EP STATISTICS-MYLAB STAT.ACCESS (18 WK)
13th Edition
ISBN: 9780135819999
Author: MCCLAVE
Publisher: PEARSON CO
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Chapter 4.2, Problem 17UP
To determine
Explain three different ways of representing 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 4 Solutions
EP STATISTICS-MYLAB STAT.ACCESS (18 WK)
Ch. 4.1 - What is a random variable?
Ch. 4.1 - How do discrete and continuous random variables...Ch. 4.1 - Type of Random Variable. Classify the following...Ch. 4.1 - Type of Random Variable. Identify the following...Ch. 4.1 - Type of Random Variable. Identify the following...Ch. 4.1 - 4.3 NHTSA crash tests. Refer to the National...Ch. 4.1 - 4.4 Customers in line at a Subway shop. The number...Ch. 4.1 - Sound waves from a basketball. Refer to the...Ch. 4.1 - Mongolian desert ants. Refer to the Journal of...Ch. 4.1 - Motivation of drug dealers. Refer to the Applied...
Ch. 4.1 - Psychology. Give an example of a discrete random...Ch. 4.1 - Sociology. Give an example of a discrete random...Ch. 4.1 - Nursing. Give an example of a discrete random...Ch. 4.1 - Art history. Give an example of a discrete random...Ch. 4.1 - Irrelevant speech effects. Refer to the Acoustical...Ch. 4.1 - Shaft graves in ancient Greece. Refer to the...Ch. 4.2 - Give three different ways of representing the...Ch. 4.2 - Consider the following probability...Ch. 4.2 - 4.11 A discrete random variable x can assume five...Ch. 4.2 - Explain why each of the following is or is not a...Ch. 4.2 - The random variable x has the following discrete...Ch. 4.2 - The random variable x has the discrete probability...Ch. 4.2 - 4.16 Toss three fair coins and let x equal the...Ch. 4.2 - Use the applet entitled Random Numbers to generate...Ch. 4.2 - Run the applet entitled Simulating the Probability...Ch. 4.2 - Size of TV households. According to Nielsen’s...Ch. 4.2 - 4.25 Do social robots walk or roll? Refer to the...Ch. 4.2 - NHTSA crash tests. Refer to the National Highway...Ch. 4.2 - Downloading apps to your cell phone. According to...Ch. 4.2 - Controlling the water hyacinth. An insect that...Ch. 4.2 - Gender in two-child families. Human Biology (Feb....Ch. 4.2 - Environmental vulnerability of amphibians. Many...Ch. 4.2 - The “last name” effect in purchasing. The Journal...Ch. 4.2 - Solar energy cells. According to the Earth Policy...Ch. 4.2 - 4.29 Contaminated gun cartridges. A weapons...Ch. 4.2 - Prob. 34ACICh. 4.2 - Prob. 35ACICh. 4.2 - Reliability of a manufacturing network. A team of...Ch. 4.2 - 4.38 Voter preferences for a committee. A...Ch. 4.2 - Prob. 38ACACh. 4.2 - Robot-sensor system configuration. Engineers at...Ch. 4.3 - What does the expected value of a random variable...Ch. 4.3 - Will E(x) always be equal to a specific value of...Ch. 4.3 - For a mound-shaped, symmetric distribution, what...Ch. 4.3 - Consider the probability distribution for the...Ch. 4.3 - 4.18 Consider the probability distribution for the...Ch. 4.3 - Consider the probability distributions shown...Ch. 4.3 - 4.17 Consider the probability distribution...Ch. 4.3 - NHTSA car crash tests. Refer to Exercise 4.26 (p....Ch. 4.3 - Downloading apps to your cell phone. Refer to the...Ch. 4.3 - Controlling the water hyacinth. Refer to the...Ch. 4.3 - Gender in two-child families. Refer to the Human...Ch. 4.3 - Environmental vulnerability of amphibians. Refer...Ch. 4.3 - Reliability of a manufacturing network. Refer to...Ch. 4.3 -
Beach erosional hot spots. Refer to the U.S....Ch. 4.3 - 4.36 Expected Lotto winnings. Most states offer...Ch. 4.3 -
Expected winnings in roulette. In the popular...Ch. 4.3 - 4.39 Parlay card betting. Odds makers try to...Ch. 4.4 - Give the five characteristics of a binomial random...Ch. 4.4 - Give the formula for p(x) for a binomial random...Ch. 4.4 - Consider the following binomial probability...Ch. 4.4 - Refer to Exercise 4.59.
