Assume the car expert requested estimates of the mean number of days to sell for the Domestic
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Question:
Assume the car expert requested estimates of the mean number of days to sell for the Domestic cars with a margin of error of seven days and the mean selling price of foreign cars with a margin of error of eight days.
- Using 98% confidence, how large should the sample sizes be for each one?
- How could the sample size formula be useful in understanding both types of car businesses? What are some advantages of a larger sample size?
- Suppose a Domestic car has a list price of $30,000 and a Foreign car has a list price of $30,000. What is your estimate of the final selling price (based on the percent difference for the sale and list price) and number of days required to sell each of these cars?
Domestic Cars | Foreign Cars | |||||||
Car | List Price in K | Sale Price in K | Days to Sell | List Price in K | Sale Price in K | Days to Sell | ||
1 | 9 | 8.3 | 40 | 36.7 | 34.1 | 39 | ||
2 | 34 | 30.2 | 5 | 52 | 51.5 | 26 | ||
3 | 23.9 | 19.3 | 48 | 11.1 | 9.6 | 27 | ||
4 | 29.7 | 28.8 | 12 | 48.1 | 45.9 | 52 | ||
5 | 26.7 | 24.1 | 28 | 6.8 | 4.5 | 53 | ||
6 | 31.2 | 31.2 | 30 | 7.5 | 6.5 | 39 | ||
7 | 22.7 | 20.2 | 24 | 71.5 | 70.8 | 59 | ||
8 | 8 | 4 | 42 | 21.7 | 21.7 | 51 | ||
9 | 18.3 | 14.9 | 29 | 59.5 | 59.1 | 40 | ||
10 | 43.9 | 42.9 | 16 | 19.1 | 17.7 | 15 | ||
11 | 49.1 | 47.1 | 23 | 67 | 64.3 | 46 | ||
12 | 8.7 | 5.4 | 17 | 79.2 | 76.1 | 62 | ||
13 | 23.2 | 18.3 | 30 | 29.3 | 24.9 | 32 | ||
14 | 17.1 | 13.4 | 15 | 69.1 | 66 | 55 | ||
15 | 15.3 | 14.5 | 40 | 63.9 | 58.9 | 15 | ||
16 | 39.7 | 35.2 | 31 | 54.5 | 51.2 | 46 | ||
17 | 12.4 | 9.2 | 27 | 61.4 | 56.4 | 20 | ||
18 | 42.3 | 40.3 | 58 | 70.8 | 69.8 | 24 | ||
19 | 25 | 24.2 | 19 | 29.2 | 28.4 | 5 | ||
20 | 36.2 | 34.8 | 30 | 26.6 | 23.9 | 44 | ||
21 | 13.9 | 12.1 | 37 | 11.7 | 9 | 58 | ||
22 | 18.7 | 15.6 | 43 | 12.2 | 8.5 | 11 | ||
23 | 39.5 | 36.6 | 44 | 51.6 | 50.6 | 36 | ||
24 | 23 | 22.1 | 55 | 48.8 | 48.4 | 24 | ||
25 | 32 | 31 | 40 | 33.9 | 32.4 | 31 | ||
