Statistics question and answers for July 21, 2023
- Q Question 1: Below is a dataset for a sample of 33countries with indicators of Obesity Prevalence and GDP Per Capitafor each country. How much variance in Obesity Prevalence isexplained by...
- Q During a study, individuals were asked to rate a producton a scale of 1-5. From the following data, help the researcherdetermine whether any significant differences exist in opinionsamong individuals from...
- Q Last year, 46% of business owners gave a holiday gift to theiremployees. A survey of business owners indicated that 30% plan toprovide a holiday gift to their employees. Suppose the...
- Q Suppose we are doing a study on the proportion of people whohave texted while driving. We will use a 90% confidence interval.We need to know what sample size to use...
- Q We are interested to see whether thelevel of the minimum wage affects employment. In order to studythis issue they got data from a random sample of 330 Californiafast food restaurants...
- Q 4. A woman who smokers during pregnancy increase health risks tothe infant so that it is known that about 20% (1/5) of femalesmokers quit smoking during pregnancy. Suppose that a...
- Q One of the leading television providers has estimated thefollowing demand equation after analyzing 36 regional markets:  Q =  + 25,000 – 45P +20A + 25Pc - 30Ac + 110 I  (12000)...
- Q Chicago is a group dice game that requires no skill. Theobjective of the game is to accumulate points by rolling certaincombinations (GamezBuff, 2017). How do you play Chicago? There areeleven...
- Q he mayor of a town has proposed a plan for the construction ofan adjoining bridge. A political study took a sample of 1000 votersin the town and found that 57%...
- Q Two events ?1 and ?2 are defined on the same probability spacesuch that: ?(?1 ) = 0.7 , ?(?2 ) = 0.5 , and ?(?1 ??? ?2 ) = 0.3.a)...
- Q The professor would also like to know whether viewing thepresidential debate would influence students’ intention to vote andrandomly assigns students to one of two groups. Group one viewedthe last presidential...
- Q A professor of business at a local college wanted to determinewhich of his two methods of teaching statistics resulted in bettergrades. He randomly selected 30 students from his current classesand...
- Q A fitness instructor wants to understand the relationshipbetween her heart rate during a workout and the calories burned perminute during the workout. She recorded these two measurements overthe course of...
- Q The following tablewas presented in an article summarizing a study to compare a newdrug to a standard drug and to a placebo.Characteristic*New DrugStandard DrugPlacebopAge, years45.2 (4.8)44.9 (5.1)42.8 (4.3)0.5746% Female51%55%57%0.1635Annual Income,$000s59.5...
- Q Find the following probability for a standard normal randomvariable, P(Z ≥ -2.16 )
- Q A professional sports league claims that the average age ofplayers in the league is 28 years old. A random sample of 20players in the league was selected, and their ages...
- Q In the results of a survey of 395 teaching university facultyand 266 research university faculty. Of the teaching universityfaculty, 224 said they were very satisfied with their jobs, whereas126 of...
- Q Determine confidence intervals for each of the following:Sample StatisticSampleSizeConfidenceLevelConfidenceIntervalLowerBoundaryUpperBoundaryMean: 150Std. Dev.: 3020095%Percent: 67%30099%Mean: 5.4Std. Dev.: 0.525099%Percent: 25.8%50099%
- Q A teacher believes that the third homework assignment is a keypredictor in how well students will do on the midterm. Let xrepresent the third homework score and y the midterm...
- Q A textile manufacturer wanted to know if the breaking load(kg/25 mm width) is greater for unabraded fabrics versus fabricsthat were abraded. Abraded fabrics are produced by the use offriction to...
- Q Broome county’s health department hires you to analyze data onCOVID-19. They come to you with data from your county’s localhospitals, and tell you that they have randomly tested 147 peopleshowing...
- Q A police department is interested in learning if men or women dobetter as a result of their training course. They administer askills test to 60 newly trained officers: 30 males...
- Q Roll a pair of dice (one is red and the other is green). Let Abe the event that the red die is 4 or 5. Let B be the event...
- Q A teacher believes that the third homework assignment is a keypredictor in how well students will do on the midterm. Let xrepresent the third homework score and y the midterm...
- Q Complete a simple linear regression on the following data froma random survey of a random sample of free throws made out of100:Age (inyears)Â Â Â Â Â Â Â Â Â # ofFree throws made (out of 100)20Â 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 3022Â 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 3626Â 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 2828Â 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 2033Â 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 2533Â 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 1538Â 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 1042Â 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 2549Â 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 854Â 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 1555Â 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 2255Â 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 1857Â 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 3560Â 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 12Provide...
