Basic Math question and answers for September 07, 2023
- Q Great white sharks are big and hungry. Here are the lengths infeet of 44 great whites.18.616.313.319.012.516.515.716.418.517.814.123.016.616.116.816.615.612.79.313.718.418.018.313.414.413.713.315.815.712.113.719.514.815.315.418.617.614.815.913.212.112.513.416.9(a) Examine these data for shape, center, spread and outliers.The distribution is reasonably Normal except...
- Q In a poll, 360 students were tested about their interests inmathematics and statistics, the results are presented in the tablebelow. Please determine at 0.01 level of significance whether astudent’s interest...
- Q In a random sample of? males, it was found that26write with their left hands and214do not. In a random sample of? females, it was found that62write with their left hands...
- Q Compute the following binomial probabilities using the table ofCumulative Binomial Probabilities. Give your answer to3 places past the decimal.c) Binomial pmf value: b(10; 15, 0.3) d) Binomial pmf value: b(11; 20,...
- Q According to the 2010 US Census, the average number of residentsper housingunit for the n=87 counties in Minnesota was 2.10, and thestandard deviationwas 0.38. Test whether the true mean number...
- Q The mean incubation time for a type of fertilized egg kept at acertain temperature is 17days. Suppose that the incubation timesare approximately normally distributed with a standard deviation of1day.A. Find...
- Q The confidence interval for the difference in means6.2 - 15.74.4 - 13.95.6 - 15.1ConfidenceInterval for the Difference Between Two Independent MeansFind the confidence intervalfor the difference in the average monthly...
- Q A random sample of 27 observations is used to estimate thepopulation variance. The sample mean and sample standard deviationare calculated as 44 and 4.5, respectively. Assume that thepopulation is normally...
- Q A random sample of 1000 eligible voters is drawn. Let X = thenumber who actually voted in the last election. It is known that60% of all eligible voters did vote....
- Q Results from the National Health Interview Survey show thatamong the U.S. adult population, 45.9% do not meet physicalactivity guidelines, 3.5% meet only strength activity, 29.0% meetonly aerobic activity, and 21.6%...
- Q (22.06) Resistance training is a popular form of conditioningaimed at enhancing sports performance and is widely used among highschool, college, and professional athletes, although its use foryounger athletes is controversial....
- Q The production of pasture grass for hay is an importantagricultural product. A new type of grass, called Teff Grass isadvertised to produce 2 ton of hay per acre on the...
- Q The table represents the average protein intake in grams per dayfor people in different countries. Identify the following measuresbased on the given random sample of countries. Use the IQR methodto...
- Q It has been postulated that a student is more likely to smokemarijuana if both parents use alcohol and drugs. A paper publishedin Youth and Society (1979) reported that among 570...
- Q When ? is unknown and the sample is of size n? 30, there are two methods for computing confidence intervals for?.Method 1: Use the Student's t distribution withd.f. = n...
- Q The random variable x is greater than or equal to 50, with amean of 70, and a variance of 36. What is the probability for xless than or equal to...
- Q The following table shows the percentage of on-time arrivals,the number of mishandled baggage reports per 1,000 passengers, andthe number of customer complaints per 1,000 passengers for 10airlines.AirlineOn-TimeArrivals(%)MishandledBaggageper 1,000 PassengersCustomerComplaintsper 1,000...
- Q Exact exponential growth
- Q A plant physiologist investigated the effect of flooding on rootmetabolism in two treespecies: flood-tolerant river birch and the intolerant Europeanbirch. Four seedlings ofeach species were flooded for one day, and...
- Q Many freeways have service (or logo) signs that give informationon attractions, camping, lodging, food, and gas services prior tooff-ramps. These signs typically do not provide information ondistances. An article reported...
- Q The average height of adult females in the United States is64.5 inches. Assume that ? = 2.8 inches and the distribution isapprox. normal.Find the probability that a female selected at...
- Q 1. In a random sample of 23 people, the mean commute time towork was 32.2 minutes and the standard deviation was 7.2 minutes.Assume the population is normally distributed and use...
- Q (Chapter 14) The following data were obtained from arepeated-measures study comparing three treatment conditions.a. Use a repeated measures ANOVA with α=.05 to determine whetherthere are significant mean differences among the...
- Q Altobene, Inc.’s  R&D department recentlyconducted a test of three different brake systems to determine ifthere is a difference in the average stopping distance among thedifferent systems.  In the test, 21 identical mid-sizedcars...
- Q A certain region would like to estimate the proportion of voterswho intend to participate in upcoming elections. A pilot sample of25 voters found that 15 of them intended to vote...