26 | 34.9 | 33.1 | 22 | 82.3 | 77.8 | 51 | ||
27 | 43.6 | 39.2 | 56 | 75.9 | 71.8 | 21 | ||
28 | 6.9 | 4.7 | 28 | 44.1 | 39.7 | 17 | ||
29 | 43.6 | 41.8 | 47 | 30.5 | 27.7 | 35 | ||
30 | 12 | 9.6 | 44 | 56.5 | 52.3 | 19 | ||
31 | 8.7 | 6.1 | 13 | 88.3 | 88 | 18 | ||
32 | 7.2 | 5.3 | 15 | 51.8 | 50.8 | 46 | ||
33 | 39.6 | 36 | 47 | 25.7 | 21.6 | 8 | ||
34 | 16.5 | 16.2 | 21 | 34.2 | 33.1 | 42 | ||
35 | 43.9 | 40.8 | 45 | 75.8 | 75.3 | 24 | ||
36 | 47.6 | 46.2 | 5 | 75.5 | 73.5 | 25 | ||
37 | 21.3 | 21 | 44 | 40 | 39.6 | 55 | ||
38 | 29.5 | 26.9 | 6 | 67 | 66.2 | 50 | ||
39 | 18.6 | 16.2 | 47 | 16 | 15 | 22 | ||
40 | 46.6 | 46 | 60 | 50.2 | 46.1 | 40 | ||
41 | 8 | 6.1 | 14 | 85.1 | 83.8 | 52 | ||
42 | 11.2 | 8.6 | 13 | 73 | 71.2 | 22 | ||
43 | 33.8 | 32.6 | 28 | 15 | 11.6 | 37 | ||
44 | 10.1 | 7.2 | 30 | 12.9 | 10.6 | 32 | ||
45 | 13.9 | 13.6 | 15 | 26.3 | 22 | 27 | ||
46 | 48.4 | 44.5 | 28 | 29.8 | 28.5 | 16 | ||
47 | 13.5 | 13.1 | 46 | 65.7 | 62.4 | 4 | ||
48 | 6.4 | 4.2 | 45 | 21.8 | 19.4 | 43 | ||
49 | 38.3 | 38.2 | 37 | 44.3 | 40.5 | 9 | ||
50 | 38.5 | 37.7 | 40 | 78.6 | 77.2 | 61 | ||
51 | 36.9 | 36.4 | 43 | 50 | 49.2 | 45 | ||
52 | 18.6 | 14.1 | 25 | 57.1 | 53.8 | 23 | ||
53 | 4.5 | 3.1 | 47 | 46.6 | 45.6 | 58 | ||
54 | 25.4 | 22.5 | 38 | 82.2 | 78.6 | 66 | ||
55 | 59.9 | 57.3 | 58 | 61.1 | 58.3 | 61 | ||
56 | 44 | 40.5 | 53 | 81 | 78.9 | 35 | ||
57 | 19.8 | 18.3 | 18 | 77.1 | 75.3 | 44 | ||
58 | 12.6 | 10.1 | 20 | 34.4 | 29.4 | 23 | ||
59 | 35 | 31.8 | 11 | 23 | 22.5 | 4 | ||
60 | 52.2 | 49.9 | 49 | 54.9 | 53.9 | 57 | ||
61 | 38.6 | 36.6 | 50 | 82.2 | 81.3 | 66 | ||
62 | 24 | 23.3 | 18 | 79 | 74.6 | 24 | ||
63 | 45 | 44.1 | 31 | 23.5 | 19.3 | 28 | ||
64 | 52.9 | 47.9 | 16 | 76.2 | 72.5 | 62 | ||
65 | 52.3 | 50.6 | 30 | 33 | 31.5 | 51 | ||
66 | 50.9 | 47.5 | 25 | 48.7 | 46.7 | 49 | ||
67 | 18.3 | 16.3 | 5 | 34 | 33.8 | 27 | ||
68 | 34.3 | 29.5 | 55 | 75.8 | 74 | 19 | ||
69 | 50.1 | 48.6 | 17 | 35.2 | 35 | 22 | ||
70 | 57.4 | 56.4 | 49 | 22.9 | 22.4 | 64 | ||
71 | 9.2 | 6.5 | 58 | 82.8 | 79.3 | 29 | ||
72 | 36.9 | 33.3 | 35 | 63.8 | 63.8 | 50 | ||
73 | 41.1 | 38.2 | 36 | 46.4 | 41.5 | 50 | ||
