Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 8, Problem 103H
The average height of young adult males has a
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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 8 Solutions
Introductory Statistics
Ch. 8 - Suppose we have data from a sample. The sample...Ch. 8 - Suppose average pizza delivery times are normally...Ch. 8 - Table 8.2 shows a different random sampling of 20...Ch. 8 - Refer back to the pizza-delivery Try It exercise....Ch. 8 - Refer back to the pizza-deliver Try It exercise....Ch. 8 - Suppose we know that a confidence interval is...Ch. 8 - The population standard deviation for the height...Ch. 8 - You do a study of hypnotherapy to determine how...Ch. 8 - A random sample of statistics students were asked...Ch. 8 - Suppose 250 randomly selected people are surveyed...
Ch. 8 - A student polls his school to see If students In...Ch. 8 - Out of a random sample of 65 freshmen at State...Ch. 8 - The Berkman Center Study referenced in Example...Ch. 8 - Suppose an Internet marketing company wants to...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use (he following information to answer the next...Ch. 8 - Use (he following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - 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The Federal Election Commission collects...Ch. 8 - The American Community Survey (ACS), part of the...Ch. 8 - The average height of young adult males has a...Ch. 8 - In six packages of The Flintstones Real Fruit...Ch. 8 - A random survey of enrollment at 35 community...Ch. 8 - Suppose that a committee is studying whether or...Ch. 8 - A pharmaceutical company makes tranquilizers. It...Ch. 8 - Suppose that 14 children, who were learning to...Ch. 8 - The Federal Election Commission (FEC) collects...Ch. 8 - Forbes magazine published data on the best small...Ch. 8 - Unoccupied seats on flights cause airlines to lose...Ch. 8 - In a recent sample of 84 used car sales costs, the...Ch. 8 - Six different national brands of chocolate chip...Ch. 8 - A survey of the mean number of cents off that...Ch. 8 - Use the following information o ansier the next...Ch. 8 - Use the following information o ansier the next...Ch. 8 - Insurance companies are interested In knowing the...Ch. 8 - Suppose that the insurance companies did do a...Ch. 8 - According to a recent survey of 1,200 people. 61%...Ch. 8 - An article regarding interracial dating and...Ch. 8 - Refer to the information In Exercise 8.120. a....Ch. 8 - Stanford University conducted a study of whether...Ch. 8 - A telephone poll of 1,000 adult Americans was...Ch. 8 - Refer to Exercise 8.123. Another question in the...Ch. 8 - Use the following informariton to answer the next...Ch. 8 - Use the following informariton to answer the next...Ch. 8 - Use the following informariton to answer the next...Ch. 8 - Use the following information to answer the next v...Ch. 8 - Use the following information to answer the next v...Ch. 8 - On May 23, 2013, Gallup reported that of the 1,005...Ch. 8 - A national survey of 1000 adults was conducted on...Ch. 8 - Public Policy Polling recently conducted a survey...Ch. 8 - You plan to conduct a survey on your college...Ch. 8 - In a recent Zogby International Poll, nine of .18...
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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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