Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter 10.5, Problem 139E
Slate one possible advantage of using paired samples instead of independent samples.
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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 10 Solutions
Introductory Statistics (10th Edition)
Ch. 10.1 - Understanding the Concepts and Skills 10.1 Give an...Ch. 10.1 - Define the phrase independent samples.Ch. 10.1 - consider the quantities 1, 1, x1, s1 2, 2, x2and,...Ch. 10.1 - Discuss the basic strategy for performing a...Ch. 10.1 - In each of Exercises 10.510.10, we have stated the...Ch. 10.1 - In each of Exercises 10.510.10, we have stated the...Ch. 10.1 - In each of Exercises 10.510.10, we have stated the...Ch. 10.1 - Prob. 8ECh. 10.1 - In each of Exercises 10.5-10.10, we have stated...Ch. 10.1 - In each of Exercises 10.510.10, we have stated the...
Ch. 10.1 - Prob. 11ECh. 10.1 - Identify the assumption for using the two-means...Ch. 10.1 - In each of Exercises 10.1310.18, we have presented...Ch. 10.1 - In each of Exercises 10.1310.18, we have presented...Ch. 10.1 - In each of Exercises 10.1310.18, we have presented...Ch. 10.1 - Prob. 16ECh. 10.1 - In each of Exercises 10.1310.18, we have presented...Ch. 10.1 - Prob. 18ECh. 10.1 - A variable of two populations has a mean of 40 and...Ch. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - In Exercises 10.2510.30, hypothesis tests are...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - In Exercises 10.2510.30, hypothesis tests are...Ch. 10.1 - Prob. 29ECh. 10.1 - In Exercises 10.2510.30, hypothesis tests are...Ch. 10.2 - Regarding the four conditions required for using...Ch. 10.2 - Explain why sp is called the pooled sample...Ch. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - In each of Exercises 10.3510.38, we have provided...Ch. 10.2 - Prob. 39ECh. 10.2 - In each of Exercises 10.3910.44, we have provided...Ch. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Applying the Concepts and Skills Preliminary data...Ch. 10.2 - Prob. 46ECh. 10.2 - Fortified Juice and PTH. V. Tangpricha et al. did...Ch. 10.2 - Prob. 48ECh. 10.2 - Nigerian Spleen Length. O. Ehimwenma and M. Tagbo,...Ch. 10.2 - Recess and Wasted Food. E. Bergman et al....Ch. 10.2 - In Exercises 10.5110.56, apply Procedure 10.2 on...Ch. 10.2 - In Exercises 10.5110.56, apply Procedure 10.2 on...Ch. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - In Exercises 10.5110.56, apply Procedure 10.2 on...Ch. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - Children of Diabetic Mothers. The paper...Ch. 10.2 - A Better Golf Tee? An independent golf equipment...Ch. 10.2 - Extending the Concepts and Skills 10.60 In this...Ch. 10.2 - Prob. 61ECh. 10.2 - Prob. 63ECh. 10.2 - Prob. 64ECh. 10.2 - Prob. 65ECh. 10.3 - In each of Exercises 10.6710.70, suppose that you...Ch. 10.3 - In each of Exercises 10.6710.70, suppose that you...Ch. 10.3 - Prob. 69ECh. 10.3 - In each of Exercises 10.6710.70, suppose that you...Ch. 10.3 - Each pair of graphs in Fig. 10.8 shows the...Ch. 10.3 - Prob. 72ECh. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - Prob. 77ECh. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - Political Prisoners. According to the American...Ch. 10.3 - Phyllodes Tumors. Phyllodes tumors of the breast...Ch. 10.3 - Acute Postoperative Days. Refer to Example 10.6...Ch. 10.3 - Stressed-Out Bus Drivers. An intervention program...Ch. 10.3 - Schizophrenia and Dopamine. Previous research has...Ch. 10.3 - Wing Length. D. Cristol et al. published results...Ch. 10.3 - In Exercises 10.8510.90, apply Procedure 10.4 on...Ch. 10.3 - Prob. 86ECh. 10.3 - Prob. 87ECh. 10.3 - Prob. 88ECh. 10.3 - Prob. 89ECh. 10.3 - In Exercise 10.8510.90, apply Procedure 10.4 on...Ch. 10.3 - Prob. 91ECh. 10.3 - Prob. 92ECh. 10.3 - Prob. 93ECh. 10.3 - Prob. 94ECh. 10.3 - Neurosurgery Operative Times. In Example 10.6 on...Ch. 10.3 - Working with Large Data Sets 10.96 Treating...Ch. 10.3 - A Better Golf Tee? An independent golf equipment...Ch. 10.3 - Prob. 98ECh. 10.3 - Prob. 99ECh. 10.3 - Tukey's Quick Tost. In this exercise, we examine...Ch. 10.3 - Prob. 101ECh. 10.3 - Left-Tailed