Graph the probability...Ch. 4.4 - 4.40 Compute the following:
Ch. 4.4 - 4.42 Suppose x is a binomial random variable with...Ch. 4.4 - 4.43 If x is a binomial random variable, compute p...Ch. 4.4 - If x is a binomial random variable, use Table I in...Ch. 4.4 - If x is a binomial random variable, use Table I in...Ch. 4.4 - 4.45 If x is a binomial random variable, calculate...Ch. 4.4 - 4.46 The binomial probability distribution is a...Ch. 4.4 - Applet Exercise 4.3
Use the applets Simulating the...Ch. 4.4 - Applet Exercise 4.4
Open the applet Sample from a...Ch. 4.4 - Prob. 4.5AECh. 4.4 - Working on summer vacation. An Adweek/Harris (July...Ch. 4.4 - Superstitions survey. Are Americans superstitious?...Ch. 4.4 - Where will you get your next pet? According to an...Ch. 4.4 - Chemical signals of mice. Refer to the Cell (May...Ch. 4.4 - Analysis of bottled water. Is the bottled water...Ch. 4.4 - Caesarian births. The American College of...Ch. 4.4 - 4.53 Fingerprint expertise. Refer to the...Ch. 4.4 - Hotel guest satisfaction. J. D. Power and...Ch. 4.4 - 4.52 Immediate feedback to incorrect exam answers....Ch. 4.4 - 4.54 Making your vote count. Refer to the Chance...Ch. 4.4 - Prob. 78ACICh. 4.4 - Victims of domestic abuse. According to...Ch. 4.4 - Prob. 80ACICh. 4.4 - Testing a psychic’s ESP. Refer to Exercise 3.101...Ch. 4.4 - Assigning a passing grade. A literature professor...Ch. 4.4 - Prob. 83ACACh. 4.4 - Does having boys run in the family? Chance (Fall...Ch. 4.5 - Give the four characteristics of a Poisson random...Ch. 4.5 - Consider a Poisson random variable with...Ch. 4.5 - Consider the Poisson probability distribution...Ch. 4.5 - Refer to Exercise 4.86.
Graph the probability...Ch. 4.5 - Refer to Exercise 4.87.
