Q-1a. You run a name middle and are involved about buyer assist service ranges on the Assist Desk. You wish to know what number of calls per day are dealt with by your assist desk workers. You acquire the info at left over a 75-day interval. Use applicable descriptive statistics to make sense of this information. Use an applicable graph additionally. Clarify your findings in order that your non-quantitative associate will perceive them. (5 pts.)Gross sales$1,695,712.62$three,403,862.05$2,710,352.91$529,215.46$663,686.65$2,546,324.34$2,787,Zero46.20$612,696.05$891,822.03$1,124,967.97$909,500.98$2,631,166.88$882,972.65$1,078,573.12$844,320.19$1,849,119.03$three,860,Zero07.32$826,573.88$604,682.87$1,903,611.60$2,356,808.39$2,788,571.96$1,634,878.29$2,371,627.37$2,627,837.96$1,868,116.33$2,236,796.86$1,318,876.23$1,868,Zero97.84$1,695,218.57$2,700,194.42$1,156,Zero49.77$643,858.44Age33.1632.6735.6633.0735.7633.8130.9830.7832.3232.5331.4433.1631.8733.4134.0528.8936.1132.8133.0533.5032.6828.5232.8930.5030.2931.2933.0532.9331.8431.0832.1831.6934.03Growth0.82990.66190.96880.08210.46462.17961.8048-Zero.0569-Zero.15770.36642.22561.51580.1413-1.04001.68362.35960.78400.11641.14980.06061.63381.12561.48844.79371.89221.86671.78960.27073.01293.46300.7041-Zero.15690.7084Revenue$26,748.51$53,063.79$36,090.14$32,058.07$47,843.42$50,180.97$30,710.08$29,141.70$55,980.15$28,730.88$31,109.23$55,614.12$23,Zero38.43$34,531.72$30,350.36$38,964.94$49,392.77$25,595.69$29,622.61$31,586.10$49,674.56$28,878.98$24,287.08$46,711.24$43,449.81$31,694.45$45,459.22$47,Zero47.34$26,433.24$33,396.66$26,179.36$33,454.64$42,271.50HSCollege73.5988.4673.5479.1884.1893.5078.0270.2970.6763.7476.9182.9565.2173.4980.2287.6085.3065.5980.6280.3879.8581.2470.2287.1080.2175.2977.6285.1874.1881.7073.4173.7278.6517.835031.943918.619820.628435.203241.705728.025015.088210.982913.245819.550020.813516.979632.992022.318524.567030.879017.454518.635638.324923.778016.930019.142930.884326.557028.360019.249035.499418.637541.113017.856626.542629.8734Can demographic data be useful in predicting gross sales at sporting items shops? The info at left are month-to-month gross sales totals from a random pattern of 33 shops in a big chain of nationwide sporting items shops. All shops within the franchise, and thus inside the pattern, are roughly the identical measurement and carry the identical merchandise. The county, o r in some circumstances counties, wherein the shop attracts the vast majority of its clients is referred to right here because the buyer base. For every of the 33 set are:Gross sales ——Newest one month gross sales complete ()Revenue —Median household earnings of buyer base ()Age ——–Median age of buyer base (years)HS ———-Proportion of buyer base with a highschool diplomaCollege —Proportion of buyer base with a school diplomaGrowth —Annual inhabitants progress price of buyer base over the previous 10 years._______________________________________________________________________________________Q-2a. Assemble a scatter plot, utilizing gross sales because the dependent variable and median household earnings as theindependent variable. Talk about the scatter plot. (5 pts.)______________________________________________________________________________________Q-2b. Assuming a linear relationship, use the least-squares technique to compute the regression coefficientsb0and b1 and state the regression equation. (5 pts.)______________________________________________________________________________________Q-2c. Interpret the which means of the Y-intercept, b0, and the slope, b1, on this drawback. (5 pts.)______________________________________________________________________________________Q-Second. Compute the coefficient of willpower r2, and interpret its which means. (5 pts.)______________________________________________________________________________________Q-2e. Assemble a 95% confidence interval estimate of the inhabitants slope and interpret its which means. ( 5 pts.)Q-3a. A pattern of scholars from an introductory psychology class have been polled relating to the variety of hours they spent learning for the final examination. All college students anonymously submitted the variety of hours on a three by 5 card. There have been 24 people within the one part of the course polled. The info wasused to make inferences relating to the opposite college students taking the course. Assemble a 95% confidence interval estimate . Clarify your findings in order that your non-quantitave associate will perceive them. Their information is under: (5 pts.)20187.511103.57.518192.591491414.517224.510.51558.5820_____________________________________________________________________________________________________________Q-3b. A pattern of Alzheimer’s sufferers are examined to evaluate the period of time (in minutes) in stage IV sleep. It has been hypothesized that people sufferering from Alzheimer’s Illness might spend much less time per night time within the deeper levels of sleep. The variety of minutes spent is Stage IV sleep is recorded for thirty sufferers (discuss with pattern information under of stage IV sleep over a 24 hour interval). Compute a 95 % confidence interval for this information. What does this data let you know a few explicit particular person’s (an Alzheimer’s affected person) stage IV sleep? Clarify your findings in order that your nonquantitative associate will perceive them. (5 pts.) Stage IV Sleep in Minutes28.537.418.553.261.318.7533.927.173.053.466.020.551.757.2535.633.425.165.355.035.Zero19.2581.544.128.736.532.247.341.739.7518.3_____________________________________________________________________________________________________________Q-3c. A big retail corportation plans to pattern gross sales receipts of its meat division to estimate the typical measurement (in ) of a buyer buy. Earlier evaluation recommend that the usual deviation of the acquisition quantity is roughly $50.72. With a view to calculate a 95% confidence interval ofthe complete width lower than $6.50, what number of gross sales receipts ought to the corportion embody within the pattern? Clarify your findings in order that your non-quantitative associate will perceive them. (5 pts.)_____________________________________________________________________________________________________________Q-3d. A survey of 850 staff have been requested how a lot they used the Web at work. 578 mentioned they used the web inside limits, and 255 mentioned that they didn’t use the Web at work. Assemble a 95% confidence interval estimate for the proportion of all staff who didn’t use the Web inside limits.Clarify your findings in order that your non-quantitative associate will perceive them. (5 pts.)