Statistics question and answers for July 11, 2023
- Q Two different types of polishing solution are being evaluated for possible use in a tumble-polish operation formanufacturing intraocular lenses used in the human eye followingcataract surgery. Three hundred lenses were...
- Q Data from a sample of 10 pharmacies are used to examine therelationship between prescription sales volume and the percentageof prescription ingredients purchased directly from the supplier.The sample data is given...
- Q Finally, the researcher considersusing regression analysis to establish a linear relationshipbetween the two variables – hours worked per week andincome earned per year.c) Estimate a simple linear regression model and...
- Q Are you more likely to purchase a brand mentioned by an athleteon a social media site? According to Catalyst Digital FanEngagement survey, 53% of social media sports fans would make...
- Q COINTOSSES In a large class of introductory Statisticsstudents, the professor has each student toss a coin 16 times andcalculate the proportion of his or her tosses that were heads. Thestudents...
- Q 1 paragraph on why are z-scores so important instatistics?
- Q Consider the following game: 3 players can contribute or not toa public good. For the public good to be successfully created, 2contributions are necessary (a third contribution would not addanything...
- Q Daniel measures thevolume of several raindrops at Jonestown as 0.6 ml, 0.65 ml, 0.7ml, 0.75 ml, 0.8 ml and 0.85 ml; and comes to believe that theraindrops at Jonestown are...
- Q For the data below perform a Wilcoxon Rank-Sum Test by-handshowing all steps (you may verify your results using software ifyou want to but it’s not required).Two treatments were developed for...
- Q The correlation coefficient r is a sample statistic.What does it tell us about the value of the population correlationcoefficient Ï (Greek letter rho)? You do not know how tobuild the...
- Q Waterbury Insurance Company wants to study the relationshipbetween the amount of fire damage and the distance between theburning house and the nearest fire station. This information willbe used in setting...
- Q Random samples of size n = 60 were selected from abinomial population with p = 0.2. Use the normaldistribution to approximate the following probabilities. (Roundyour answers to four decimal places.)(a)    P(p̂...
- Q A car company claims that their Super Spiffy Sedanaverages 31 mpg. You randomly select 8 Super Spiffies from localcar dealerships and test their gas mileage under similarconditions.You get the following...
- Q Consider the following measurements of blood hemoglobinconcentrations (in g/dL) from three human populations at differentgeographic locations:population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ]population2 = [ 15.66, 15.91, 14.41,...
- Q The Pew Research Center Internet Project conducted a survey of857 Internet users. This survey provided a variety of statistics onthem. If required, round your answers to four decimal places.(a) The...
- Q Suppose you work at a local state hospital. In 2015, theinfectious disease department of the hospital was operating at maxcapacity. Your supervisor has given you the job of presenting tothe...
- Q It has been suggested that pets provide a supportive socialfunction in buffering adverse response to physiological stressors.A sample of 20 pet owners were subjected to stressors with theirpets present and...
- Q 1) You conduct a stepwise regression according to the followingprocedure:Step1: HS_SCI onlyStep2: HS_SCI andHS_ENGStep3: ...
- Q Consider the following measurements of blood hemoglobinconcentrations (in g/dL) from three human populations at differentgeographic locations:population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ]population2 = [ 15.66, 15.91, 14.41,...
- Q A manufacturing process produces semiconductor chips with aknown failure rate of 6.3%. Assume that the chip failures areindependent of one another. You will be producing 2,000 chipstomorrow.e. Find the probability...
- Q Consider the following measurements of blood hemoglobinconcentrations (in g/dL) from three human populations at differentgeographic locations:population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ]population2 = [ 15.66, 15.91, 14.41,...
- Q ObsIncomeGPA11.513.1823.312.8531.811.8442.424.6151.723.1861.633.9870.981.3581.042.7891.553.74102.752.87Calculate Pearson’s r correlation coefficient?What does the result you obtain say? (10points)Now calculate whether the result obtained is statisticallysignificantState the Null and Alternative hypotheses? (5 points)Establish your decision criteria and...
- Q 7) (1 point) A Washington Post article from 2009 reported that\"support for a government-run health-care plan to compete withprivate insurers has rebounded from its summertime lows and winsclear majority support...
- Q 7) (1 point) A package delivery service wants to compare theproportion of on-time deliveries for two of its major serviceareas. In City A, 251 out of a random sample of...
- Q 8) (1 point) A researcher is interested in whether the number ofyears of formal education is related to a person's decision tonever smoke, continue to smoke, or quit smoking cigarettes....