Graph the probability...Ch. 4.5 - 4.65 Given that x is a random variable for which a...Ch. 4.5 - Assume that x is a random variable having a...Ch. 4.5 - Suppose x is a random variable for which a Poisson...Ch. 4.5 - Suppose x is a random variable for which a Poisson...Ch. 4.5 - As mentioned in this section, when n is large, p...Ch. 4.5 - Eye fixation experiment. Cognitive scientists at...Ch. 4.5 - Noise in laser imaging. Penumbrol imaging is a...Ch. 4.5 - Spare line replacement units. The U.S. Department...Ch. 4.5 - 4.176 NASA and rare planet transits. A “planet...Ch. 4.5 - 4.71 Airline fatalities. Over the past 5 years,...Ch. 4.5 - 4.76 Traffic fatalities and sporting events. The...Ch. 4.5 - LAN videoconferencing. A network administrator is...Ch. 4.5 - 4.80 Making high-stakes insurance decisions. The...Ch. 4.5 - Davy Crockett’s use of words. Davy Crockett, a...Ch. 4.5 - 4.79 Flaws in plastic-coated wire. The British...Ch. 4.5 - 4.82 Waiting for a car wash. An automatic car wash...Ch. 4.5 - 4.83 Elevator passenger arrivals. A study of the...Ch. 4.6 - Explain the difference between sampling with...Ch. 4.6 - Give the characteristics of a hypergeometric...Ch. 4.6 - How do binomial and hypergeometric random...Ch. 4.6 - 4.64 Given that x is a hypergeometric random...Ch. 4.6 - 4.63 Given that x is a hypergeometric random...Ch. 4.6 - Prob. 112LMCh. 4.6 - Prob. 113LMCh. 4.6 - 4.68 Given that x is a hypergeometric random...Ch. 4.6 - 4.67 Suppose you plan to sample 10 items from a...Ch. 4.6 - 4.69 Do social robots walk or roll? Refer to the...Ch. 4.6 - Mail rooms contaminated with anthrax. In Chance...Ch. 4.6 - Prob. 118ACBCh. 4.6 - 4.183 On-site treatment of hazardous waste. The...Ch. 4.6 - 4.78 Guilt in decision making. The Journal of...Ch. 4.6 - 4.73 Contaminated gun cartridges. Refer to the...Ch. 4.6 - Lot inspection sampling. Imagine that you are...Ch. 4.6 - Prob. 123ACICh. 4.6 - Prob. 124ACICh. 4.6 - Establishing boundaries in academic engineering....Ch. 4.6 - Prob. 126ACACh. 4.6 - Awarding of home improvement grants. The...Ch. 4 - Prob. 128UPCh. 4 - 4.161 Identify the type of random...Ch. 4 - 4.156 For each of the following examples, decide...Ch. 4 - Prob. 131LMCh. 4 - Prob. 132LMCh. 4 - Prob. 133LMCh. 4 - Prob. 134LMCh. 4 - Prob. 135LMCh. 4 - Prob. 136ACBCh. 4 - Prob. 137ACBCh. 4 - Prob. 138ACBCh. 4 - Prob. 139ACBCh. 4 - Prob. 140ACBCh. 4 - Prob. 141ACBCh. 4 - Prob. 142ACBCh. 4 - Prob. 143ACBCh. 4 - Prob. 144ACBCh. 4 - Prob. 145ACBCh. 4 - Prob. 146ACICh. 4 - Extinct New Zealand birds. Refer to the...Ch. 4 - Student gambling on sports. A study of gambling...Ch. 4 - Parents’ behavior at a gym meet. Pediatric...Ch. 4 - 4.196 Testing for spoiled wine. Suppose that you...Ch. 4 - Prob. 151ACICh. 4 - Prob. 152ACICh. 4 - Chickens with fecal contamination. The United...Ch. 4 - Crime Watch neighborhood. In many cities,...Ch. 4 - 4.203 The showcase showdown. On the popular...Ch. 4 - 4.60 Network forensic analysis. A network forensic...Ch. 4 - 4.201 How many questionnaires to mail? The...Ch. 4 - 4.204 Reliability of a “one-shot” device. A...Ch. 4 - Emergency room bed availability. The mean number...Ch. 4 - Prob. 160CTC
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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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- Suppose a random sample of 459 married couples found that 307 had two or more personality preferences in common. In another random sample of 471 married couples, it was found that only 31 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. Find a95% confidence interval for . Round your answer to three decimal places.arrow_forwardA history teacher interviewed a random sample of 80 students about their preferences in learning activities outside of school and whether they are considering watching a historical movie at the cinema. 69 answered that they would like to go to the cinema. Let p represent the proportion of students who want to watch a historical movie. Determine the maximal margin of error. Use α = 0.05. Round your answer to three decimal places. arrow_forwardA random sample of medical files is used to estimate the proportion p of all people who have blood type B. If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 99% sure that the point estimate will be within a distance of 0.07 from p? Round your answer to the next higher whole number.arrow_forward
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