Jim is an engineer who designs roller coasters. He wants to develop a ride that 95% of the population can ride. The average adult in Canada has a mass of 71kg with a standard deviation of 10kg. What range of masses should he be prepared to anticipate? Justify your response.
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Jim is an engineer who designs roller coasters. He wants to develop a ride that 95% of the
population can ride. The average adult in Canada has a mass of 71kg with a standard
deviation of 10kg. What range of masses should he be prepared to anticipate? Justify your
response.
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- A researcher is interested in the relationship between students’ participation in two after school programs and academic achievement. She states the following hypothesis in the description of her study: H1. Children who participate in an after school program that emphasizes critical thinking skills will score higher on measures of academic achievement and self esteem than students who participate in a program that emphasizes rote memorization. What are the variables in this study? What would be good names for the variables? Identify the independent variable(s) and dependent variable(s). Describe how each variable varies and provide justification for why each variable varies the way you describe?All MBA students have to take entry test for admission to AUAF. Scores are normally distributed with a mean of 230 and standard deviation of 40. What fraction of applicants would you expect to have scores of 300 or above? A- 0.0401 B- 0.4599 C- 0.5401 D- 0.0325In the original OJ Simpson trial, it was accepted that OJ had battered his wife. OJ’s lawyer tried to negate the impact of this information by stating that in a one-year period, only 1 out of 2500 battered women are murdered, so the fact that OJ battered his wife does not give much evidence that he was the murderer. The prosecution (foolishly!) let this go unchallenged. Here are the relevant statistics: In a typical year 6.25 million women are battered, 2500 are battered and murdered, and 2250 of the women who were battered and murdered were killed by the batterer. How should the prosecution have refuted the defense’s argument?
- Given two independent random samples with the following results: n1=441 x1=185 n2=560 x2=351 Can it be concluded that there is a difference between the two population proportions? Use a significance level of α=0.05 for the test. Step 1 of 6: State the null and alternative hypotheses for the test. Step 2 of 6: Find the values of the two sample proportions, p^1 and p^2. Round your answers to three decimal places. Step 3 of 6: Compute the weighted estimate of p,p‾. Round your answer to three decimal places. Step 4 of 6: Compute the value of the test statistic. Round your answer to two decimal places. Step 5 of 6: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to two decimal places. Reject H0 if ...... ...... ...... Step 6 of 6: Make the decision for the hypothesis test.The chart below is a summary of the main results of a test data set representing the population observed purchasing a virtual digital assistant. What does the accuracy rate indicate? Metrics Metric Value Accuracy (#correct) 178 Accuracy (%correct) 85.6 Specificity 0.88219 Sensitivity (Recall) 0.6 Precision 0.82400 F1 Score 0.88213 Success Class 1 Success Probability 0.4 Multiple Choice 85.6% of the population has purchased a virtual assistant. 60% of the observations are correctly classified. 85.6% of the observations are correctly classified. 14.4% of the observations are correctly classified. Explain all the incorrect answers alsoSuppose a social psychologist sets out to see whether having children is related to relationship longevity. He decides to measure relationship satisfaction in a group of couples with children and a group of childless couples. He chooses the Marital Satisfaction Inventory because it refers to “partner” and “relationship” rather than “spouse” and “marriage,” which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater relationship satisfaction. The psychologist administers the Marital Satisfaction Inventory to 58 couples—30 are couples with children and 28 are childless couples. He wants to calculate the correlation between a couple’s relationship satisfaction and whether they have children. Which of the following types of correlations would be most appropriate for the psychologist to use?
- Why is it problematic to find the most useful numbers/statistics in football? Select all that apply 1 Football is younger than baseball, so good measures have not been found yet 2 Many football positions are dependent on other players, so it is hard to evaluate their own contribution to the win 3 Football is more complicated than baseball or basketball 4 Football season contains less games than in hockey or basketball; this inexperience leads to inconsistency of measuresThe file P14_01.xlsx contains data on 100 consumers who drink beer. Some of them prefer light beer, and others prefer regular beer. A major beer producer believes that the following variables might be useful in discriminating between these two groups: gender, marital status, annual income level, and age. a. Use logistic regression to classify the consumers on the basis of these explanatory variables. How successful is it? Which variables appear to be most important in the classification? b. Consider a new customer: Male, Married, Income 42,000, Age 47. Use the logistic regression equation to estimate the probability that this customer prefers Regular. How would you classify this person?Use Excels functions (not @RISK) to generate 1000 random numbers from a normal distribution with mean 100 and standard deviation 10. Then freeze these random numbers. a. Calculate the mean and standard deviation of these random numbers. Are they approximately what you would expect? b. What fraction of these random numbers are within k standard deviations of the mean? Answer for k = 1; for k = 2; for k = 3. Are the answers close to what they should be (about 68% for k = 1, about 95% for k = 2, and over 99% for k = 3)? c. Create a histogram of the random numbers using about 10 bins of your choice. Does this histogram have approximately the shape you would expect?
- XYZ Company is planning an advertising campaign for its new product. The media considered are television and radio. Rated exposures per thousand dollars of advertising expenditure are 10,000 for TV and 7,500 for radio. Management has agreed that the campaign cannot be judged successful if total exposures are under 750,000. The campaign would be viewed as superbly successful if 1 million exposures occurred. In addition, the company has realized that the two most important audiences for its product are persons 18 to 21 years of age and persons 25 to 30 years of age. The following table estimates the number of individuals in the two age groups expected to be exposed to advertisements per $ 1,000 of expenditures: Exposures per $1000 Age Television Radio 18‑21 2,500 3,000 25‑30 3,000 1,500…XYZ Company is planning an advertising campaign for its new product. The media considered are television and radio. Rated exposures per thousand dollars of advertising expenditure are 10,000 for TV and 7,500 for radio. Management has agreed that the campaign cannot be judged successful if total exposures are under 750,000. The campaign would be viewed as superbly successful if 1 million exposures occurred. In addition, the company has realized that the two most important audiences for its product are persons 18 to 21 years of age and persons 25 to 30 years of age. The following table estimates the number of individuals in the two age groups expected to be exposed to advertisements per $ 1,000 of expenditures: Exposures per $1000 Age TelevisionRadio 1821 2,5003,000 2530 3,0001,500 Management has rank ordered five goals it wishes to achieve, arranged from highest to lowest priorities. a) Achieve total exposures of at least 750,000 persons. b) Avoid…Hi is this correct?The management of an oil company is trying to decide whether to drill for oil in a particular fieldin the Gulf of Mexico. It costs the company $600 thousand to drill in the selected field. Themanagement believes that if oil is found in this field, its estimated value will be $3400 thousand. Atpresent, this oil company believes that there is a 45% chance that the selected field actually containsoil. Before drilling, the oil company can hire a team of geologists to perform seismographic tests at acost of $55 thousand. Based on similar tests in other fields, the tests have a 25% false negative rate(no oil predicted when oil is present) and a 15% false positive rate (oil predicted when no oil ispresent).A. Assume the oil company wants to maximize its expected net earnings. Please utilize decisiontree analysis to determine its optimal strategy.B. Calculate the expected value of the information (EVI/EVSI) provided by the team ofgeologists.C. Calculate and interpret EVPI…