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(solution) Practical Application Scenario 1 You are the manager of the


Practical Application Scenario 1

You are the manager of the Gander Mountain store in Frogtown, Illinois. Recently, a customer mentioned they believed your prices for ammunition were lower than the prices of Gander Mountain's primary competitor in hunting equipment, Cabela's. You would like to include that statement in a forthcoming print advertisement, so you need statistical evidence to support this assertion.

Identify the null and alternative hypotheses needed to test the contention. Then identify the most appropriate sample selection technique to gather data for testing the hypotheses. What statistical test should you use to accept or reject this hypothesis using the data you will collect?

Practical Application Scenario 2

Your love of golf has brought you back to the range as the new product manager for UniDun's Straight Flight (SF) line of golf balls. The company's research and development group has been experimenting with dimple patterns that promote straight flight and feel they have achieved some degree of success; however, you are worried about the effect that the new pattern might have on driving distance.

The Golf Ball Distances document contains test results that compare the driving distances for the two different kinds of balls: 40 balls of the new SF type and 40 of the current UniDun type. Your job is to determine if the current UniDun balls can be driven further than the new SF balls. To resolve this question, you need appropriate answers to the following four questions. Remember to use your Business Statistics in Practice textbook, the supplementary instruction session archives, and the optional course resources to help you answer each of the following questions:

  1. Identify the appropriate null and alternative hypotheses for this test. Express each in writing and in the form of an equation.
  2. Identify the appropriate statistical test to accept or reject the null hypothesis.
  3. Calculate the statistical parameters, the mean, variance, and standard deviation. Then calculate the statistical test and the p-value.
  4. In a three- to five-paragraph synopsis, explain your results to the vice president of marketing, including the terms of the scenario variables.

Hint: You will need to use Excel's Analysis ToolPak, or the Mac equivalent, StatPlus:mac, to calculate the statistical parameters, the mean, variance, and standard deviation, and to calculate the statistical test that you have chosen and its p-value. SAS Enterprise Guide users do not need to first calculate the statistical parameters.

Practical Application Scenario 3

As the food court manager at the Mall of Elbonia, you must determine how much time customers spend at the mall during different times of the week (for example: midweek day; midweek evening; weekend day; weekend evening). Last week, the mall survey staff randomly surveyed mall visitors as they left the mall. One key question asked how much time the customer had spent in the mall on that day.

The findings from this study are provided in the document titled Mall Time Results, provided in Resources. Columns A through D show the time spent by the customers interviewed, according to the part of the week and time of day when the interviews occurred. Is there any statistically significant difference (at alpha = .05) in the average amount of time people spend in the mall based on the part of the week and time of day? To determine the answer to this question, you need appropriate answers to all of the following four questions. Remember to use your Business Statistics in Practice textbook, the supplementary instruction session archives, and the optional course resources to help you answer each question.

  • Identify the null and alternative hypotheses you should form for this test. Express each in writing and also in equation form.
  • Identify the appropriate statistical test to accept or reject the null hypothesis.
  • Calculate the appropriate statistical test values to accept or reject your null and alternative hypotheses.
  • What should you tell the Mall of Elbonia's food court stores managers in terms of the mall's high-traffic times and customer tendencies?

Assignment Submission

Compile all of your practical application scenario answers into one Word file (submitted as a .docx file). Copy the Excel or SAS output, including graphics, tables, and so on, into that document. Highlight your findings for these practical applications scenarios in yellow. Submit the file in the assignments area for grading and instructor feedback. Prior to submission, review the eleven questions within the three scenarios as well as the scoring guide to ensure you meet all evaluation criteria.


Mall Time Interview Results

 

Midweek, Day

 

66

 

78

 

66

 

32

 

35

 

34

 

88

 

149

 

86

 

145

 

146

 

38

 

95

 

80

 

106

 

42

 

95

 

77

 

98

 

71

 

122

 

125

 

85

 

97

 

33 Midweek, Evening

 

64

 

71

 

174

 

53

 

52

 

96

 

135

 

142

 

149

 

59

 

82

 

118

 

132

 

81

 

111

 

68

 

22

 

50

 

125

 

105

 

92

 

115

 

148

 

66

 

74 Weekend, Day

 

64

 

121

 

29

 

147

 

162

 

108

 

61

 

77

 

88

 

131

 

127

 

141

 

176

 

161

 

3

 

82

 

128

 

51

 

81

 

54

 

161

 

158

 

45

 

134

 

38 Weekend, Evening

 

185

 

207

 

203

 

84

 

125

 

184

 

129

 

94

 

182

 

65

 

110

 

139

 

108

 

117

 

125

 

65

 

47

 

88

 

84

 

165

 

86

 

164

 

199

 

83

 

36

 


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