Describe each of these in a single context of yourchoosing.
- Q 1.    T or F If a population is normallydistributed, the sampling distribution of sample means willalso always be normally distributed2.   If a population is not normally distributedwhen will the sampling...
- Q For this problem, carry at least four digits after the decimalin your calculations. Answers may vary slightly due torounding.In a random sample of 534 judges, it was found that 288...
- Q A highway department is studying the relationship betweentraffic flow and speed. The following model has beenhypothesized:y = β0 +β1x + ε wherey = traffic flow in vehicles per hourx =...
- Q Consider arranging the letters of FABULOUS.(a). How many different arrangements are there?(b). How many different arrangements have the A appearinganywhere before the S (such as in FABULOUS)?(c). How many different...
- Q Consider the following time series data.Week123456Value181216101715Develop the three-week moving average forecasts for this timeseries. (Round your answers to two decimal places.)WeekTime SeriesValueForecast118212316410517615Compute MSE. (Round your answer to two decimal places.)MSE...
- Q The general fund budget (in billions of dollars) for a U.S.state for 1988 (period 1) to 2011 (period 24) follows.YearPeriodBudget($ billions)198813.03198923.29199033.56199144.41199254.46199364.61199474.65199585.15199695.341997105.661998116.011999126.202000136.482001146.752002156.562003166.782004177.082005187.652006198.482007208.572008218.762009228.532010238.332011248.76Develop a linear trend equation for this time series to...
- Q The null and alternative hypotheses are given. Determine whetherthe hypothesis test is left-tailed, right-tailed, or two-tailed andindicate the parameter(s) being tested.a.) ?0: ?1 = ?2 ?? ?1: ?1 > ?2Â Â b.)...
- Q Annual income: The mean annual income for people in a certaincity (in thousands of dollars) is 41, with a standarddeviation of 35. A pollster draws a sample of 91 people...
- Q Please solve using a TI-84 plus.Conclusions. In Exercises 9-12, refer to theexercise identified. Make subjective estimates to decide whetherresults are significantly low or significantly high, then state aconclusion about the...
- Q A patient is tested for cancer. This type of cancer occurs in 5%of the population. The patient has undergone testing that is 90%accurate and the results came back positive. What...
- Q 1. Data on students in liberal arts colleges in the U.S. wascollected, and the average cost per student was recorded for eachschool. The following five-number summary was calculated for thisdata...
- Q At a fashion retailer, there are multiplecashiers providing checkout service to customers simultaneously. Onaverage, customers arrive at the checkout area every 6 minutes. Thestandard deviation of the inter-arrival time is...
- Q Brokerage Satisfaction with Trade Price Satisfaction with Speedof Execution Overall Satisfaction with Electronic TradesBrokerageSatisfaction with Trade PriceSatisfaction with Speed of ExecutionOverall Satisfaction with Electronic TradesAA3.43.43.5BB3.23.33.4CC3.13.43.9DD2.93.63.7EE2.93.22.9FF2.53.22.7GG2.63.82.8HH2.43.83.6II2.62.62.6JJ2.32.72.3KK3.74.04.0LL2.52.52.5MM3.03.04.0NN4.01.02.0a. Develop an estimated regression equation...
- Q Much of Trail Ridge Road in Rocky Mountain National Park is over12,000 feet high. Although it is a beautiful drive in summermonths, in winter the road is closed because of...
- Q Problem 2.You pay 5$ /round (nonrefundable) to play the game of rolling apair of fair dice.If you roll an even sum, you lose, no pay off. If you roll anodd...
- Q Using R-studio2. Consider an experiment where we flip a fair coin sixtimes in a row, and i is the number of heads tossed:           a.        Calculate theprobability mass function for i =...
- Q Below is a data table from a survey of 12 random car owners thatwere asked about their typical monthly expenses in dollars ongasoline.210 160 43 255 176 135 221 359...
- Q We have a bag filled with 201 marbles, of which 100 of them areblue and 101 of them are red. Every turn, we remove 2 marbles fromthe bag. If the...
- Q Using the Newsboy Model1.Needless Markup (NM), a famous “high end†department store,must decide on the quantity of a high-priced woman’s handbag toprocure in Spain for the coming Christmas season. The...
- Q The data in BUSI1013 Credit Card Balance.xlsx is collected forbuilding a regression model to predict credit card balance ofretail banking customers in a Canadian bank. Use this data toperform a...
