Statistics question and answers for August 15, 2023
- Q One state lottery game has contestants select 5different numbers from 1 to 45. The prize if all numbers arematched is 2 million dollars.  The tickets are $2each.Please show work.1)   How many...
- Q Explain why the standard error of a sampling distribution willalways be smaller than the standard deviation of a population. Foryou answer do not discuss the formula (since formulas are just...
- Q A behavioral psychologist wanted to know if making a publiccommitment to lose weight will make a difference in how much weightis actually lost. He obtained 14 volunteers who wanted to...
- Q A random sample of medical files is used to estimate theproportion p of all people who have blood type B.(a) If you have no preliminary estimate for p, how manymedical...
- Q A paper describes an investigation in which 40 men and 40 womenwith online dating profiles agreed to participate in a study. Eachparticipant's height (in inches)was measured and the actual heightwas...
- Q State the hypotheses, state the test statistic, statethe P-value, make an decision, and state a conclusion.A certain type of calculator battery has a mean lifetime of 150hours and a standard...
- Q 3. Nelson's Foods wishes to compare the weight gain of infantsusing its brand versus their competitor's. A sample of 90 babiesusing Nelson's product revealed a mean weight gain of 7.6...
- Q Consider the following:H0: μ=10H1: μ≠10For a sample of 6 units, the mean for the sample is 11.2 and thepopulation standard deviation is 2.14.1)Calculate the p-value for the test.2) If α=0.10,...
- Q A coffee company sells bags of coffee beans with an advertisedweight of 454 grams. A random sample of 20 bags of coffee beans hasan average weight of 457 grams. Weights...
- Q In January 2014, the “polar vortex†swept across the eastern USleading some media outlets to claim this was the “coldest weatherin decades†in Baltimore between Jan 6 & Jan 8....
- Q The normaldistribution for women’s height in North America has amean μ=62inches and a standard deviation ơ=2.75inches.The normaldistribution for men’s height in North America has a meanμ=65inches and a standard deviation...
- Q A study conducted by the Pew Research Center reported that 58%of cell phone owners used their phones inside a store for guidanceon purchasing decisions. A sample of 15 cell phone...
- Q Alabama 89.3%Alaska 78.2%Arizona 78%Arkansas 88%California 82.7%Colorado 79.1%Connecticut 87.9%Delaware 86.9%Florida 82.3%Georgia 80.6%Hawaii 82.7%Idaho 79.7%Illinois 87%Indiana 83.8%Iowa 91%Kansas 86.5%Kentucky 89.7%Louisiana 78.1%Maine 86.9%Maryland 87.7%Massachusetts 88.3%Michigan 80.2%Minnesota 82.7%Mississippi 83%Missouri 88.3%Montana 85.8%Nebraska 89.1%Nevada 80.9%New Hampshire...
- Q The speed limit of a road is 65 miles per hour. The speed of acar on the highway follows a normal distribution with a mean of 70and standard deviation of...
- Q Find the sample size needed to estimate the percentage ofVirginia residents who are left-handed. Use a Margin of Error of 3%and use a confidence level of 90% for both situations...
- Q Recall from Example 1 that whenever Suzan sees a bag of marbles,she grabs a handful at random. She has seen a bag containing fourred marbles, two green ones, five white...
- Q In a study of fast food accuracy on drive-thru orders, BurgerKing had 264 accurate orders and 54 that were not accurate.a. Construct a 95% CI for the percentage of orders...
- Q Many investors and financial analysts believe the Dow JonesIndustrial Average (DJIA) gives a good barometer of the overallstock market. On January 31, 2006, 9 of the 30 stocks making up...
- Q Core i5 and i7 are two different types of CPU manufactured byIntel. As you may know as a matter of fact, Intel does not producetwo types of CPUs. Instead, they...
- Q Find the p-value of the test.A) Less than 0.25%B) Between 0.25% and 0.5%C) Between 0.5% and 1%D) Between 1% and 2.5%E) Between 2.5% and 5%F) Between 5% and 10%G) Between...
- Q Since an instant replay system for tennis was introduced at amajor​ tournament, men challenged 14301430 referee​ calls, with theresult that 416416 of the calls were overturned. Women challenged740740 referee​ calls,...
- Q 1. An experiment compared the ability of a group of chefs versusamateur cooks to taste spices in a dish. The researchers recordedthe total number of spices each person identified and...
- Q Consider arrangements of the letters NEWBIT. How manyarrangements start or end with a vowel?
- Q In 1940 the average size of a U.S. farm was 174 acres†. Let'ssay that the standard deviation was 56 acres. Suppose we randomlysurvey 46 farmers from 1940.Part (c)Give the distribution...