74 | 43.3 | 40.7 | 6 | 58.7 | 57.8 | 37 | ||
75 | 46.8 | 42.7 | 28 | 64 | 63.3 | 57 | ||
76 | 51.7 | 47 | 11 | 87.1 | 86.1 | 50 | ||
77 | 13.3 | 8.7 | 19 | 75 | 70.6 | 38 | ||
78 | 57.3 | 54.3 | 14 | 17 | 14.4 | 31 | ||
79 | 59.6 | 54.6 | 9 | 39.6 | 36.4 | 13 | ||
80 | 18.3 | 14.9 | 33 | 63.8 | 62.9 | 23 | ||
81 | 42.1 | 41 | 59 | 25.5 | 22.2 | 24 | ||
82 | 13.8 | 9.2 | 49 | 79.8 | 76.6 | 27 | ||
83 | 32.9 | 31.3 | 7 | 13.1 | 11.5 | 21 | ||
84 | 54 | 52.8 | 25 | 34.3 | 32.7 | 49 | ||
85 | 34.4 | 31.2 | 9 | 71.2 | 68.5 | 16 | ||
86 | 23.6 | 22.6 | 42 | 29.5 | 25.4 | 47 | ||
87 | 4.7 | 4 | 5 | 23.4 | 21.6 | 7 | ||
88 | 59 | 58.2 | 38 | 12.6 | 9.5 | 39 | ||
89 | 26.5 | 24.5 | 39 | 15.5 | 14 | 16 | ||
90 | 34.5 | 30.8 | 48 | 60 | 59.4 | 4 | ||
91 | 24.5 | 20.5 | 56 | 20.9 | 17.1 | 12 | ||
92 | 3.9 | 1.9 | 34 | 81.8 | 79.8 | 45 | ||
93 | 5 | 4.8 | 31 | 89 | 84.1 | 56 | ||
94 | 58.3 | 58.1 | 30 | 38.1 | 35 | 39 | ||
95 | 33.6 | 32.1 | 18 | 15.5 | 12.7 | 51 | ||
96 | 45.6 | 42.7 | 9 | 60.3 | 58.4 | 21 | ||
97 | 38.8 | 34.9 | 18 | 64.2 | 63.1 | 8 | ||
98 | 35.6 | 34.2 | 47 | 52.2 | 49.5 | 18 | ||
99 | 17 | 12 | 28 | 4.9 | 3.3 | 26 | ||
100 | 18 | 15.5 | 51 | 41.3 | 41.2 | 18 | ||
101 | 58.5 | 55.4 | 50 | 64.6 | 63.5 | 19 | ||
102 | 20.9 | 19.9 | 48 | 49.6 | 45.6 | 47 | ||
103 | 32.5 | 32.1 | 6 | 46.4 | 42.4 | 41 | ||
104 | 19 | 14.4 | 35 | 51.8 | 49 | 54 | ||
105 | 4.4 | 4 | 27 | 78.8 | 77.6 | 60 | ||
106 | 67.6 | 67.4 | 39 | 55.2 | 54.7 | 21 | ||
107 | 59.2 | 54.3 | 57 | 21 | 17.3 | 43 | ||
108 | 25 | 21.7 | 25 | 32.5 | 30.5 | 67 | ||
109 | 55.7 | 52.8 | 62 | 43.5 | 43 | 3 | ||
110 | 25.7 | 23.9 | 62 | 11.9 | 9.5 | 65 | ||
111 | 49.1 | 44.7 | 29 | 15.1 | 10.4 | 14 | ||
112 | 67.7 | 66.3 | 28 | 50.1 | 48.7 | 45 | ||
113 | 45 | 41 | 65 | 81.2 | 79.7 | 36 | ||
114 | 48.6 | 43.6 | 63 | 83.8 | 79.1 | 35 | ||
115 | 25.9 | 25.7 | 55 | 68 | 65.1 | 28 | ||
116 | 37.8 | 37 | 50 | 54.4 | 50.8 | 14 | ||
117 | 25.7 | 20.8 | 31 | 54.5 | 51.4 | 12 | ||
118 | 27.3 | 24.8 | 51 | 4.9 | 1.3 | 57 | ||
119 | 65 | 64.2 | 30 | 30.7 | 29 | 50 | ||
120 | 58.3 | 56.9 | 57 | 45 | 40.4 | 60 | ||
121 | 8.6 | 4.6 | 62 | 20.4 | 17.4 | 11 | ||
