Elementary Statistics Using Excel Plus NEW MyLab Statistics with Pearson eText -- Title-Specific Access Card Package (6th Edition)
6th Edition
ISBN: 9780134763781
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 5.2, Problem 20BSC
To determine
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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…
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.
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 5 Solutions
Elementary Statistics Using Excel Plus NEW MyLab Statistics with Pearson eText -- Title-Specific Access Card Package (6th Edition)
Ch. 5.1 - 1. Random Variable The accompanying table lists...Ch. 5.1 - 2. Discrete or Continuous? Is the random variable...Ch. 5.1 - 3. Probability Distribution For the accompanying...Ch. 5.1 - Prob. 4BSCCh. 5.1 - Identifying Discrete and Continuous Random...Ch. 5.1 - Identifying Discrete and Continuous Random...Ch. 5.1 - Prob. 7BSCCh. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Prob. 9BSCCh. 5.1 - Prob. 10BSC
Ch. 5.1 - Prob. 11BSCCh. 5.1 - Prob. 12BSCCh. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Prob. 14BSCCh. 5.1 - Prob. 15BSCCh. 5.1 - Prob. 16BSCCh. 5.1 - Prob. 17BSCCh. 5.1 - Genetics. In Exercises 15–20, refer to the...Ch. 5.1 - Genetics. In Exercises 15–20, refer to the...Ch. 5.1 - Prob. 20BSCCh. 5.1 - Sleepwalking. In Exercises 21–25, refer to the...Ch. 5.1 - Prob. 22BSCCh. 5.1 - Prob. 23BSCCh. 5.1 - Sleepwalking. In Exercises 21–25, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 21–25, refer to the...Ch. 5.1 - Prob. 26BBCh. 5.1 - Prob. 27BBCh. 5.1 - 28. Expected Value in Roulette When playing...Ch. 5.1 - Prob. 29BBCh. 5.1 - Prob. 30BBCh. 5.2 - 1. Drone Deliveries Based on a Pitney Bowes...Ch. 5.2 - Prob. 2BSCCh. 5.2 - 3. Independent Events Based on a Pitney Bowes...Ch. 5.2 - Prob. 4BSCCh. 5.2 - Prob. 5BSCCh. 5.2 - Prob. 6BSCCh. 5.2 - Prob. 7BSCCh. 5.2 - Prob. 8BSCCh. 5.2 - Prob. 9BSCCh. 5.2 - Prob. 10BSCCh. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Prob. 12BSCCh. 5.2 - Prob. 13BSCCh. 5.2 - Prob. 14BSCCh. 5.2 - Prob. 15BSCCh. 5.2 - Prob. 16BSCCh. 5.2 - SAT Test. In Exercises 15–20, assume that random...Ch. 5.2 - Prob. 18BSCCh. 5.2 - Prob. 19BSCCh. 5.2 - SAT Test. In Exercises 15–20, assume that random...Ch. 5.2 - Prob. 21BSCCh. 5.2 - Prob. 22BSCCh. 5.2 - Prob. 23BSCCh. 5.2 - Prob. 24BSCCh. 5.2 - 25. Whitus v. Georgia In the classic legal case of...Ch. 5.2 - Prob. 26BSCCh. 5.2 - Prob. 27BSCCh. 5.2 - Prob. 28BSCCh. 5.2 - Prob. 29BSCCh. 5.2 - Prob. 30BSCCh. 5.2 - Prob. 31BSCCh. 5.2 - Prob. 32BSCCh. 5.2 - Prob. 33BSCCh. 5.2 - Prob. 34BSCCh. 5.2 - Acceptance Sampling. Exercises 35 and 36 involve...Ch. 5.2 - Prob. 36BSCCh. 5.2 - Prob. 37BSCCh. 5.2 - Prob. 38BSCCh. 5.2 - Prob. 39BSCCh. 5.2 - Prob. 40BSCCh. 5.2 - Prob. 41BBCh. 5.2 - Prob. 42BBCh. 5.2 - Prob. 43BBCh. 5.3 - 1. Notation In analyzing hits by V-1 buzz bombs in...Ch. 5.3 - 2. Tornadoes During a recent 64-year period, New...Ch. 5.3 - 3. Poisson Probability Distribution The random...Ch. 5.3 - Prob. 4BSCCh. 5.3 - Hurricanes. In Exercises 5–8, assume that the...Ch. 5.3 - 6. Hurricanes
a. Find the probability that in a...Ch. 5.3 - 7. Hurricanes
a. Find the probability that in a...Ch. 5.3 - 8. Hurricanes
a. Find the probability that in a...Ch. 5.3 - In Exercises 9–16, use the Poisson distribution to...Ch. 5.3 - 10. Murders In a recent year, there were 333...Ch. 5.3 - 11. Radioactive Decay Radioactive atoms are...Ch. 5.3 - 12. Deaths from Horse Kicks A classical example of...Ch. 5.3 - 13. World War II Bombs In Exercise 1“Notation” we...Ch. 5.3 - Prob. 14BSCCh. 5.3 - Prob. 15BSCCh. 5.3 - Prob. 16BSCCh. 5.3 - Prob. 17BBCh. 5 - Prob. 1CQQCh. 5 - Prob. 2CQQCh. 5 - 3. Are the values Found in Exercise 2 statistics...Ch. 5 - Prob. 4CQQCh. 5 - Prob. 5CQQCh. 5 - Prob. 6CQQCh. 5 - Prob. 7CQQCh. 5 - Prob. 8CQQCh. 5 - Prob. 9CQQCh. 5 - Prob. 10CQQCh. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - 1. Planets The planets of the solar system have...Ch. 5 - Prob. 2CRECh. 5 - Prob. 3CRECh. 5 - Prob. 4CRECh. 5 - Prob. 5CRECh. 5 - 6. Washing Hands Based on results from a Bradley...Ch. 5 - Overbooking Flights American Airlines Flight 171...Ch. 5 - Prob. 1FDD
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- Question 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_forward
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