- Q ​​​​1. f(x) = 1/2x-3 or y = 1/2x -3The input is x and the output is f(x) or y. What is the slopeof the function?What is the y-intercept of the...
- Q Suppose that the number of printing mistakes on each page of a200-page Mathematics book is independent of that on other pages.and it follows a Poisson distribution with mean 0.2.(a) Find...
- Q #2. You've sampled acorns from m^2 quadrates in Maine (the dataare below). Based on these data, answer the followingquestions.no.acorns<-c(3,26,11,24,22,16,15,26,20,22,17,16,18,20,18,15,17,16,12,25,22,20,27,19,13,17,17,20,25,26,13,21,12,27,19,15,14,20,17,15,15,23,27,17,17,14,18,23,18,23)#A What is an appropriate distribution to use to model thisdata?#B What...
- Q Suppose the length of time an iPad battery lasts can be modeledby a normal distribu-tion with meanμ= 8.2 hours and standarddeviationσ= 1.2 hours.a. What is the probability that randomly selected...
- Q Announcements for 84 upcoming engineering conferences wererandomly picked from a stack of IEEE Spectrum magazines. The meanlength of the conferences was 3.94 days, with a standard deviationof 1.28 days. Assume...
- Q If X ~ N(108, 22.2), calculate the following:a. P(X = 100, 108, 109, or 11) = _____.If Y ~ N(-33, 10), then what is the distribution of (Y -(-33))/10?b. (Y...
- Q 2. Oneâ€Sample Univariate Hypothesis Testing with ProportionsFor this question, show the results “by handâ€, but you can use Rto check your work. Suppose that the 4â€year graduation rate at alarge,...
- Q The amount of time each week that Dunder Mifflin employees spendin pointless meetings follows a normal distribution with a mean of90 minutes and standard deviation of 10 minutes.A. What is...
- Q If a doughnut shop offers seven different varieties of doughnut,how many different dozens of doughnuts can one order? Explain youranswer.
- Q Twocombinationdrugtherapies(TreatmentAandTreatmentB)have beendeveloped for eradicating Helicobacter pylori in humanpatients. The effectiveness of these treatments depends on whetheror not the patient is resistant to the chemical compoundMetronidazole, but apatient’s resistance status is...
- Q 1) A manufacturer of cereal claims that the mean weight of aparticular type of box of cereal is 1.2 pounds. A random sample of71 boxes reveals a sample average of...
- Q A survey conducted of 1,000 college students asked those whoregularly drink alcohol, how many alcoholic beverages they consumeeach week. From this survey, on average (mean), these studentsconsume five beverages each...
- Q The probability of winning in a certain state lottery is said tobe about 1/9. If it is exactly 1/9, what a random variablerepresents the distribution of the number of tickets...
- Q Each of the distributions below could be used to model the timespent studying for an exam. Take 1,000 random samples of size 25from each of the distributions below. In each...
- Q Find an equation of the line satisfying the givenconditions.Through (6,4); perpendicular to 9x+4y=70
- Q Find the odds for and the odds against the event rollinga fair die and getting a 6 or a 2.a. The odds for the event are __ to __ ​(Simplify...
- Q Suppose there is a bag containing 20 red marbles (R), 20green marbles (G), 20 pink marbles (P), and violetmarbles(V).Someone mixes the marbles​ thoroughly, draws one marbleat​ random, puts the marble...
- Q The Excel data for this assignment shows the annual energy usagein kWh for a random sample of 250 detached single-family homes inthe Southeast. A contractor building a new housing development...
- Q The liquid chlorine added to swimming pools to combat algae hasa relatively short shelf life before it losesits effectiveness.Records indicate that the mean shelf life of a jug of chlorine...
- Q Of 250 adults who tried a new multi-grain cereal, \"Wow!\", 187rated it excellent; of 100 children sampled, 66 rated it excellent.Using the 0.1 significance level and the alternate hypothesis π1not...
- Q Portfolio returns. The Capital Asset Pricing Model is afinancial model that assumes returns on a portfolio are normallydistributed. Suppose a portfolio has an average annual return of11.1% (i.e. an average...
- Q A typical adult's resting heart rate is 79 BPM with a standarddeviation of 12. If the heart rate of 9 randomly selected adultsare taken, what average heart rate is at...
- Q Describe the continuity correction (covered in anearlier course unit), and explain how, when, and why it is used instatistics. Don't limit your thinking to the most common examplegiven of this...
