Statistics question and answers for August 10, 2023
- Q According to a recent​ report, 46% of college studentinternships are unpaid. A recent survey of 60 college interns at alocal university found that 31 had unpaid internships.a. Use the​ five-step...
- Q The data below represent scores from three different therapiesused to treat depressive symptoms. Scores represent depressivesymptoms on a scale of 1-10, with higher scores indicating greaterdepressive symptoms.Treatment 1Treatment 2Treatment 3014043G...
- Q A judging panal of 7people is to be randomly selectedfrom 8 teachers and 20 students.What is the probability that thereare more students than teachers on the panal?
- Q The members of a consulting firm rent cars from three rentalagencies. It is estimated that 0.39 percent of cars come fromagency 1, 0.08 percent of cars come from agency 2,...
- Q A consumer product testing organization uses a survey of readersto obtain customer satisfaction ratings for the nation's largestsupermarkets. Each survey respondent is asked to rate a specifiedsupermarket based on a...
- Q 3. The following data are weights of food (in kilograms)consumed per day by adult deer collected at different times of theyear.Month Weight of food consumed (kg)Feb. 4.7, 4.9, 5.0, 4.8,...
- Q A geological research institute tracks temperatures in variouslocations on the globe. To find out whether average temperatureshave changed in the last 25 years, the average temperatures whichwere recorded for 30...
- Q Two employees are counting the number of broken eggs they findin the large 18 packs of eggs at the store they work at. The firstemployee records the following numbers of...
- Q A sample of 8 children in the 5th grade of North StratfieldSchool run the 100 meter dash in a average time of 20.2 seconds.Assume the bias adjusted sample standard deviation...
- Q A) Test these hypothesis by calculating the p valuegiven that xbar=99, n=100, and standard deviation =8.Ho: mu=100H1: mu does not equal 100B) repeat part a with n=50C) repeat part a...
- Q I would like to test a hypothesis that the percentage of peoplewho consider themselves as conservatives today is lower than it was20 years ago. Conveniently enough, my old professor has...
- Q The Crown Bottling Company has just installed a new bottlingprocess that will fill 16-ounce bottles of the popular CrownClassic Cola soft drink. Both overfilling and underfilling bottlesare undesirable: Underfilling leads...
- Q Teenager Mike wants to borrow the car. He can ask either parentfor permission to take the car. If he asks his mom, there is a 20%chance she will say â€yes,â€...
- Q Dear Math Students:I recently bought a restaurant in Chicago.  It ispretty small, but well-located.  We are open every day,but Mondays, from 4 PM until 11 PM.  Our menu isbasically Italian.  We offer individual pizzas,...
- Q A PEW POLL TAKEN IN 2010 SURVEYED 830 PEOPLE AGED 18-29, ANDFOUND THAT 166 OFThey HAD ONE OR MORE TATTOOS. CAN YOU CONCLUDE THAT THE PERCENTAGEOF PEOPLEAGED 18-29 WHO HAS...
- Q In stratified sampling, there are two methods of sample sizeallocation to the strata: optimal allocation andproportional-to-size allocation. Suppose interest lies inestimating the mean of the population using Åstrat(y). Let Voptshow...
- Q Supposed you were asked to estimate the proportion of 25-30 yearolds that have a home (land line) telephone. In order to make thisestimate, you polled 600 people in this age...
- Q Reserve Problems Chapter 8 Section 2 Problem 2Your answer is partially correct. Try again.During the nutrition research, the amount of consumedkilocalories per day was measured for 18 people – 10...
- Q Yoonie is a personnel manager in a large corporation. Each monthshe must review 16 of the employees. From past experience, she hasfound that the reviews take her approximately four hours...
- Q A grocery store is trying to predict how many packages of toiletpaper rolls will be purchased over the next week. They know fromtheir records that each customer has a 60%...
- Q Let XiXi for i=1,2,3,…i=1,2,3,… be a random variable whoseprobability distribution is Poisson with parameter λ=9λ=9. Assumethe Xi are independent. Note that Poisson distributions arediscrete.Let Sn=X1+⋯+Xn.To use a Normal distribution to...
- Q The number of errors in each of 300 files has a Poissondistribution with 1.4 errors per file on average. Assume the errorsin different files are independent. Use the Central Limit...
- Q ) In a study of the effects of caffeine on alertness, 32subjects were randomly assigned to four groups. These groups wereC1: wait-list control (no treatment), C2: placebo control, E1:experimental group...
