92 124 95 121 78 88 108 126 114 105 129 109 103 85 107 104 74 73 60 68 69 98 Lavender Odor 106 89 103 107 104 116 75 94 63 96 94 79 106 73 87 92 107 137 109 88 Lemon Odor 112 83 108 91 88 56 90 113 97 No Odor 72 121 92 84 72 92 109 115 91 84 76 96 93 118 87 101 75 86 93 94 109 88 105 76 98 108 105 102 108 97 101 106 97 101 83 89 106

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 54E
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Question

Businesses know that customers often respond to background music. Do they also respond to odors? Nicolas Guéguen and his colleagues studied this question in a small pizza restaurant in France on Saturday evenings in May. On one evening, a relaxing lavender odor was spread through the restaurant; on another evening, a stimulating lemon odor; a third evening served as a control, with no odor. The three evenings were comparable in many ways (weather, customer count, and so on), so we are willing to regard the data as independent SRSs from spring Saturday evenings at this restaurant.

The given table contains data on how long (in minutes) customers stayed in the restaurant on each of the three evenings.

We want to be 95%

confident that we do not wrongly reject any of the three null hypotheses. Tukey pairwise comparisons can give conclusions that meet this condition. Use your preferred software to find the three Tukey confidence intervals.

First, find the 95%

Tukey confidence interval for the difference ?L−?Le.

Give your answers to five decimal places.

lower bound:
 
 
upper bound:
 
Find the 95% Tukey confidence interval for the difference between ?L−?N.

Give your answers to five decimal places.

lower bound:
Find the 95% Tukey confidence interval for the difference between ?N−?Le.

Give your answers to five decimal places.

lower bound:
 
 
upper bound:
 
 
 
upper bound:
 
92
124
95
78
88
108
103
85
107
126
105
121
104
73
60
68
69
98
Lavender Odor
89
137 93 76
107 109 94 105
116
88 109
97
Lemon Odor
112
88
83 108
56 90
No Odor
72 121
115
118 87 101 75
114 106
129
103
109
104
74 75
94 63
96
94
79 106
73 87 109
92 107 93
98 108
102 108
101
106
105
97
101
89
91 88 83 106
113
97
92
84 72
92
91 84 76 96
86
Transcribed Image Text:92 124 95 78 88 108 103 85 107 126 105 121 104 73 60 68 69 98 Lavender Odor 89 137 93 76 107 109 94 105 116 88 109 97 Lemon Odor 112 88 83 108 56 90 No Odor 72 121 115 118 87 101 75 114 106 129 103 109 104 74 75 94 63 96 94 79 106 73 87 109 92 107 93 98 108 102 108 101 106 105 97 101 89 91 88 83 106 113 97 92 84 72 92 91 84 76 96 86
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Swokowski
Publisher:
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