- Q The average number of words in a romance novel is 64,419 and thestandard deviation is 17,160. Assume the distribution is normal.Let X be the number of words in a randomly...
- Q ABC Corporation has 350 employees. The distribution of numberof sick days per employee per year for the population of 350employees is not highly skewed and has a mean of 12...
- Q Facebook penetration values (the percentage of a country’spopulation that are Facebook users) for 15 randomly selectedcountries are: 52.56, 33.09, 5.37, 19.41, 32.52, 41.69, 51.61,30.12, 39.07, 30.62, 38.16, 49.35, 27.13, 53.45,...
- Q In a study of the effectiveness of certain exercises in weightreduction, a group of 16 persons engaged in these exercises forthree months and showed the weights, in pounds, before exercises(X)...
- Q This study investigates the hours per month spent on theInternet by U.S. residents, age 18 to 24. The sample results are:n= 75, x-bar=28.5, and s=23.1 . We are to construct...
- Q The effectiveness of a blood-pressure drug is beinginvestigated. An experimenter finds that, on average, the reductionin systolic blood pressure is 20.7 for a sample of size 464 andsample standard deviation...
- Q Consider an i.i.d. random sample of size 3 denoted by ?1,?2, ?3from the same population, where the mean ? and variance ? 2 areunknown. Suppose that you have the following...
- Q Temperature98.7498.5497.8798.1299.6497.8498.9298.3398.8397.8997.4299.2797.8897.8798.3398.0996.897.997.397.48Normal body temperature? Arandom sample of 20 healthy adults was collected and their bodytemperatures were measured in degrees Fahrenheit. The data can befound in an excel file Body withvariable name...
- Q 1. Based on historical data, your manager believes that 31% ofthe company's orders come from first-time customers. A randomsample of 146 orders will be used to estimate the proportion offirst-time-customers....
- Q A magazine published data on the best small firms in a certainyear. These were firms which had been publicly traded for at leasta year, have a stock price of at...
- Q A corporation randomly selects 150 salespeople and finds that​66% who have never taken a​ self-improvement course would like sucha course. The firm did a similar study 10 years ago in...
- Q Roller coaster ride: A roller coaster is being designed thatwill accommodate 60 riders. The maximum weight thecoaster can hold safely is 12,000 pounds. According to the NationalHealth Statistics Reports, the...
- Q Information about the proportion of a sample that agrees witha certain statement is given below. Use StatKey or other technologyto estimate the standard error from a bootstrap distributiongenerated from the...
- Q Two random samples are taken, one from among UVA students andthe other from among UNC students. Both groups are asked ifacademics are their top priority. A summary of the sample...
- Q The population of weights of a particular fruit is normallydistributed, with a mean of 727 grams and a standard deviation of20 grams. If 2 fruits are picked at random, then...
- Q 1. Consider these situations. Which ones do you thinkthe trend will be linear? Explain.a) We measure the height (x) and armspan (y) of a number of UCLAstudents.b) We collect data...
- Q The firearms manufacturer that sells its firearms to the localsheriff’s department has 2000 used firearms to sell. Each usedfirearm has a 13% probability of needing major mechanical repairs.You randomly select...
- Q A population of values has a normal distribution withμ=77.7μ=77.7 and σ=35.8σ=35.8. A random sample of size n=240n=240is drawn.Find the probability that a single randomly selected value isbetween 74.2 and 82.6....
- Q According to statistics reported on news source, a surprisingnumber of motor vehicles are not covered by insurance. Sampleresults, consistent with the news report, showed 34 of 200 vehicleswere not covered...
- Q A school counselor has been working with a group of six-graderswith special needs. She hypothesized that students like her groupmay have higher depression scores compared to the national averagefor six-graders....
- Q find the Z score associated with the following tail probabilities:1. .0250
- Q A recent study found that 85​% of​ breast-cancer cases aredetectable by mammogram. Suppose a random sample of 13 women withbreast cancer are given mammograms. Find the probability that allof the...
- Q Sports Score Hot Line Calls (Optional) SportsScores Hot Line receives, on the average, 11 calls per hourrequesting the latest sports scores. The distribution is Poisson innature. For any randomly selected...
- Q The probability that a male will be​ color-blind is 0.046. Findthe probabilities that in a group of 53 ​men, the following will betrue. a. Exactly 5 are​ color-blind. b. No...
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