- Q A researcher found that there is an increase in undergraduatestudents doing part- time jobs to partially support their expenses.It is assumed that 55% of UWindsor students do part time jobs...
- Q Based on a poll, 80% of airline passengers slept or restedduring a long flight. Let the random variable x represents thenumber of airline passengers among the selected six who slept...
- Q how do you calculate 95% confidence interval using populationvariance
- Q The following data contains the characteristics of 30motorcycles that will be analyzed using a Regression model. Youwill study the relationship between a motorcycles' engine power(measured in horsepower) and the motorcycles'...
- Q For the following data:Find the regression equation for predicting Y fromX (Provide your work).Use the regression equation to find a predicted Y foreach X.Find the difference between the actual Y...
- Q A professor hypothesizes that students who earn a C or betterin her class spend more time outside of class studying thanstudents who receive a D or F. She collects the...
- Q Is there a relationship between body fat and resting rate. Testat alpha =.05 test the significance of the relationship betweenbody fat and resting rate using table I or the traditional...
- Q There are three types of balls in a box: 5 red, 3 blue and 2green. You draw 3 balls at once (without replacement) from this boxand record: Y1=the # of...
- Q 1. The length of human pregnancies from conception to birthvaries according to a distribution that is approximately Normalwith mean 266 days and standard deviation 16 days. About 68% of allpregnancies...
- Q The Higher Education Research Institute at UCLA collected datafrom 203,967 incoming first-time, full-time freshmen from 270four-year colleges and universities in the U.S. 71.7% of thosestudents replied that, yes, they believe...
- Q Given the following distribution, is it a Binomial distributionor approximately a Binomial distribution ? Please justify youranswer (prove or disprove) .XÂ Â 0 1 Â Â 2 Â Â 3 Â Â 4P(X) 0.240 0.412 0.265...
- Q Gaussian Mixture Model:the initial means and variances of two clusters in a GMM are asfollows: ?(1)=−3, ?(2)=2, ?21=?22=4. Let ?1=?2=0.5.Let ?(1)=0.2, ?(2)=−0.9, ?(3)=−1, ?(4)=1.2, ?(5)=1.8 be fivepoints that need to...
- Q An eating disorders clinic would like to evaluate theeffectiveness of a mindfulness training program on binge eatingdisorder (BED). A psychologist was therefore hired to conduct asmall study to examine the...
- Q An eating disorders clinic would like to evaluate theeffectiveness of a mindfulness training program on binge eatingdisorder (BED). A psychologist was therefore hired to conduct asmall study to examine the...
- Q A national survey conducted in 2005 on Canadian undergraduatestudents with a questioner asking them whether they do part-timejobs. 1250 students participated in the survey and 802 studentssaid they do part-time...
- Q Consider the following preferences and election problem. Let usassume that a president has to be elected. 4 candidates want tobecome a president, who are representing different politicalideologies: A is a...
- Q I would like to know how to solve this problem using POM orExcelAlan Resnik, a friend of Ray Cahnman, bet Ray $5 that Ray’s carwould not start 5 days from...
- Q Multiple ChoiceSelect the best answer from the available choices foreach question.1.  Which of the following is NOT part of thedefinition of a sample space S?•  S can be discrete or...
- Q Problem 11-15 (Algorithmic)Ocala Software Systems operates a technical support center forits software customers. If customers have installation or useproblems with Ocala software products, they may telephone thetechnical support center and...
- Q I want to see if there is a relation between makeup sales andthe age of people buying them on any given day at Sephora. 10people were randomly sampled.X-axis: 13, 14,...
- Q Amazon's third-largest market is the United Kingdom. In 2019,the employees at a local firm in London received their salary anddecided to spend a portion of it on making online purchases...
- Q Failure times of silicon wafer microchips. Researchers atNational Semiconductor experimented with tin-lead solder bumps usedto manufacture silicon wafer integrated circuit chips. The failuretimes of the microchips (in hours) were determined...
- Q The following table gives the data from a local school districton children's ages (x) and the reading level (y)Ages (in yrs.), x6789101112131415Reading level, y1.32.23.74.14.95.26.07.18.59.7a). Find the correlation coefficient (r) between...
- Q You are about to play a series of 9 chess games online againstan opponent called EliteChampion. The first to win 5 games wins theseries. (Ignore the possibility of a draw.)...
- Q True or False1) If the obtained sample data are in the critical region, thenwe could conclude that the data provide support for the nullhypothesis.2) If a researcher is predicting that...
