Exam 18: A Roadmap for Analyzing Data

A few years ago, Pepsi invited consumers to take the "Pepsi Challenge." Consumers were asked To decide which of two sodas, Coke or Pepsi, they preferred in a blind taste test.Pepsi was Interesting in determining what factors played a role in people's taste preferences.One of the Factors studied was the gender of the consumer.Data on the percentage of men and women Depicting preference for Pepsi were collected.Which of the following tests will you use to find Out if there is any difference in preference between the different gender groups?

A quality control manager at a plant that produces o-rings is concerned about whether the Diameter of the o-rings that are produced is conformable to the specification.She has calculated That the average diameter of the o-rings is 4.2 centimeters.She also knows that approximately 95% of the o-rings have diameters fall between 3.2 and 5.2 centimeters and almost all of the o- Rings have diameters between 2.7 and 5.7 centimeters.When modeling the diameters of the o- Rings, which distribution should the scientists use?

A contractor wants to forecast the number of contracts in future quarters, using quarterly data on Number of contracts over the last 10 years.Which of the following would be the most Appropriate analysis to perform?

The probability of receiving a 911 call on a university campus is the same every day.The Probability of having received a 911 call on a single day does not change the probability of Receiving a 911 call on any other day.Which of the following distributions would you use to Determine the probability that a 911 call will be received next day?

An insurance company evaluates many variables about a person before deciding on an Appropriate rate for automobile insurance.A representative from a local insurance agency Selected a random sample of 15 insured drivers and recorded the amount of claims each made in The last 3 years.Based on this information, which of the following will you construct to learn About the mean amount of claims made by the company's customer?

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 Varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in Bushels per acre.She has found out that the different varieties do have an impact on crop yield. Which of the following tests will be the most appropriate to find out which variety will produce The highest yield?

The probability that a particular brand of smoke alarm will function properly and sound an alarm In the presence of smoke is 0.8.You have 5 such alarms in your home and they operate Independently.Which of the following distributions would you use to determine the probability That all of them will function properly in case of a fire?

Suppose the probability of a power outage at a nuclear power plant on a single day is the same Every day of the year.Also the probability of having a power outage on a single day does not Increase or decrease the probability of a power outage on another day.Which of the following Distributions would you use to determine the probability that a power outage will occur next Monday?

An Undergraduate Study Committee of 6 members at a major university is to be formed from a Pool of faculty of 18 men and 6 women.Which of the following distributions would you use to Determine the probability that half of the members will be women?

SCENARIO 18-9 What are the factors that determine the acceleration time (in sec.)from 0 to 60 miles per hour of a car? Data on the following variables for 171 different vehicle models were collected: Accel Time: Acceleration time in sec. Cargo Vol: Cargo volume in cu.ft. HP: Horsepower MPG: Miles per gallon SUV: 1 if the vehicle model is an SUV with Coupe as the base when SUV and Sedan are both 0 Sedan: 1 if the vehicle model is a sedan with Coupe as the base when SUV and Sedan are both 0 The regression results using acceleration time as the dependent variable and the remaining variables as the independent variables are presented below. The various residual plots are as shown below. A Roadmap for Analyzing Data 18-63 18-64 A Roadmap for Analyzing Data -Referring to Scenario 18-9, what is the correct interpretation for the estimated coefficient for MPG?

Data on the amount of money made in a year by 1000 families in a small town were collected. You want to know how much each family will get if the money made by all the 1000 families is Pooled together and then evenly redistributed back to them.Which of the following would you Compute?

A certain type of rare gem serves as a status symbol for many of its owners.In theory, for low Prices, the demand increases and it decreases as the price of the gem increases.However, experts Hypothesize that when the gem is valued at very high prices, the demand increases with price due To the status owners believe they gain in obtaining the gem.Data on price and quantity sold were Collected for a sample of 35 rare gems of this type.Which of the following would be the most Appropriate analysis to perform?

SCENARIO 18-9 What are the factors that determine the acceleration time (in sec.)from 0 to 60 miles per hour of a car? Data on the following variables for 171 different vehicle models were collected: Accel Time: Acceleration time in sec. Cargo Vol: Cargo volume in cu.ft. HP: Horsepower MPG: Miles per gallon SUV: 1 if the vehicle model is an SUV with Coupe as the base when SUV and Sedan are both 0 Sedan: 1 if the vehicle model is a sedan with Coupe as the base when SUV and Sedan are both 0 The regression results using acceleration time as the dependent variable and the remaining variables as the independent variables are presented below. The various residual plots are as shown below. A Roadmap for Analyzing Data 18-63 18-64 A Roadmap for Analyzing Data -True or False: Referring to Scenario 18-9, the 0 to 60 miles per hour acceleration time of a coupe is predicted to be 0.7679 seconds lower than that of an SUV.

SCENARIO 18-6 -Referring to Scenario 18-6, what is the experimental unit for this analysis?

Suppose that past history shows that 6% of college students prefer Brand A Cola.A sample of 10,000 students is to be selected.Which of the following distributions would you use to Compute the probability that at least half of them will prefer Brand A cola?

A powerful women's group has claimed that men and women differ in attitudes about sexual Discrimination.A group of 50 men (group 1)and 40 women (group 2)were asked if they thought Sexual discrimination is a problem in the United States.Of those sampled, 11 of the men and 19 Of the women did believe that sexual discrimination is a problem.Which of the following tests Will you use to find out if there is any difference in attitudes about sexual discrimination?

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches.To Test this claim, a random sample of 100 doctors results in 83 who indicate that they recommend Aspirin.Which of the following tests will you perform?

A researcher randomly sampled 30 graduates, 18 males and 12 females, of an MBA program and Recorded data concerning their starting salaries.Of primary interest to the researcher was the Effect of gender on starting salaries.Statistics of the mean salaries of the females and males in The sample were computed.The sample standard deviations suggest that the variability of Starting salaries of the two groups is almost the same.Suppose the starting salaries from both Groups can be considered as normally distributed.Which of the following tests will be the most Appropriate?