Harvard university. qmb final exam final assessment test i


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Final Assessment Examination I 

Question 1: The median is continually a melioreprimand symbolical of the mediate appraise of a certaintys set when the certaintys set:  

Is bimodal. Has a lofty plummet intermission. Is loftyly skewed. Has no outliers. 

Question 2: The certaintys in the Excel spreadsheet linked beneath afford counsel on the sustentational conciliateing (in grams per serving) of some accidental breakfast cereals. For which nutrients is the moderation nutrient conciliateing per serving senior than the median nutrient conciliateing per serving? Breakfast Cereals Source Proteins singly.Complex carbohydrates singly.Both nutrients. Neither nutrient. 

Question 3:The histogram beneath conspires the carbon monoxide (CO) emissions (in pulverizes/minute) of 40 unanalogous airplane copys at grasp-off. 

The arrangement is best illustrative as is: Uniform. Heteroskedastic. Normal. Skewed fit. 

Question 4:The histogram beneath conspires the carbon monoxide (CO) emissions (in pulverizes/minute) of 40 unanalogous airplane copys at grasp-off. Which of the forthcoming avowments is the best corollary that can be dragn from this histogram? The moderation whole of carbon monoxide emissions is senior than the median whole of carbon monoxide emissions. The moderation whole of carbon monoxide emissions is hither than the median whole of carbon monoxide emissions. The moderation and median wholes of carbon monoxide emissions are environing correspondent. The not-absolute bulks of the moderation and median wholes of carbon monoxide emissions cannot be attendant from the histogram. 

Question 5:In the certaintys set appearancen beneath, the interrelation coefficient of the two fickles is: 

Correlation Facts Source -1.0. -0.5 0.0 None of the overhead. 

Question 6:The certaintys in the Excel spreadsheet linked beneath concede the ages and salaries of the chief ruler officers of 59 companies delay sales floating $5 concessionite and $350 concessionite. The interrelation floating age and allowance can be characterized as: CEO Salaries Strong and substantial. Strong and disclaiming. Weak and substantial. Weak and disclaiming. 

Question 7:For a conceden set of certaintys, the plummet intermission measures: The disagreement floating the moderation and the certaintys apex ultimate from the moderation. The disagreement floating the moderation and the certaintys apex rectilinear to the moderation. The disagreement floating the moderation and the median. None of the overhead. 

Question 8:The certaintys in the Excel spreadsheet linked beneath concede the medium vary reprimands of immodest currencies to the US dollar during October 2002. Over this epoch, which exotericity was most airy not-absolute to the US dollar, as measured by the coefficient of diversity? Vary Rates Source The Brazilian Real. The Euro. The Japanese Yen. The South Korean Won. 

Question 9:A general affair case intends to contemplate its subscribers to enumereprimand who they believe is the "CEO of the Century." Subscribers are invited to finished an onrow contemplate. Installed singly on this counsel, which of the forthcoming can be attendant environing the contemplate results? They conciliate be peculiar accordingly the case's subscribers are unconditioned to enumereprimand who the CEO of the date is. They conciliate precisely mirror the idea of the race as a whole environing who the CEO of the date is.They conciliate be unpeculiar accordingly the respondents conciliate be self-selected. They conciliate be peculiar accordingly subscribers who feel arrival to the onrow contemplate are not symbolical of the population of subscribers as a whole. 

Question 10: A political consultant precedes a contemplate to enumereprimand what pose the mayoral applicant she works for should grasp on a adapted smoking ban in restaurants. Which of the forthcoming contemplate questions conciliate save an unpeculiar reply? Should the city ban smoking in restaurants to defend our offspring from remedy-hand steam? Should tobacco steam, a unreserved suit of lung cancer, be banned from exoteric spaces such as restaurants? Does the city feel the fit to restrict recreational activities, such as limited decrement of alcohol or tobacco, on the antecedent of privately-owned affaires? None of the overhead. 

Question 11:In a recently administered IQ examination, the scores were reserved normally, delay moderation 100 and plummet intermission 15. What division of the examination grasprs scored floating 70 and 130? Environing 68%. Environing 84%. Environing 95%. Environing 99.5%. 

Question 12:Which of the forthcoming is not penny environing the Normal Distribution? It is symmetric.Its moderation and median are correspondent.It is finishedly illustrative by its moderation and its plummet intermission. It is bimodal. 

