Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 6.4, Problem 25SE
At a Noodles & Company restaurant, the
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A marketing professor has surveyed the students at her university to better understand attitudes towards PPT usage for higher education. To be able to make inferences to the entire student body, the sample drawn needs to represent the university’s student population on all key characteristics. The table below shows the five key student demographic variables. The professor found the breakdown of the overall student body in the university’s fact book posted online.
A non-parametric chi-square test was used to test the sample demographics against the population percentages shown in the table above. Review the output for the five chi-square tests on the following pages and answer the five questions:
Based on the chi-square test, which sample variables adequately represent the university’s student population and which ones do not? Support your answer by providing the p-value of the chi-square test and explaining what it means.
Using the results from Question 1, make recommendation for…
A marketing professor has surveyed the students at her university to better understand attitudes towards PPT usage for higher education. To be able to make inferences to the entire student body, the sample drawn needs to represent the university’s student population on all key characteristics. The table below shows the five key student demographic variables. The professor found the breakdown of the overall student body in the university’s fact book posted online.
A non-parametric chi-square test was used to test the sample demographics against the population percentages shown in the table above. Review the output for the five chi-square tests on the following pages and answer the five questions:
Based on the chi-square test, which sample variables adequately represent the university’s student population and which ones do not? Support your answer by providing the p-value of the chi-square test and explaining what it means.
Using the results from Question 1, make recommendation for…
A retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP).
What were the average sales for the standard POP display (control group)?
What were the sales for the digital display (experimental group)?
What is the (mean) difference in sales between the experimental group and control group?
List the null hypothesis being tested.
Do you reject or retain the null hypothesis based on the results of the independent t-test?
Was the difference between the…
Chapter 6 Solutions
Applied Statistics in Business and Economics
Ch. 6.1 - Which of the following could not be probability...Ch. 6.1 - On hot, sunny, summer days, Jane rents inner tubes...Ch. 6.1 - On the midnight shift, the number of patients with...Ch. 6.2 - On hot, sunny, summer days, Jane rents inner tubes...Ch. 6.2 - On the midnight shift, the number of patients with...Ch. 6.2 - Pepsi and Mountain Dew products sponsored a...Ch. 6.2 - Student Life Insurance Company wants to offer an...Ch. 6.2 - A lottery ticket has a grand prize of 28 million....Ch. 6.2 - Oxnard Petro Ltd. is buying hurricane insurance...Ch. 6.3 - Prob. 10SE
Ch. 6.3 - Prob. 11SECh. 6.3 - Prob. 12SECh. 6.4 - List the X values that are included in each...Ch. 6.4 - Write the probability of each italicized event in...Ch. 6.4 - Find the mean and standard deviation for each...Ch. 6.4 - Prob. 16SECh. 6.4 - Calculate each binomial probability: a. X = 5, n =...Ch. 6.4 - Calculate each binomial probability: a. X = 2, n =...Ch. 6.4 - Prob. 19SECh. 6.4 - Prob. 20SECh. 6.4 - Prob. 21SECh. 6.4 - Calculate each binomial probability: a. Fewer than...Ch. 6.4 - In the Ardmore Hotel, 20 percent of the customers...Ch. 6.4 - Historically, 5 percent of a mail-order firms...Ch. 6.4 - At a Noodles Company restaurant, the probability...Ch. 6.4 - J.D. Power and Associates says that 60 percent of...Ch. 6.4 - Prob. 27SECh. 6.4 - Police records in the town of Saratoga show that...Ch. 6.5 - Find the mean and standard deviation for each...Ch. 6.5 - Find the mean and standard deviation for each...Ch. 6.5 - Calculate each Poisson probability: a. P(X = 6), ...Ch. 6.5 - Prob. 32SECh. 6.5 - Calculate each compound event probability: a. P(X ...Ch. 6.5 - Calculate each compound event probability: a. P(X ...Ch. 6.5 - Prob. 35SECh. 6.5 - Prob. 36SECh. 6.5 - According to J.D. Power and Associates 2006...Ch. 6.5 - At an outpatient mental health clinic, appointment...Ch. 6.5 - The average number of items (such as a drink or...Ch. 6.5 - (a) Why might the number of yawns per minute by...Ch. 6.5 - Prob. 41SECh. 6.5 - Prob. 42SECh. 6.5 - Prob. 43SECh. 6.5 - Prob. 44SECh. 6.5 - The probability that a passenger's bag will be...Ch. 6.6 - (a) State the values that X can assume in each...Ch. 6.6 - ABC Warehouse has eight refrigerators in stock....Ch. 6.6 - A statistics textbook chapter contains 60...Ch. 6.6 - Fifty employee travel expense reimbursement...Ch. 6.6 - A medical laboratory receives 40 blood specimens...Ch. 6.6 - Prob. 51SECh. 6.6 - Two hundred employee travel expense reimbursement...Ch. 6.6 - A law enforcement agency processes 500 background...Ch. 6.6 - Four hundred automobiles arc to be inspected for...Ch. 6.7 - Find each geometric probability. a. P(X = 5) when ...Ch. 6.7 - In the Ardmore Hotel. 20 percent of the guests...Ch. 6.7 - Prob. 57SECh. 6.8 - The height of a Los Angeles Lakers basketball...Ch. 6.8 - The height of a Los Angeles Lakers basketball...Ch. 6.8 - Prob. 60SECh. 6.8 - Prob. 61SECh. 6 - Define (a) random process, (b) random variable,...Ch. 6 - Without using formulas, explain the meaning of (a)...Ch. 6 - What is the difference between a PDF and a CDF?...Ch. 6 - (a) What are the two parameters of a uniform...Ch. 6 - (a) Describe a Bernoulli experiment and give two...Ch. 6 - Prob. 6CRCh. 6 - (a) What are the parameters of a Poisson...Ch. 6 - In the binomial and Poisson models, why is the...Ch. 6 - (a) When are we justified in using the Poisson...Ch. 6 - Prob. 10CRCh. 6 - When are we justified in using (a) the Poisson...Ch. 6 - Name a situation when we would need the (a)...Ch. 6 - What do Rules 1 and 2 say about transforming a...Ch. 6 - What do Rules 3 and 4 say about sums of several...Ch. 6 - In Rule 5, what does the covariance measure? What...Ch. 6 - The probability that a 30-year-old white male will...Ch. 6 - Prob. 63CECh. 6 - Prob. 64CECh. 6 - Prob. 66CECh. 6 - In a certain year, on average 10 percent of the...Ch. 6 - The probability that an American CEO can transact...Ch. 6 - In a certain Kentucky Fried Chicken franchise,...Ch. 6 - In a certain Kentucky Fried Chicken franchise,...Ch. 6 - Write the Excel binomial formula for each...Ch. 6 - Tired of careless spelling and grammar, a company...Ch. 6 - Prob. 73CECh. 6 - Prob. 74CECh. 6 - Prob. 75CECh. 6 - Write the Excel formula for each Poisson...Ch. 6 - A small feeder airline knows that the probability...Ch. 6 - Although television HDTV converters are tested...Ch. 6 - Prob. 79CECh. 6 - There is a 70 percent chance that an airline...Ch. 6 - Lunch customers arrive at a Noodles Company...Ch. 6 - In a major league baseball game, the average is...Ch. 6 - Prob. 83CECh. 6 - In a recent year, potentially dangerous commercial...Ch. 6 - At an outpatient mental health clinic, appointment...Ch. 6 - Prob. 86CECh. 6 - Prob. 87CECh. 6 - Past insurance company audits have found that 2...Ch. 6 - Prob. 89CECh. 6 - In Northern Yellowstone Lake, earthquakes occur at...Ch. 6 - On New Yorks Verrazano Narrows bridge, traffic...Ch. 6 - Leaks occur in a pipeline at a mean rate of 1 leak...Ch. 6 - Prob. 93CECh. 6 - The probability is .03 that a passenger on United...Ch. 6 - Prob. 95CECh. 6 - On average, 2 percent of all persons who are given...Ch. 6 - Prob. 97CECh. 6 - Prob. 99CECh. 6 - The probability that a bakery customer will order...Ch. 6 - Prob. 101CECh. 6 - For patients aged 81 to 90, the probability is .07...Ch. 6 - Prob. 103CECh. 6 - Prob. 104CECh. 6 - Prob. 105CECh. 6 - The Rejuvo Corp. manufactures granite countertop...Ch. 6 - Prob. 107CECh. 6 - Prob. 108CECh. 6 - Prob. 109CECh. 6 - Prob. 110CECh. 6 - Malaprop Ltd. sells two products. Daily sales of...