- Q 8) (1 point) Melanism in Moths. Melanism is theprocess by which animals produce melanin to darken body tissues andproduce color variation. Researchers at Oxford University suspectedincreased levels of pollution in...
- Q (1 point) Fireworks. Last summer, Survey USApublished results of a survey stating that 229 of 416 randomlysampled Kansas residents planned to set off fireworks on July 4th.Round all results to...
- Q The data below are the densities of clover flowers in a lawn(flowers/m2) for 20 quadrat samples. For this data set create afrequency table and histogram, and determine the sample size,...
- Q Suppose the mean score on the first exam is a 60 out of 100. Iwould like to curve the exam to force the mean score to be an 80out of...
- Q You work for the Colorado Chapter of the Mutual UFO Network(MUFON) that is responsible for compiling all UFO sightings in theUS. You are interested in whether there is a difference...
- Q Independent trials, each of which is a success with probabilityp, are successively performed. Let X denote the first trialresulting in a success. That is, X will equal k if the...
- Q Consider a random sequence x1,…,x7 of 7 numbers each chosen fromthe set {1,2,3,…,10} with replacement. What is the probability thatmax{x1,…,x7} occurs exactly once in x1,…,x7?
- Q On average, a student takes 100 words/minute midway through anadvanced court reporting course at the American Institute of CourtReporting. Assuming that the dictation speeds of the students arenormally distributed and...
- Q 1 - A 95% confidence interval for a populationproportion was constructed using a sample proportion from a randomsample. Which of the following statements are correct? Select allthat apply.A) We don't...
- Q Table 1:  Weight Suspended in kgLukeReyAnikinWeek101035Week2101041Week3152045Week4202048Week5254050Week6304053Week7358055Week8408061Week94516070Week105016074Week115532077Week126032080Table 2: Number of items SuspendedRocksKittensDaggersWookiesLuke2515303Rey305452Anikin2525405Q2.  Perform a simple linear regression on all threekid's progress.  Hint: time is the x variableand weight of stone suspended is the yvariable.Perform...
- Q True or False(a) For any distribution, the sample data, Y1, . . . Yn, isalways a sufficient statistic.(b) Biased estimators are always preferred to unbiasedestimators.(c) Maximum likelihood estimators are always...
- Q Let N1 , N2 , N3 follow a trinomial distribution with parametersn, assume that n follows a Poisson distribution with parameter λ> 0. Also assume that, conditionally on N, the...
- Q Random sample 2 numbers from {1,3,5,7} with Replacement.Write down every sample means and sample variances about allpossible samples.Write down Mean of sample means and Variance of samplemeans.All answers should be...
- Q A sociologist wishes to see if it is true that for acertain group of professional women, the average age at which theyhave their first child is 28.6 years. A random...
- Q A recent survey of 200 companies showed that 8 had afemale as the head of the company. A year ago, a survey of 200companies showed that 6 had a female...
- Q The editor of a text publishing company in USA is trying todecide whether to publish a proposed business statistics book.Information on previous textbooks published indicated that 10% arehuge success, 20%...
- Q Suppose that whether or not it rains today depends on previousweather conditions through the last two days. Specifically, supposethat if it has rained for the past two days, then it...
- Q Test whether there is a difference between two groups.45 out of 71 in group 156 of 99 Group 2p̂1 =p̂2 =p̂ =Test Statistic =p-value =
- Q There are 10 CS students, 12 CPRE students and 8 SE students, toform a committee.(a) How many different committees of size 3 can you pick if youneed one representative from...
- Q Are professional jobs held in the computing industryindependent of the number of years a person has worked in theindustry? Suppose 246 workers are interviewed. Use the results toobtained to determine...
- Q The following set of data represents the distribution of annualsalaries of a random sample of100managers in a large multinationalcompany:Salary range (£` 000' )Managers20 but under 2525 but under 3030 but...
- Q A common criticism of surveys is that they poll only avery small percentage of the population and therefore cannot beaccurate. Is a sample of only 1961 adults taken from a...
- Q The daily exchange rate for currencies fluctuates on a dailybasis due to many economic conditions affecting the business cycle.The exchange rate for a twelve month period in the year 2004between...
- Q A doctor wanted to determine whether there is a relation betweena​ male's age and his HDL​ (so-called good) cholesterol. The doctorrandomly selected 17 of his patients and determined their HDLcholesterol....