Question 13: The histogram beneath appearances the underlying arrangement mould of the results of a rolled die. Suppose the die is rolled 50 times and the results are mediumd. Suppose this regularity — rolling 50 dice and averaging their results — is continual 100 times. 

Which of the forthcoming best describes the arrangement of these 100 mediums? Skewed fit. Skewed left. Normal. Uniform. 

Question 14:A sustentation scrutinyer wants to enumereprimand the moderation fat conciliateing of hen's eggs. She collects a scantling of 40 eggs. She calculates a moderation fat conciliateing of 23 grams, delay a scantling plummet intermission of 8 grams. From these statistics she calculates a 90% faith gap of [20.9 grams, 25.1 grams]. What can the scrutinyer do to retrench the width of the faith gap? Acception the faith smooth. Retrench the faith smooth. Retrench the scantling bulk None of the overhead. 

Question 15:In a stray scantling of 321 senior citizens, 61 were establish to own a residence computer. Installed on this scantling, the 95% faith gap for the division of computer-owners floating senior citizens is:  [2.6%; 7.4%]. [13.4%; 24.6%]. [14.7%; 23.3%].The rejoinder cannot be enumerated from the counsel conceden. 

Question 16: Preliminary estimates allude-to that environing 58% of students at a avow university concession implementing an reverence method. To conquer a 95% faith gap for the division of all students at the university concessioning the reverence method, what is the restriction scantling bulk needed if the whole width of the faith gap must be hither than 5 percentage apexs (i.e., the faith gap should prolong at most 2.5 percentage apexs overhead and beneath the scantling division)? 375. 264. 1,498. The rejoinder cannot be enumerated from the counsel conceden. 

Question 17. In a contemplate of twelve Harbor Affair School graduates, the moderation starting allowance was $93,000, delay a plummet intermission of $17,000. The 95% faith gap for the medium starting allowance floating all Harbor graduates is:  [$83,382; $102,618]. [$82,727; $103,327]. [$82,199; $103,801]. [$59,000; $127,000]. 

Question 18: In a contemplate of 53 strayly selected patrons of a shopping mall, the moderation whole of exotericity carried is $42, delay a plummet intermission of $78. What is the 95% faith gap for the moderation whole of exotericity carried by mall patrons? [$39.1; $44.9]. [$24.4; $59.6]. [$21.0; $63.0]. [$14.4; $69.6]. 

Question 19: A satisfaction implement in a brewery is adapted to appoint bottles delay 355 ml of arduous cider. In exercise, however, dimensionss vary partially from bottle to bottle. In a scantling of 49 bottles, the moderation dimensions of cider is establish to be 354 ml, delay a plummet intermission of 3.5 ml. 

At a opinion smooth of 0.01, which omission can the brewer drag? The penny moderation dimensions of all bottles appointed is 354 ml. The implement is not satisfaction bottles to an medium dimensions of 355 ml. Tless is not tit trialimony to point-out that the implement is not satisfaction bottles to an medium dimensions of 355 ml. The implement is satisfaction bottles to an medium dimensions of 355 ml. 

Question 20: To precede a one-sided theory examination of the vindication that branchs located on nook lots (corner-lot branchs) feel loftyer medium selling figures than those located on non-nook lots, the forthcoming choice theory should be used: Branch Prices Facts Source The medium selling figure of a nook-lot branch is loftyer than it is commsingly believed to be. The medium selling figure of a nook-lot branch is loftyer than the medium selling figure of all branchs. The medium selling figure of a nook-lot branch is the corresponding as the medium selling figure of a branch not located on a nook lot. The medium selling figure of a nook-lot branch is loftyer than the medium selling figure of a branch not located on a nook lot. 

Question 21: The certaintys in the Excel spreadsheet linked beneath point-out the selling figures of branchs located on nook lots ("corner-lot branchs") and of branchs not located on nook lots. Precede a one-sided theory examination of the vindication that nook-lot branchs feel loftyer medium selling figures than those located on non-nook lots. Using a 99% faith smooth, which of the forthcoming avowments do the certaintys prop? Branch Prices Facts Source 

Upscale, rich neighborhoods feel past street nooks. The medium selling figure of a nook-lot branch is loftyer than that of the medium branch not located on a nook lot. The medium selling figure of a nook-lot branch is no past than that of the medium branch not located on a nook lot. Tless is not tit trialimony to prop the vindication that the medium selling figure of a nook-lot branch is loftyer than that of the medium branch not located on a nook lot. 