- Q A marketing company wants to know the mean price of new vehiclessold in an up-and‑coming area of town. Marketing strategists takesa simple random sample of 756 cars, and find that...
- Q Some of the statements below refer to the null hypothesis, someto the alternate hypothesis. State the null hypothesis, H0, and thealternative hypothesis, Ha, in terms of the appropriate parameter(μ or...
- Q The average undergraduate cost of tuition, fees and books for atwo year college is $10,560. Four years later, a random sample 36two year colleges, had an average cost of tuition,...
- Q The following table shows age distribution and location of arandom sample of 166 buffalo in a national park.AgeLamarDistrictNez PerceDistrictFireholeDistrictRowTotalCalf15121441Yearling1311933Adult31283392Column Total595156166Use a chi-square test to determine if age distribution andlocation are...
- Q The Bureau of Economic Analysis in the U.S. Department ofCommerce reported that the mean annual income for a resident ofNorth Carolina is $18,688 (USA Today, August 24, 1995). Aresearcher for...
- Q Suppose that 14 children, who were learning to ride two-wheelbikes, were surveyed to determine how long they had to use trainingwheels. It was revealed that they used them an average...
- Q Problem 3-15 (Algorithmic) Telephone calls arrive at the rate of48 per hour at the reservation desk for Regional Airways. (a) Findthe probability of receiving 6 calls in a 5-minute interval....
- Q A recent study from the Department of Education shows thatapproximately 11% of students are in private schools. A randomsample of 450 students from a wide geographic area indicated that55 attended...
- Q A random sample of 26 seedless watermelons has a mean weight of32.71 ounces and a standard deviation of 9.48 ounces. Assuming theweights are normally distributed, construct a 90% confidenceinterval estimate...
- Q You are given the sample mean and the population standarddeviation. Use this information to construct the​ 90% and​ 95%confidence intervals for the population mean. Interpret the resultsand compare the widths...
- Q . USA Today reported that about 47% of the general consumerpopulation in the United States is loyal to the automobilemanufacturer of their choice. Suppose that Chevrolet did a study ofa...
- Q . A researcher took a random sample of 600 college students andsurveyed them about how many days of class they missed persemester. On average, the sample missed 3.1 days of...
- Q Find a modified divisor that will give modified quotas toproduce the desired number of seats. Use rounding down for thestandard quotas.10 seatsPopulation1st Precinct135,0002st Precinct231,0003st Precinct118,0004st Precinct316,000TOTAL800,00045,00065,00055,00050,000
- Q Consider the quarterly electricity production for years1-4:Year 1 2 3 4Q1 99 120 139 160Q2 88 108 127 148Q3 93 111 131 150Q4 111 130 152 170(a) Estimate the trend...
- Q If a couple has six boys and six girls, how many gendersequences are possible?(Also, is there a way to do this with a T-83 plus calculator?)
- Q When do we use “Tukey’s test for Additivity� Describe how itworks.
- Q explain how linear regression could be used in business decisionmaking?
- Q A sample of 22 offshore oil-workers took part in a simulatedescape exercise. The sample yielded an average escape time of 388.7min. and standard deviation of 22.4 min. The 95% confidenceinterval...
- Q Three fair coins are tossed simultaneously 10 times. Find theprobability that \"2 heads and one tail\" will show up (a) at leastonce and (b) at most once.
- Q Recorded in the table below are the blood pressure measurements(in millimeters) for a sample of 12 adults. Does there appear to bea linear relationship between the diastolic and systolic bloodpressures?...
- Q Suppose that 32% of people have a dog, 27% of people have a cat,and 12% have both. What is the probability that someone owns a dogbut not a cat?
- Q We have two possible models in two-way ANOVA: the fixed effectsmodel and the random effects model. What are the differencesbetween these two models and how does the analysis differ?
- Q NASA has been working with utility companies to set up expensivepower generating windmills. In order for a site to be effective,the average wind speed must be more than 20 mph....
- Q Astudy of the effects of exercise used rats bred to have high or lowcapacity for exercise. The 8 high-capacity rats had mean bloodpressure 89 mm Hg and standard deviation 9...
- Q Given the scores on a certain exam are normally distributed witha mean of 75 and a standard deviation of 5a. Calculate the z-score for 80. Find the percentage of studentswith...
- Q An experiment was performed on a certain metal to determine ifthe strength is a function of heating time (hours). Results basedon 25 metal sheets are given below. Use the simple...
- Q Youwill be using your Framingham dataset for the following questions.7. Calculate a multivariable regression where the outcome istotal serum cholesterol and the independent variables are BMI, age,sex and smoking status....