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- What were the average sales for the four weeks prior to the experiment? What were the sales during the four weeks when the stores used the digital display? What is the mean difference in sales between the experimental and regular POP time periods? State the null hypothesis being tested by the paired sample t-test. Do you reject or retain the null hypothesis? At a 95% significance level, was the difference significant? Explain why or why not using the results from the paired sample t-test. Should the manager of the retail chain install new digital displays in each store? Justify your answer.arrow_forwardA retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP). What were the average sales for the standard POP display (control group)? What were the sales for the digital display (experimental group)? What is the (mean) difference in sales between the experimental group and control group? List the null hypothesis being tested. Do you reject or retain the null hypothesis based on the results of the independent t-test? Was the difference between the…arrow_forwardQuestion 4 An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a silver powder production process. This product is used in conductive pastes to manufacture a wide variety of products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area (cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was replicated twice. The design is shown in Table 3. A222222222222233 Stir Rate (RPM) Ammonium (%) Table 3: Silver Powder Experiment from Exercise 13.23 Temperature (°C) Density Surface Area 100 8 14.68 0.40 100 8 15.18 0.43 30 100 8 15.12 0.42 30 100 17.48 0.41 150 7.54 0.69 150 8 6.66 0.67 30 150 8 12.46 0.52 30 150 8 12.62 0.36 100 40 10.95 0.58 100 40 17.68 0.43 30 100 40 12.65 0.57 30 100 40 15.96 0.54 150 40 8.03 0.68 150 40 8.84 0.75 30 150…arrow_forward
- - + ++ Table 2: Crack Experiment for Exercise 2 A B C D Treatment Combination (1) Replicate I II 7.037 6.376 14.707 15.219 |++++ 1 བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ a b ab 11.635 12.089 17.273 17.815 с ас 10.403 10.151 4.368 4.098 bc abc 9.360 9.253 13.440 12.923 d 8.561 8.951 ad 16.867 17.052 bd 13.876 13.658 abd 19.824 19.639 cd 11.846 12.337 acd 6.125 5.904 bcd 11.190 10.935 abcd 15.653 15.053 Question 3 Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment method (C), is a categorical variable. Assume that the remaining factors are continuous. (a) Write two regression models for predicting crack length, one for each level of the heat treatment method variable. What differences, if any, do you notice in these two equations? (b) Generate appropriate response surface contour plots for the two regression models in part (a). (c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method C = +? (d) Repeat…arrow_forwardQuestion 2 A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content (B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The data are shown in Table 2. 1 (a) Estimate the factor effects. Which factor effects appear to be large? (b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05. (c) Write down a regression model that can be used to predict crack length as a function of the significant main effects and interactions you have identified in part (b). (d) Analyze the residuals from this experiment. (e) Is there an…arrow_forwardA 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data from this experiment are shown in Table 4. Table 4: Resistivity Experiment for Exercise 5 Run A B с D Resistivity 1 23 2 3 4 5 6 7 8 9 10 11 12 I+I+I+I+Oooo 0 0 ||++TI++o000 33.2 4.6 31.2 9.6 40.6 162.4 39.4 158.6 63.4 62.6 58.7 0 0 60.9 3 (a) Estimate the factor effects. Plot the effect estimates on a normal probability scale. (b) Identify a tentative model for this process. Fit the model and test for curvature. (c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on this plot of model inadequacy? (d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the normality assumption?arrow_forward
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