Question 22: Two semiconductor certaintyories are being compared to see if tless is a disagreement in the medium fault reprimands of the chips they consequence. In the pristine certaintyory, 250 chips are scantlingd. In the remedy certaintyory, 350 chips are scantlingd. The divisions of faultive chips are 4.0% and 6.0%, appertainingly. Using a faith smooth of 95%, which of the forthcoming avowments is proped by the certaintys? Tless is not tit trialimony to appearance a indicative disagreement in the medium fault reprimands of the two certaintyories. Tless is a indicative disagreement in the medium fault reprimands of the two certaintyories. The pristine certaintyory's medium fault reprimand is inferior than the remedy certaintyory's on 95 out of 100 days of influence.None of the overhead. 

Question 23: The retrogression segregation beneath relates medium annual per capita beef decrement (in pulverizes) and the defiant fickle "medium annual beef figure" (in dollars per pulverize). The coefficient on beef figure tells us that: 

Beef Decrement and Figure Source For full figure acception of $1, medium beef decrement retrenchs by 9.31 pulverizes. For full figure acception of $1, medium beef decrement acceptions by 9.31 pulverizes. For full figure acception $9.31, medium beef decrement retrenchs by 1 pulverize. 

For figure acception of $9.31, medium beef decrement acceptions by 1 pulverize. 

Question 24: The retrogression segregation beneath relates medium annual per capita beef decrement (in pulverizes) and the defiant fickle "medium annual beef figure" (in dollars per pulverize). In a year in which the medium figure of beef is at $3.51 per pulverize, we can forecast medium annual per capita beef decrement to be approximately: 

Beef Decrement and Figure 55.2 pulverizes 52.6 pulverizes 53.6 pulverizes 117.9 pulverizes 

Question 25:
The retrogression segregation beneath relates medium annual per capita beef decrement (in pulverizes) and the defiant fickle "medium annual per capita pork decrement" (in pulverizes). 

At what smooth is the coefficient of the defiant fickle pork decrement indicative? 

Beef Decrement and Pork Decrement Source 

0.10. 0.05. 0.01. 

None of the overhead. 

Question 26:
The retrogression segregation beneath relates medium annual per capita beef decrement (in pulverizes) and the defiant fickle "medium annual per capita pork decrement" (in pulverizes). 

Which of the forthcoming avowments is penny? 

Beef Decrement and Pork Decrement Source 

Beef decrement can never be hither than 65.09 pulverizes. Beef decrement can never be senior than 65.09 pulverizes. 

The y-intercept of the retrogression row is 65.09 pulverizes. The x-intercept of the retrogression row is 65.09 pulverizes.

Question 27: 

The retrogression segregation at the floor relates medium annual per capita beef decrement (in pulverizes) and the defiant fickles "medium annual per capita pork decrement" (in pulverizes) and "medium annual beef figure" (in dollars per pulverize). 

Which of the defiant fickles is indicative at the 0.01 smooth? 

Beef Consumption, Pork Consumption, and Beef Figure Source 

Beef figure singly.
Pork decrement singly. 

Both defiant fickles. Neither defiant fickle. 

Question 28: 

The retrogression segregation at the floor relates medium annual per capita beef decrement (in pulverizes) and the defiant fickles "annual per capita pork decrement" (in pulverizes) and "medium annual beef figure" (in dollars per pulverize). 

The coefficient for beef figure, -12, tells us that: 

Beef Consumption, Pork Consumption, and Beef Figure Source 

For full $1 acception in beef figure, medium beef decrement retrenchs by 12 lbs, not guiding for pork decrement. 

For full $12 droop in beef figure, medium beef decrement retrenchs by 1 lbs, not guiding for pork decrement. For full $1 acception in beef figure, medium beef decrement retrenchs by 12 lbs, guiding for pork 

consumption, i.e. usurpation pork decrement steady. 

For full $12 retrench in beef figure, medium beef decrement retrenchs by 1 lbs, guiding for pork decrement, i.e. usurpation pork decrement steady. 

Question 29: 

The certaintys in the Excel spreadsheet linked beneath concede the seasonally adjusted appraise of whole new car sales (in concessionites of dollars) in the United States, whole general wage and allowance disbursements (referred to less as "compensation") (in billions of dollars), and the usurpation smooth in the non- unroving sector (in thousands) for 44 coherent quarters. An auto perseverance ruler wants to comprehend how polite she can foreshadow new car sales two quarters in action using the ordinary quarter's pay certaintys. 

How sundry certaintys apexs can she use in a retrogression segregation using the certaintys affordd? 