- Q An instructor is interested in assessing students' typing speedin the class. He knows that the average at the university is 49word per minute (wpm) with a SD of 18 wpm....
- Q A random sample of 20 workers in a factory were asked to reportthe age of their car and how many miles the vehicle had on it. Acomputer printout resulted in...
- Q Choose a point at random from the unit square [0, 1] × [0, 1].We also choose the second random point, independent of the first,uniformly on the line segment between (0,...
- Q Use the Chi-Square option in the Nonparametric Tests menu toanswer the questions based on the following scenario. (Assume alevel of significance of .05 and use information from the scenarioto determine...
- Q USE R AND SHOW CODES!!1.a. There is a theorem that the ratios of blood types O, A, Band AB are 49:38:9:4,respectively. A research team, investigating a small communityand obtained the...
- Q Suppose the test scores for a college entrance exam are normallydistributed with a mean of 450 and a s. d. of 100.a. What is the probability that a student scores...
- Q what is ghe relationship between poisson and binomial disribution?what is the deffirence and connection between them?
- Q The president of theAmerican Insurance Institute wants to compare the yearly costs ofauto insurance offered by two leading companies. He selects asample of 15 families, some with only a single...
- Q Use the following table displaying 20 of the top (era-adjusted)grossing movies of all time, along with their Metacritic score (aweighted average of critics ratings), the amount of money theygrossed (weighted...
- Q Suppose we have the following annual sales data for anautomobile dealership:Year               Sales               Trend2009               121                   12010               187                   22011               165                   32012               134                   42013               155                   52014               167                   62015               200                   72016               206                   82017               221                   92018               231                10We want to forecast sales for 2019 and 2020 using either asimple...
- Q A machine puts liquid into bottles of perfume. The amount ofliquid put into each bottle, Dml, follows a normal distributionwith mean 25ml.Given that 15% of bottles contain less than 24.63mla.)...
- Q Sonic Youth is playing at Nasa and Geir is leaving. Kim Gordonis on Bass. On the album Goo Kim plays 11 songs, the total is 49minutes and 23 seconds. Kim...
- Q Suppose we have the following values on the number of customers(X) and the average profits (Y) for fifteen stores:Store                 Customers(X)         AverageProfits (Y)A                             161                             157B                             99                             93C                             135                             136D                             120                             123E                              164                             153F                              221                             241G                             179                             201H                             204                             206I                               214                             229J                               101                             135K                             231                             224L                              206                             195M                             248                             242N                             107                             115O                             205                             197Use the Spearman’s Rank Correlation test at the 0.05...
- Q The Apparel Company makes expensive polo-style men's and women'sshort-sleeve knit shirts at its plant in Jamaica. The productionprocess requires that material be cut into large patterned squaresby operators, which are...
- Q 1. You are excited because your new card game has arrived. Thisgame consists of 40 unique cards. What is the number of orderedsamples of 4 cards that can be drawn...
- Q The selling price of a new car is normally distributed with anaverage of $23090 and a standard deviation of $3060. a) Whatproportion of new cars will sell for more than...
- Q Jeff is willing to invest $6,000 in buying shares and bonds of acompany to gain maximum returns. From his past experience, heestimates the relationship between returns and investments made inthis...
- Q The table below summarizes data from a survey of a sample ofwomen. Using a0.010.01significance​ level, and assuming that the sample sizes of800800men and400400women are​ predetermined, test the claim that the...
- Q A random sample of 46 adult coyotes in a region of northernMinnesota showed the average age to be x = 2.01 years,with sample standard deviation s = 0.72 years. However,...
- Q A bank president claims that the median of debt-to-equity ratioof commercial loans provided is less than 5. A random sample of 15commercial loans is selected with the following values for...
- Q For this problem, carry at least four digits after the decimalin your calculations. Answers may vary slightly due to rounding.The National Council of Small Businesses is interested in theproportion of...
- Q Significance vs. meaningfulness:Provide an example of a finding that may be both statisticallysignificant and  meaningful.Provide an example of a finding that may be statisticallysignificant, but not meaningful.
- Q Two hundred students are each asked to compute 95% CIs for apopulation mean based on data they will collect. What is theapproximate probability that more than 190 of the CIs...
- Q Write your thoughts on this discussion.Hypothesis testing is a statistical tool useful for ascertaininginformation about a specific conclusion. Specifically, this type oftesting can help with understanding a data set (population)...
- Q Diagnosis Categoryaffective disorderscognitive disorderdrug-related conditions71286810591261110Conduct Tukey's HSD post hoc test to determine where there is adifference in the three groups.5% level of significance
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