The claim and state H 0 and H a .

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Answer 1

Question

Chapter 8.3, Problem 12E

a.

To determine

To identify: The claim and state H0 and Ha.

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd.

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.05.

f.

To determine

To interpret: The decision in the context of the original claim.

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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.

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…

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…

Answer 2

Question

Chapter 8.3, Problem 12E

a.

To determine

To identify: The claim and state H0 and Ha.

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd.

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.05.

f.

To determine

To interpret: The decision in the context of the original claim.

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Answer 3

Question

Chapter 8.3, Problem 12E

a.

To determine

To identify: The claim and state H0 and Ha.

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd.

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.05.

f.

To determine

To interpret: The decision in the context of the original claim.

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Answer 4

Question

Chapter 8.3, Problem 12E

a.

To determine

To identify: The claim and state H0 and Ha.

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd.

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.05.

f.

To determine

To interpret: The decision in the context of the original claim.

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Answer 5

Chapter 8.3, Problem 12E

a.

To determine

To identify: The claim and state H0 and Ha.

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd.

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.05.

f.

To determine

To interpret: The decision in the context of the original claim.

Answer 6

Chapter 8.3, Problem 12E

a.

To determine

To identify: The claim and state H0 and Ha.

Answer 7

Chapter 8.3, Problem 12E

a.

To determine

To identify: The claim and state H0 and Ha.

Answer 8

b.

To determine

To find: The critical value and rejection regions.

Answer 9

b.

To determine

To find: The critical value and rejection regions.

Answer 10

c.

To determine

To find: The value of d¯ and sd.

Answer 11

c.

To determine

To find: The value of d¯ and sd.

Answer 12

d.

To determine

To find: The standardized test statistic t.

Answer 13

d.

To determine

To find: The standardized test statistic t.

Answer 14

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.05.

Answer 15

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.05.

Answer 16

f.

To determine

To interpret: The decision in the context of the original claim.

Answer 17

f.

To determine

To interpret: The decision in the context of the original claim.

Answer 18

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Answer 19

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Answer 20

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Answer 21

Ch. 8.1 - Classify each pair of samples as independent or...Ch. 8.1 - A survey indicates that the mean annual wages for...Ch. 8.1 - A travel agency claims that the average daily cost...Ch. 8.1 - What is the difference between two samples that...Ch. 8.1 - Explain how to perform a two-sample z-test for the...Ch. 8.1 - Describe another way you can perform a hypothesis...Ch. 8.1 - What conditions are necessary in order to use the...Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Independent and Dependent Samples In Exercises 58,...

The claim and state H 0 and H a .

Solution Summary: The claim is that a baseball clinic will help players raise their batting averages.

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To identify: The claim and state H0 and Ha.

To find: The critical value and rejection regions.

To find: The value of d¯ and sd.

To find: The standardized test statistic t.

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.05.

To interpret: The decision in the context of the original claim.

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Chapter 8 Solutions