Car Sales Facts 41. 42. 43. 44. 

Question 30: 

The Excel spreadsheet linked beneath contains the humble retrogressions of whole new car sales (in concessionites of dollars) on each of two defiant fickles: "compensation" (in billions of dollars) and "usurpation smooth in the non- unroving sector" (in thousands) . 

Which of the forthcoming defiant fickles explains past than 90 percent of the observed diversity in new car sales? 

Car Sales Humble Regressions Source 

Compensation singly. Usurpation smooth singly.
Both defiant fickles. Neither defiant fickle. 

Question 31: 

The retrogression segregation beneath relates the appraise of new car sales (in concessionites of dollars) to pay (in billions of dollars) and the usurpation smooth in the non-unroving sector (in thousands) for 44 coherent quarters. 

Which of the two defiant fickles is statistically indicative at the 0.05 smooth? 

Car Sales Multiple Retrogression Source 

Compensation singly. Usurpation smooth singly.
Both defiant fickles. Neither defiant fickle. 

Question 32: 

The retrogression segregation beneath relates the appraise of new car sales (in concessionites of dollars) and the defiant fickles "compensation" (in billions of dollars) and "usurpation smooth in the non -unroving sector" (in thousands) for 44 coherent quarters. Compare this multiple retrogression to the humble retrogressions delay pay and usurpation smooth as the appertaining defiant fickles. 

Which of the forthcoming is the likely malefactor of the melomelodramatic acception in the p-appraise for usurpation smooth in the multiple retrogression? 

Car Sales Regressions Source Multicollinearity. Heteroskedasticity. Nonlinearity. None of the overhead. 

Question 33:
The retrogression segregation beneath relates the appraise of new car sales (in concessionites of dollars) and the defiant fickles "compensation" (in billions of dollars) and "usurpation smooth in the non-unroving sector" (in thousands) for 44 coherent quarters. 

The coefficient for usurpation smooth, 0.21, describes: 

Car Sales Multiple Retrogression Source 

The action of car sales as the usurpations smooth varys, guiding for pay. The action of the usurpation smooth as car sales vary, not guiding for pay. The action of car sales as the usurpation smooth varys, not guiding for pay. The action of the usurpation smooth as car sales vary, guiding for pay. 

Question 34: 

A new lineage influence composition is being examinationed. The retrogression segregation beneath describes the relationship floating the 41 examination matters' diastolic lineage influence and the dummy fickle "medication." When a examination matter is prelude the new refuse, the appraise of medication is 1, when not, the appraise of medication is 0. 

Which of the forthcoming can be attendant from the retrogression segregation? 

Blood Influence Source 

The medication has no statistically indicative goods (at a 0.01 opinion smooth). 

The use of medication representations for environing 42% of the diversity in diastolic lineage influence.
On medium, examination matters prelude the medication fame a diastolic lineage influence smooth environing 5 apexs inferior than those 

not prelude the medication. None of the overhead. 

Question 35:
In a retrogression segregation, a residual conspire is: 

A plant diagram that conspires the appraises of the residuals abutting the appraises of the relying fickle. A plant diagram that conspires the appraises of the residuals abutting the appraises of an defiant fickle. 

A histogram that conspires the enumerate of established appraise ranges of the residuals. 

None of the overhead. 

Question 36: 

In a retrogression segregation, if a new defiant fickle is external and R-squared acceptions and adjusted R-squared retrenchs precipitously, what can be concluded? 

The new defiant fickle emends the foreshadowive ability of the retrogression copy. The new defiant fickle does not emend the foreshadowive ability of the retrogression copy. 

The retrogression was effected improperly. It is impracticable for R-squared to acception and adjusted R-squared retrench unitedly. 

The new defiant fickle's coefficient is not indicative at the 0.01 smooth. 

Question 37: 

The consultation beneath displays certaintys the Pristine Bank of Silverhaven (FBS) has composed on the singular savings representations of its job-usurpation customers. The consultation includes certaintys on the arrangement of the enumerate of representations held by Homeowners vs. Non-Homeowners, and by whether the customer is Self-Employed or is Filled by a solid in which he or she does not feel an tenure peril. What is the appearance that a conceden representation-holder is self-employed? 15% 12% 3% None of the overhead. 

Question 38: 

The consultation beneath displays certaintys the Pristine Bank of Silverhaven (FBS) has composed on the singular savings representations of its job-usurpation customers. The consultation includes certaintys on the arrangement of the enumerate of representations held by Homeowners vs. Non-Homeowners, and by whether the customer is Self-Employed or is Filled by a solid in which he or she does not feel an tenure peril. 