- Q Jack packs 3 pairs of shoes, 4 pairs of boots, 6 pairs of jeans,8 pairs of dress pants, and 2 dress shirts for a trip.a.) How many different outfits can...
- Q 1. Overproduction of uric acid in the body can be an indicationof cell breakdown. This may be an advance indication of illnesssuch as gout, leukemia, or lymphoma.†Over a period...
- Q Group 1: Control - 20, 14, 18, 16, 17, 17Group 2: Psychodynamic - 20, 9, 10, 15, 15,15Group 3: Rational-Emotive - 18, 7, 15, 9, 11,12Group 4: Behavior Modification -...
- Q A student randomly selected 70 packets of sugar and weighed thecontents of each packet, getting a mean of 3.586 g and a standarddeviation of 0.074 g. Test the claim that...
- Q A sample of 34 observations is selected from a normalpopulation. The sample mean is 30, and the population standarddeviation is 3. Conduct the following test of hypothesis using the0.05 significance...
- Q A student wants to test whether today’s graduatingseniors are just as optimistic about their future prospects than inthe past. Data from a similar survey given 10 years ago to anational...
- Q A population has standard deviation 17.7.Part 1 of 2(a) How large a sample must be drawn so that a 90% confidenceinterval for u will have a margin of error equal...
- Q The mean SAT score in mathematics,μ, is559. The standard deviation of these scores is39. A special preparation course claims that its graduates willscore higher, on average, than the mean score559....
- Q Students in a business statistics course performed a completelyrandomized design to test the strength of four brands of trashbags. One-pound weights were placed into a bag, one at a time,until...
- Q 23.4Matching Dogs and Owners. Researchers constructed two testsheets, each sheet including 20 photos of the faces of dog-ownerpairs taken at a dog-lovers field festival. The 20 sets ofdog-owner pairs on...
- Q A research facility is evaluating five different processes ofextracting starch from corn flour.The percent yield of starch is the response of interest. Thedata is shown below:Process  Starch_Yield1  75.91  72.31  64.71  ...
- Q 1) One of the biggest flaws in any research is the logic ofstatistical correlation implies causation. What is the fundamentaldifficulty with this assumption and how should correlations betreated?2) Explain the...
- Q Diana's kids, Naomi and Isaac, play a lot of videogames together. On a particular level, the number of points Naomiscores has a Discrete Uniform distribution on [5,11] and the...
- Q The life span of a calculatormanufactured by Texas Instruments has a normal distribution with amean of 65 months and a standard deviation of 1 year. The companyguarantees that any calculator...
- Q As a student you have probably noticed a curious phenomenon. Inevery class, there are some students who zip through exams and turntheir papers in while everyone else is still working....
- Q The Survey of Study Habits and Attitudes (SSHA) is apsychological test that measures the motivation, attitude towardschool, and study habits of students. Scores range from 0 to 200. Aselective private...
- Q 4. Core i5 and i7 are two different types of CPU manufactured byIntel. As you may know as a matter of fact, Intel does not producetwo types of CPUs. Instead,...
- Q A small business ships specialty homemade candies to anywhere inthe world. Past records indicate that the weight of orders isnormally distributed. Suppose a random sample of 16 orders isselected and...
- Q Data:sample  volume1 15.52 16.63 15.54 16.15 14.4A bottling company claims that the mean amount of fluid in itsbeverage bottles is 16 oz. It's known that the amount of fluid isnormally...
- Q Let X1 and X2 be two observations on aniid random variable drawn from a population with mean μ andvariance σ2 (for example, the random variable could beincome; X1 could be...
- Q A random sample of 100 households and collect data on eachhousehold’s income. You find a sample income standard deviation of$160,000. You want to test the null hypothesis that the populationmean...
- Q Beginning in the 1970s, anthropologists began to address theproblem of androcentrism (overvaluing of male gender) within thefield of anthropology. Since then, subtle gender biases have beenfound. Specifically, in a 1990...
- Q Suppose that researchers study a sample of 50 people and findthat 10 are left-handed.(a) Find a 95% confidence interval for the population proportionthat is left-handed.(b) What would the confidence interval...
- Q Data has been collected on the number of hospital admissionsresulting from car accidents for Fridays on the 6th ofthe month and Fridays on the following 13th of the samemonth. Test...
- Q A vegetable distributor knows that during the month of August,the weights of its tomatoes are normally distributed with a mean of0.52 lb and a standard deviation of 0.15 lb. (See...
- Q In a large midwestern university (the class of entering freshmenis 6000 or more students), an SRS of 100 entering freshmen in 1999found that 20 finished in the bottom third of...