- Q A corporation owns several companies. The strategic planner forthe corporation believes amount spent on advertising can to someextent be a predictor of total sales. As an aid in long termplanning,...
- Q We have a one parameter statistical model.Probability model: {f(x;θ)=x/(2θ^2), θ>0 and x is an elementof (0, θ].Sampling model:X=(X1,...Xn) is random.By stating likelihood and log likelihood functions, calculatethe maximum likelihood estimator...
- Q Sulfur compounds cause “off-odorsâ€in wine, so winemakers want toknow the odor threshold, the lowest concentration of a compoundthat the humannose can detect. The odor threshold for dimethyl sulfide (DMS) intrained...
- Q 13) A study published in 2008 in the American Journal ofHealth Promotion (Volume 22, Issue 6) by researchers at theUniversity of Minnesota (U of M) found that 124 out of...
- Q The blood platelet counts of a group of women have a​bell-shaped distribution with a mean of 259.5 and a standarddeviation of 66.4. ​(All units are 1000 ​cells/mu​L.) Using theempirical​ rule,...
- Q It the​ 1980s, it was generally believed that congenitalabnormalities affected about 7​% of a large​ nation's children.Some people believe that the increase in the number of chemicals inthe environment has...
- Q It is thought that prehistoric Indians did not take their besttools, pottery, and household items when they visited higherelevations for their summer camps. It is hypothesized thatarchaeological sites tend to...
- Q Assume that you have done two different studies on thesame sample of people.Explain how you could use z-scores to compare the datain one study with the data of the other.What...
- Q The random variable x is normally distributed with a mean of 68and a standard deviation of 4. Find the interquartile range (IQR)?Use R.
- Q A company has two machines that produce widgets. The new machineproduces 75% widgets and the older machine produces 25% widgets.Further, the new machine produces 10% defective widgets, while theolder machine...
- Q Investigate the effect of the term on simple interest amortizedauto loans by finding the monthly payment and the total interestfor a loan of $17,000 at978%interest if the term is the...
- Q LECTURE OF THE OPERATIONS RESEARCH IYou will randomly generate a linear programming model.• Objective function should be a maximization problem.• Model must have exactly three decision variables.• Model must have...
- Q Assume that a father of a teenager in the US is concerned aboutthe number of crimes in schools that involve guns. After someinvestigation, he finds out that out of 320...
- Q Calculate the covariance between variables X and Y. Is it apositive or negative relationship between the two variables?b. Calculate correlation coefficient between X and Y. Is it apositive or negative...
- Q The Dubai traffic department believes that at least twenty-fivepercent of the drivers stopped on a given day are using their cellphones. Assume that a sample of 75 drivers were stopped...
- Q A gasoline tank for a Honda Accord is engineered to hold 15gallons of gas.  Gas tank capacity for a randomlyselected Accord has an approximately normal distribution with mean15.0 gallons and standard...
- Q Describe the steps of hypothesis testings. Develop a hypothesisand alternative hypothesis to be tested and describe how how youwould apply these steps to your hypothesis.
- Q A study of king penguins looked for a relationship between howdeep the penguins dive to seek food and how long they stayunderwater. For all but the shallowest dives, there is...
- Q Assume that the average amount of money spent on video games isnormally distributed with a population standard deviation of 12.42AED. Your friend wants to estimate the expenditure on video games,takes...
- Q Question(a) Consider a random sample of the following data: 254, 261, 250,258, 253, 257.Calculate the unbiased estimator of the population variance.(1 mark)(b) Suppose the GPA of all students enrolled in...
- Q The medical community unanimously agrees on the health benefitsof regular exercise, but are adults listening? during each of thepast 15 years, a polling organization has sur- veyed americansabout their exercise...
- Q A news report states that the 99% confidence interval for themean number of daily calories consumed by participants in a medicalstudy is (2070, 2290). Assume the population distribution for dailycalories...
- Q What makes a dependent samples t test different from aone-sample t test? In what way are these tests similar?
- Q Assume that you have a sample of n 1 equals 8​, with the samplemean Upper X overbar 1 equals 42​, and a sample standard deviationof Upper S 1 equals 4​,...
- Q 27. English editions of Scrabble have 100 letter tiles,distributed as follows and as above:• 2 blank tiles (scoring 0 points)• 1 point: E ×12, A ×9, I ×9, O ×8,...
- Q A survey on British Social Attitudes asked respondents if theyhad ever boycotted goods for ethical reasons (Statesman, January28, 2008). The survey found that 23% of the respondents haveboycotted goods for...
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