What is the niggardly appearance that an representation-holder is filled by a solid in which he or she does not feel an tenure peril, conceden that the representation-holder is a residenceowner? 82.9%68.2%59.5%None of the overhead. 

Question 39: 

The consultation beneath displays certaintys the Pristine Bank of Silverhaven (FBS) has composed on the singular savings representations of its job-usurpation customers. The consultation includes certaintys on the arrangement of the enumerate of representations held by Homeowners vs. Non-Homeowners, and by whether the customer is Self-Employed or is Filled by a solid in which he or she does not feel an tenure peril. 

Which of the forthcoming avowments is penny? 

Home tenure and usurpation standing are statistically relying. 

The certainty that a conceden singular representation is held by a residenceowner tells us molehill environing the representation holder's usurpation standing. 

The certainty that a conceden singular representation is held by a self-filled special tells us molehill environing the representation-holder's residence tenure standing. 

None of the overhead. 

Question 40: 

Electronics creator SE must determine whether or not to endow in the outgrowth of a new image of battery. If the outgrowth surpasss, the bargain for the battery may be vast or minute. If it doesn't surpass, the outgrowth efforts may or may not genereprimand junior innovations that would offset some of the battery's outgrowth costs. The tree beneath summarizes the resolution. 

What is the forecasted monetary appraise of lay-opening the new battery?   

$0.3 concessionite -$0.5 concessionite $0.9 concessionite $1.5 concessionite 

Question 41: 

Electronics creator SE must determine whether or not to endow in the outgrowth of a new image of battery. If the outgrowth surpasss, the bargain for the battery may be vast or minute. If it doesn't surpass, the outgrowth efforts may or may not genereprimand junior innovations that would offset some of the battery's outgrowth costs. The tree beneath summarizes the resolution. 

The EMV of lay-opening the new battery is $300,000. Installed on EMV, SE should lay-open the battery. If the superintendent chooses not to lay-open the battery, which of the forthcoming best describes the superintendent's lie towards this resolution?  

Risk disinclined. Risk uninterfering. Risk seeking. Cowardly. 

Question 42: 

Electronics creator SE must determine whether or not to endow in the outgrowth of a new image of battery. If the outgrowth surpasss, the bargain for the battery may be vast or minute. If it doesn't surpass, the outgrowth efforts may or may not genereprimand junior innovations that would offset some of the battery's outgrowth costs. The tree beneath summarizes the resolution. 

The EMV of lay-opening the new battery is $300,000. Installed on EMV, SE should lay-open the battery. For what appraises of p = Prob[success] does lay-opening the battery feel a inferior EMV than not lay-opening the battery? p < 25% p > 25% p < 75% None of the overhead. 

Question 43: 

Electronics creator SE must determine whether or not to endow in the outgrowth of a new image of battery. If the outgrowth surpasss, the bargain for the battery may be vast or minute. If it doesn't surpass, the outgrowth efforts may or may not genereprimand junior innovations that would offset some of the battery's outgrowth costs. The tree beneath summarizes the resolution. 

The EMV of lay-opening the new battery is $300,000. Installed on EMV, SE should lay-open the battery. Fond that outgrowth is consummationful, for what endapex appraises for a vast bargain does lay-opening the battery feel a inferior EMV than not lay-opening the battery? 

Less than $1.2 concessionite. Senior than $1.2 concessionite. Senior than $0.75 concessionite. None of the overhead. 

Question 44: 

The superintendent of the Eris Shoe Company must determine whether or not to narrow a controversial sports reputation as its spokesperson. The new spokesperson's appraise to Eris depends heavily on consumers' understanding of him. An moderate resolution segregation installed on suited certaintys reveals that the forecasted monetary appraise of narrowing the new spokesspecial is $260,000. For $50,000 Eris can enlist a bargain scrutiny solid that conciliate acceleration Eris collect past environing how consumers sway result to the reputation. The EMV of buying this scantling counsel (magnificent it is unimpeded) for this resolution is $300,000. 

The tree beneath summarizes Eris's resolution. Installed on EMV segregation, Eris's superintendent should:

Hire the scrutiny solid.Not commission the scrutiny solid, but narrow the new spokesperson. Not commission the scrutiny solid and not narrow the new spokesperson. The rejoinder cannot be enumerated from the counsel affordd.