- Q Describe the conditions in which a nonparametric test would be abetter selection than a parametric test. Illustrate your ideas witha specific example of when you would use each type of...
- Q A data set of 27 male African elephants shows that their weightsare normally distributed, and have an average weight of 111 kg,with a 95% confidence interval of (104, 119). I...
- Q The Book of R (Question 20.2) Please answer using R code.Continue using the survey data frame from the package MASS forthe next few exercises.The survey data set has a variable...
- Q In 2012 the Centers for Disease Control and Prevention reportedthat in a sample of 4,349 African Americans 31% were Vitamin Ddeficient. A 90% confidence interval based on this sample is...
- Q Suppose a a medical researcher claims that µ, the meanconcentration of lead (in mcg/g, micrograms of lead per gram ofmedicine)is less than 16 mcg/g. Express in symbolic form the nulland...
- Q A programming team is in the process of testing a new softwaremodule. As part of the effort, they need to estimate the successrate of the module when used with a...
- Q The demand (in number of copies per day) for a city newspaper,x, has historically been 46,000, 58,000, 70,000, 82,000, or 100,000with the respective probabilities .2, .16, .5, .1, and.04.(b)Find the...
- Q A random sample of 853 births included 430 boys. Use a 0.10significance level to test the claim that 51.2 ​% of newborn babiesare boys. Do the results support the belief...
- Q The herbal supplement biloba ginko is advertised as producing anincrease in physical strength and stamina. To test this claim, asample of n = 27 adults is obtained and each person...
- Q Between 20 and 25 violent acts are portrayed per hour onchildren’s TV. A study by Johnson et al (2002) looked for linksbetween TV viewing and aggression by following the TV...
- Q The present study shows data for direct flights from Orlando toMiami for one airline. The airline claims that the flying time(time in the air) of direct flights from Orlando to...
- Q According to a newspaper article, teens watch on average 315minutes of television a week. A concerned parent collected a randomsample of 12 individual teens to test the claim. The sample...
- Q The production line at the Heinz ketchup factory is calibratedto fill bottles of ketchup with no more than 24 ounces of ketchupin each bottle. We certainly do not want ketchup...
- Q 5. Â Â Thankyou!!A researcher isinterested in determining whether the illumination level in a roomaffects how quickly clients can be put into a trance. The time (inseconds) it took for five...
- Q Your company's new portable phone/music player/PDA/bottlewasher, the RunMan, will compete against the established marketleader, the iNod, in a saturated market. (Thus, for each device yousell, one fewer iNod is sold.)...
- Q Consider an engine parts supplier and suppose they determinedthat the variance of all cylindrical engine parts diametersproduced by the current machine is .007. To reduce this variance, anew machine is...
- Q A particular event has a probability of occurrence of p=0.65.Given 12 independent trials, draw the probability distribution andcalculate the expected value.A particular event has a probability of occurrence of p=0.65.If...
- Q A researcher designed a study to find out the effectiveness oftwo teaching methods: lecture-style vs. discussion-style. Hecompares the test scores of the students taught with these twodifferent methods. The scores...
- Q In an earlier poll, it was determined that 55% of thepopulation support the prime minister. Today, 100 people werepolled and 50% of respondents approve. If these polls are conductedweekly, can...
- Q What is the area to the right of three in the graph below?
- Q The number of chocolate chips in an​ 18-ounce bag of chocolatechip cookies is approximately normally distributed with mean 1252and standard deviation 129 chips. ​(a) What is the probability that a...
- Q Seven people are in an elevator which stops at ten floors. Inhow many ways can they get off the elevator?10^7C(10,7)7^10P(10,7)A hiking group consists of 12 students and 2 leaders. A...
- Q A marketing survey of 200 random adult Americans found that 78had Amazon Prime accounts, 49 had Netflix Accounts, and 21 had Huluaccounts. 8 adults had all three accounts, while 12...
- Q The table below gives the completion percentage and interceptionpercentage for five randomly selected NFL quarterbacks. Based onthis data, consider the equation of the regression line,yˆ=b0+b1xy^=b0+b1x,  for using the completion percentageto predict...
- Q Consider the following study results concerning Age and ChurchAttendance:                                                                                               AgeChurchAttendance         20-29                    30-39                    40-49                    50-59Yes21                          63                          94                          72No69                          87                          106                        78Test to see if the proportion of people who attend church is thesame for all age groups (95% confidence).Using the Marascuillo Pairwise...
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