____________________________________________________________________________________________________________ _Q-3e. You’re the designer to your firm’s web page. You will have information to point that the imply obtain time for the homepage is 5.eight seconds and that the usual deviation of obtain time is 2.1 seconds. If we assume that the obtain instances are usually distributed, what % of customers will wait between four and eight seconds for the homepage to obtain? Clarify your findings in order that your non-quantitative associate will perceive them. (5 pts.)Q-4a. You’re the supervisor of a well-liked retail retailer. You wish to decide whether or not the inhabitants imply wait time for buyer to check-out has modified previously month from its earlier inhabitants imply worth of four.25 minutes. From previous expertise, you may assume that the inhabitants is generally distributed with a inhabitants normal deviation of 1.6 minutes. You choose a pattern of 43 clients wait time to check-out throughout a one hour interval. The pattern imply is four.75 minutes. Decide whether or not thereis proof on the Zero.05 degree of significance that the inhabitants imply wait time to check-out has modified previously month from its earlier inhabitants imply worth of four.25 minutes. Clarify your findings utlizing data from the speculation take a look at you conduct. (5 pts.)_______________________________________________________________________________________________________________________Q-4b. You’re the supervisor of a fast-food restaurant. Based mostly on a pattern of two-hundred fifty drive-through orders, you found that orders have been stuffed appropriately 86.5% of the time. In an effort to enhance the quantity of orders stuffed appropriately, you developed a brand new course of to fill orders. After sampling two-hundred fifty orders underneath this new course of, the outcomes reviled that 225 orders have been stuffed appropriately. On the Zero.01 degree of significance, are you able to conclude that the brand new course of inhabitants proportion of orders filledcorrectly is increased than the proportion of orders stuffed underneath the previous course of? Clarify your findings using data from the take a look at you conduct. (5 pts.)Subcompact320520160160300120520440300170150300180160150400170180260240320260150320180140220Compact515260325470300530265235265320200160330250460Q-5a. One of many necessary options of a digital camera is the battery life as measured by the variety of pictures taken till the battery must be recharged. The info at left include the battery lifetime of 27 subcompact cameras and 15 compact cameras. Assuming that the inhabitants variances from each sorts of digital cameras are equal, is there proof of a distinction within the imply battery life between the 2 sorts of digital cameras on the 95% confidence degree? (5 pts.)Value$309.60$307.40$340.30$346.50$298.20$337.80$324.10$313.20$327.80$325.30$308.50$381.30$337.40$346.20$342.40$323.70$329.60$343.60$360.70$348.30Rooms78912691089861310109889119Neighborhood00000000000000111111An actual property Affiliation in a suburban group wish to research the connection between the dimensions of a single-family home (as measured by variety of rooms) and the promoting value of the home (in hundreds of ). Two completely different neighborhoods are included within the research, one on the east facet of the group (=Zero) and the opposite on the west facet (=1). A random pattern of 20 homes was chosen with the outcomes given at left._____________________________________________________________Q-6a. State the a number of regression equation that predicts the promoting value primarily based on the variety of rooms within the neighborhood. (5 pts.)_____________________________________________________________Q-6b. Interpret the regression coefficients. (5 pts.)_____________________________________________________________Q-6c. Predict the promoting value for a home with 10 rooms that’s positioned in a East-side neighborhood. Clarify your findings in order that your nonquantitative associate will perceive them. (5 pts.)_____________________________________________________________Q-6d. Compute and interpret the adjusted r2. (5 pts.)Q-7a. The administration of a financial institution within the Caribbean was involved in regards to the potential loss thatmight happen within the occasion of a hurricane. The financial institution estimated that the loss from considered one of thesestorms may very well be as a lot as $120 million together with losses as a result of interrupted service and customerrelations. One undertaking the financial institution is contemplating is the set up of an emergency energy generatorat its operations headquarters. The price of the emergency generator is $550,000, and if it isinstalled no losses from this sort of storm can be incurred. Nevertheless, if the generator is notinstalled, there’s a 10% likelihood that a energy outage will happen throughout the subsequent yr. If there’s anoutage there’s a 5% chance that the ensuing losses can be very massive or roughly $135million in misplaced earnings. Alternatively it’s estimated that there’s a 95% chance of solely slightlosses of round $1.1 million. Utilizing determination tree evaluation, decided whether or not the financial institution shouldinstall the brand new energy generator. (5 pts.)Payoff TableDecision (Buy)Residence buildingOffice buildingWarehouseGood EconomicConditions50%$80,250$125,250$52,750Poor EconomicConditions50%$33,850-$1,550$40,250An investor is to buy considered one of three sorts of actual property. The investor should resolve amongst an residence constructing, an workplace constructing, and a warehouse. The long run states of nature that may decide how a lot revenue the investor will make are good financial situations and poor financial situations. The earnings that may consequence from every determination within the occasion of every state of nature are proven above._________________________________________________________________Q-8a. Which funding has the best EMV and what’s the anticipated worth of excellent data on this drawback ? Clarify your findings in order that your nonquantitative associate will perceive them. (5 pts.)
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