Hypothesis Tests and CIs. If the...Ch. 10.3 - Prob. 103ECh. 10.4 - Prob. 104ECh. 10.4 - Prob. 105ECh. 10.4 - Prob. 106ECh. 10.4 - Prob. 107ECh. 10.4 - Prob. 108ECh. 10.4 - Prob. 109ECh. 10.4 - Prob. 110ECh. 10.4 - Prob. 111ECh. 10.4 - Prob. 112ECh. 10.4 - Prob. 113ECh. 10.4 - Prob. 114ECh. 10.4 - Prob. 115ECh. 10.4 - Prob. 116ECh. 10.4 - Prob. 117ECh. 10.4 - Prob. 118ECh. 10.4 - Prob. 119ECh. 10.4 - Prob. 120ECh. 10.4 - Prob. 121ECh. 10.4 - Prob. 122ECh. 10.4 - Prob. 123ECh. 10.4 - Mandate Perceptions. L. Grossback et al. examined...Ch. 10.4 - Prob. 125ECh. 10.4 - Prob. 126ECh. 10.4 - Prob. 127ECh. 10.4 - SAT Essay Scores. The SAT is a standardized test...Ch. 10.4 - Prob. 129ECh. 10.4 - Prob. 130ECh. 10.4 - Prob. 131ECh. 10.4 - Working with Large Data Sets 10.132 Gender and...Ch. 10.4 - Prob. 133ECh. 10.4 - Teacher Salaries. The National Education...Ch. 10.4 - Prob. 135ECh. 10.4 - Prob. 136ECh. 10.4 - Prob. 138ECh. 10.5 - Slate one possible advantage of using paired...Ch. 10.5 - Prob. 140ECh. 10.5 - Prob. 141ECh. 10.5 - Prob. 142ECh. 10.5 - In Exercises 10.143-10.148, hypothesis tests...Ch. 10.5 - In Exercises 10.143-10.148, hypothesis tests...Ch. 10.5 - In Exercises 10.143-10.148, hypothesis tests...Ch. 10.5 - Prob. 146ECh. 10.5 - Prob. 147ECh. 10.5 - Prob. 148ECh. 10.5 - Prob. 149ECh. 10.5 - Prob. 150ECh. 10.5 - Prob. 151ECh. 10.5 - Prob. 152ECh. 10.5 - Prob. 153ECh. 10.5 - Prob. 154ECh. 10.5 - Applying the Concepts and Skills Preliminary data...Ch. 10.5 - Prob. 156ECh. 10.5 - Prob. 157ECh. 10.5 - Measuring Treadwear. R. Stichler et al. compared...Ch. 10.5 - Glaucoma and Corneal Thickness. Glaucoma is a...Ch. 10.5 - Cooling Down. Cooling down with a cold drink...Ch. 10.5 - Prob. 161ECh. 10.5 - Prob. 162ECh. 10.5 - Prob. 163ECh. 10.5 - Prob. 164ECh. 10.5 - Prob. 165ECh. 10.5 - In Exercise 10.161-10.166, apply Producer 10.7 on...Ch. 10.5 - Prob. 167ECh. 10.5 - Prob. 168ECh. 10.5 - Prob. 169ECh. 10.5 - Working with Large Data Sets 10. 170 Faculty...Ch. 10.5 - Prob. 171ECh. 10.5 - Storm Hydrology and Clear Cutting. In the document...Ch. 10.5 - Prob. 173ECh. 10.5 - Prob. 174ECh. 10.5 - Gasoline Additive. This exercise shows what can...Ch. 10.6 - Understanding the Concepts and Skills 10.177...Ch. 10.6 - A hypothesis test based on a simple random paired...Ch. 10.6 - Suppose that you want to perform a hypothesis test...Ch. 10.6 - Suppose that you want to perform a hypothesis test...Ch. 10.6 - Prob. 181ECh. 10.6 - Prob. 182ECh. 10.6 - Prob. 183ECh. 10.6 - Prob. 184ECh. 10.6 - Prob. 185ECh. 10.6 - Prob. 186ECh. 10.6 - Prob. 187ECh. 10.6 - Prob. 188ECh. 10.6 - Prob. 189ECh. 10.6 - Prob. 190ECh. 10.6 - Glaucoma and Corneal Thickness. Glaucoma is a...Ch. 10.6 - Cooling Down. Cooling down with a cold drink...Ch. 10.6 - Prob. 193ECh. 10.6 - Tobacco Mosaic Virus. To assess the effects of two...Ch. 10.6 - Prob. 195ECh. 10.6 - Prob. 196ECh. 10.6 - Prob. 197ECh. 10.6 - Prob. 198ECh. 10.6 - Prob. 199ECh. 10.6 - Prob. 200ECh. 10.6 - Prob. 201ECh. 10.6 - Prob. 202ECh. 10.6 - Prob. 203ECh. 10.6 - In Exercises 10.20310.208, do the following. a....Ch. 10.6 - Prob. 205ECh. 10.6 - Prob. 206ECh. 10.6 - In Exercises 10.20310.208, do the following. a....Ch. 10.6 - Prob. 208ECh. 10 - Understanding the Concepts and Skills 1. Discuss...Ch. 10 - Prob. 2RPCh. 10 - Regarding the pooled and nonpooled t-procedures,...Ch. 10 - Prob. 4RPCh. 10 - Suppose that independent simple random samples are...Ch. 10 - Prob. 6RPCh. 10 - Prob. 7RPCh. 10 - Prob. 8RPCh. 10 - Grip and Leg Strength. Refer to Problem 8....Ch. 10 - Cottonmouth Litter Size. In the article The...Ch. 10 - Prob. 11RPCh. 10 - Home Prices. The National Association of Realtors...Ch. 10 - Prob. 13RPCh. 10 - Prob. 14RPCh. 10 - Prob. 15RPCh. 10 - Working with Large Data Sets 16. Drink and Be...Ch. 10 - Prob. 17RPCh. 10 - Insulin and BMD. I. Erturul et al. conducted a...Ch. 10 - Prob. 19RPCh. 10 - Prob. 20RPCh. 10 - UWEC UNDERGRADUATES Recall from Chapter 1 (see...Ch. 10 - DEXAMETHASONE THERAPY AND IQ On page 439, we...
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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
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