- Q You would like to determine if teacher A gives different gradesfrom teacher B in the same class at a significance level of 0.01.You take a random sample of 85 students...
- Q Find the optimum strategies for player A and player B in thegame represented by the following payoff matrix. Find the value ofthe game.-11/30-4
- Q The Enormous State University Public Relations Department hasissued a statement claiming that 80% of thosewho enroll at ESU graduate within 6 years. Being naturallyskeptical, you decide to test their claim....
- Q The management of a supermarket wanted to investigate whetherthe male customers spend less money on average than femalecustomers. A sample of 22 male customers who shopped at thissupermarket showed that...
- Q Standard deviation is a useful concept in performancemanagement. Let us say that a director in a local fire departmentwants to know any variation between the performance of this yearand that...
- Q A standardized college admissions test has a populationmean of 65, a population standard deviation of 10 points, and isnormally distributed. If a student scores a 73 on the test, abovewhat...
- Q Use the given degree of confidence and sample data to constructa confidence interval for the population mean mu.Assume that the population has a normal distribution. Round totwo decimal places. nequals​10,...
- Q The mean number of sick days an employee takes per year isbelieved to be about 10. Members of a personnel department do notbelieve this figure. They randomly survey 8 employees....
- Q A particular brand of tires claims that its deluxe tire averagesat least 50,000 miles before it needs to be replaced. From paststudies of this tire, the standard deviation is known...
- Q Assignment 2: Connection between Confidence Intervalsand Sampling Distributions:The purpose of this activity is to help give you a betterunderstanding of the underlying reasoning behindthe interpretation of confidence intervals. In particular,...
- Q Farmer's Corporation made a report that the mean annualhousehold income of its readers is $119,155 (Thebill, March 2017).Assume this estimate of the mean annual household income is basedon a sample...
- Q A survey in the N.Y. Times Almanac finds the mean commute time(one way) is 25.4 minutes for the 15 largest US cities. The chamberof commerce in a city feels that...
- Q A comparison is made between two bus lines to determine ifarrival times of their regular buses from Denver to Durango are offschedule by the same amount of time. For 51...
- Q Assume that among households with an annual income over$100,000, 75% own SUVs, while among households with an annualincome under $100,000, only 25% do. Households making over $100,000make up one quarter...
- Q A patient named Diana was diagnosed with Fibromyalgia, along-term syndrome of body pain, and was prescribedanti-depressants. Being the skeptic that she is, Diana didn'tinitially believe that antidepressants would help her...
- Q Use the sample data and confidence level given below to completeparts​ (a) through​ (d).A drug is used to help prevent blood clots in certain patients.In clinical​ trials, among 4538 patients...
- Q The manufacturer of an MP3 player wanted to know whether a 10%reduction in price is enough to increase the sales of its product.To investigate, the owner randomly selected eight outlets...
- Q Seasonal affective disorder (SAD) is a type of depression duringseasons with less daylight (e.g., winter months). One therapy forSAD is phototherapy, which is increased exposure to light used toimprove mood....
- Q oyota USA is studying the effect of regular versus high-octanegasoline on the fuel economy of its new high-performance,3.5-liter, V6 engine. Ten executives are selected and asked tomaintain records on the...
- Q A study of the properties of metal plate-connected trusses usedfor roof support yielded the following observations on axialstiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12in:4:319.2409.5311.0326.5316.8349.8309.76:441.1347.2361.0404.5331.0348.9381.78:390.4366.2351.0357.1409.9367.3382.010:364.7452.9461.4433.1410.6384.2362.612:408.4441.8419.9410.7473.4441.2465.8Does variation...
- Q In a study of the accuracy of fast food​ drive-through orders,Restaurant A had 217 accurate orders and 58 that were not accurate.a. Construct a 95​% confidence interval estimate of the...
- Q III. A health-food store stocks two different brands of certaintype of grain. Let X = the amount (lb) of brand A on hand and Y =the amount of brand B...
- Q A large university is interested in the outcome of a coursestandardization process. They have taken a random sample of 100student grades, across all instructors. The grades represent theproportion of problems...
- Q We operate a bottle filling factory. One of our machines fills a32-ounce bottle with a target of 32.08 ounces of orange juice.Every 10 minutes or so we obtain a sample...
- Q GenderMeanS.D.MinQ1MedianQ3MaxFemale23.7647.4702521256Male14.2321.160151584female sample size: 62male sample size: 309. Let’s look a little closer at the original dataset(both genders, without Audrey/Katrina added) and actually perform ahypothesis test. At α = 0.05​, can...
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