- Q 11.)  An experiment consists of rolling two fair dice and adding thedots on the two sides facing up. Assuming each simple event is aslikely as any​ other, find the probability that...
- Q Suppose a multiple regression model is given by modifying abovey with caretequals0.21x 1minus9.52x 2minus28.56. What would aninterpretation of the coefficient of x 1 be? Fill in the blankbelow. An interpretation...
- Q Bob and Carol Packer operate a successful outdoor wear store inVermont called Northwoods Backpackers. They stock mostlycold-weather outdoor items such as hiking and backpacking clothes,gear, and accessories. They established an...
- Q According to statistics, the distribution of ages for licenseddrivers has a mean of 44.5 years and a standard deviation of 17.1years. Assume the distribution of ages is normally distributed.(Give your...
- Q Plz use both pure NE and MIXED strategy (with Probability)Consider a firm with two agents – 1 and 2. Both agents have tochoose between two options: Client Focus or Cost...
- Q Ex. 2.40 European roulette.The game of European roulette involves spinning a wheel with 37slots: 18 red, 18 black, and 1 green. A ball is spun onto the wheeland will eventually...
- Q An insurance company wants to monitor the quality of itsprocedures for handling loss claims from its auto insurancepolicyholders. Each month the company selects an SRS from all autoinsurance claims filed...
- Q newspaper publisher is considering launching a new \"national\"newspaper in Anytown. It is believed that the newspaper would haveto capture over 12% of the market in order to be financiallyviable. During...
- Q A sample of 11 circuits from a large normal population has amean resistance of 2.20 ohms. We know from past testing that thepopulation standard deviation is 0.35 ohms.1. Determine a...
- Q Assume that a simple random sample has been selected from anormally distributed population and test the given claim. A simplerandom sample of 25 filtered 100 mm cigarettes is​ obtained, andthe...
- Q Compare the coding techniques used in quantitative versusqualitative research
- Q 015824 A systems analyst tests a new algorithm designed to workfaster than the currently-used algorithm. Each algorithm is appliedto a group of 89 sample problems. The new algorithm completes thesample...
- Q Please conduct an independent-sample t-test, α =.05.  Two persons are arguing about the size of different breeds ofdogs. One believes that German Shepherds are larger than Huskies,while the other person believes...
- Q The Sorry State Lottery requires you to select five differentnumbers from 0 through 63. (Order is not important.) You are a BigWinner if the five numbers you select agree with...
- Q Contracts for two construction jobs are randomly assigned to oneor more of three firms A, B, and C. Let Y1 denote the number ofcontracts assigned to firm A and Y2...
- Q A diagnostic test either provides a + result (has the disease)or - result (does not have the disease). 5% of the population hasthe disease. For a patient with the disease,...
- Q A food safety guideline is that the mercury in fish should be below1part per million​ (ppm). Listed below are the amounts ofmercury​(ppm) found in tuna sushi sampled at different stores...
- Q A frequency distribution has a mean of 200 and a standarddeviation of 20. The class limits for one class are 220 up to 240.What is the area associated with the...
- Q The following sampledata are from a normal population: 10, 9, 12, 14, 13, 11, 7, 4.a. What is the pointestimate of the population mean?b. What is the pointestimate of the...
- Q For a parallel structure of identical components, thesystem can succeed if at least one of the components succeeds.Assume that components fall independently of each other and thateach component has a...
- Q Q: Suppose a new treatment for a certain disease is given to asample of 200 patients. The treatment was successful for 164 of thepatients. Assume that these patients are representative...
- Q The following ratings (R) and observed times (OT) represent theelements from question 1. Using the ratings (R) given below foreach observation, determine the normal time (NT) for each element.Using the...
- Q Consider this argument:Most people are fed up with celebrities talking politics.Every time I see an ordinary person interviewed on TV aboutthis—and I’ve seen a dozen—they always say they’re angry about...
- Q Here is a census for an apportionment problem in a hypotheticalcountry comprised of four states. • State of Ambivalence: 8,000; •State of Boredom: 9,000; • State of Confusion: 24,000; •...
- Q Q#1The amounts of time employees of a telecommunications companyhave worked for the company are normally distributed with a mean of5.10 years and a standard deviation of 2.00 years. Random samplesof...
- Q Soma recorded in the table the height of each player on thebasketball teamBasketball Players’ Heights (in inches)66666857646567676465Construct a normal probability distribution curve for thispopulation! Indicate the number for the mean,...
- Q 1. A random sample of 4040 cars owned by students had a mean ageof 7.37.3 years and a standard deviation of 3.73.7 years, while arandom sample of 2828 cars owned...
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