122 | 40 | 37 | 33 | 24 | 23.9 | 5 | ||
123 | 3.9 | 3 | 20 | 79.1 | 78.4 | 53 | ||
124 | 21.2 | 19.3 | 54 | 22.8 | 18.2 | 31 | ||
125 | 36 | 35.1 | 23 | 66 | 65.8 | 24 | ||
126 | 36.2 | 33.8 | 51 | 88.1 | 85.6 | 31 | ||
127 | 67.4 | 66.3 | 17 | 8.6 | 3.8 | 60 | ||
128 | 24 | 21 | 19 | 38.3 | 35.1 | 60 | ||
129 | 10 | 8.8 | 49 | 52.1 | 49.1 | 49 | ||
130 | 36.4 | 36.4 | 11 | 23.7 | 20.7 | 6 | ||
131 | 38.4 | 37.5 | 46 | 67.1 | 63.3 | 38 | ||
132 | 32.7 | 28 | 44 | 63.4 | 61.3 | 33 | ||
133 | 11.9 | 11 | 11 | 45.9 | 41 | 10 | ||
134 | 8.7 | 5.5 | 17 | 77.3 | 74.4 | 25 | ||
135 | 13.5 | 10.5 | 33 | 46.5 | 42.6 | 27 | ||
136 | 18.3 | 14.8 | 12 | 63.9 | 60 | 56 | ||
137 | 3.8 | 3 | 37 | 83.2 | 81.3 | 62 | ||
138 | 67.3 | 65.3 | 53 | 5.4 | 1.7 | 55 | ||
139 | 24.7 | 22.2 | 53 | 9 | 6.4 | 61 | ||
140 | 29 | 29 | 16 | 78.2 | 74.2 | 66 | ||
141 | 12.4 | 11.4 | 54 | 27.3 | 25.3 | 3 | ||
142 | 26.4 | 21.9 | 8 | 67 | 62.8 | 14 | ||
143 | 24.2 | 19.2 | 70 | 84.1 | 82.1 | 44 | ||
144 | 59 | 55 | 60 | 77.7 | 73.9 | 15 | ||
145 | 18.7 | 16.7 | 40 | 51.7 | 51.4 | 38 | ||
146 | 29.6 | 28.4 | 37 | 79 | 74.5 | 33 | ||
147 | 46.9 | 46.5 | 69 | 50 | 46.1 | 10 | ||
148 | 59.9 | 57.7 | 10 | 30.5 | 29.7 | 29 | ||
149 | 38.7 | 35.6 | 33 | 49.8 | 49.7 | 47 | ||
150 | 35.7 | 32.2 | 45 | 59.8 | 59.1 | 17 | ||
151 | 34.4 | 33.6 | 60 | 17.4 | 15.7 | 67 | ||
152 | 32 | 27.1 | 43 | 32.1 | 31.2 | 54 | ||
153 | 22.8 | 18.1 | 43 | 41.1 | 38.1 | 54 | ||
154 | 16.9 | 16.2 | 56 | 54.1 | 53.1 | 59 | ||
155 | 9 | 4.2 | 28 | 13.6 | 10.8 | 62 | ||
156 | 63.8 | 59.4 | 46 | 43 | 39.3 | 45 | ||
157 | 10.2 | 5.3 | 54 | 85.8 | 82.9 | 56 | ||
158 | 52.8 | 51.8 | 48 | 35.6 | 32.6 | 53 | ||
159 | 42.1 | 39.6 | 22 | 25 | 22.7 | 9 | ||
160 | 9.6 | 7.2 | 58 | 8.8 | 4.4 | 50 | ||
161 | 17.8 | 14.2 | 59 | 41.8 | 39.5 | 26 | ||
162 | 48 | 46.3 | 30 | 20.4 | 19.4 | 23 | ||
163 | 67.3 | 63 | 11 | 60.3 | 59 | 22 | ||
164 | 29 | 25 | 65 | 68 | 64.5 | 68 | ||
165 | 13.9 | 11.3 | 49 | 65 | 61.3 | 66 | ||
166 | 18.2 | 16.1 | 35 | 11.3 | 9 | 4 | ||
167 | 54.9 | 53.5 | 67 | 37.5 | 32.9 | 22 | ||
168 | 78.8 | 76.5 | 67 | 88.3 | 87.7 | 30 | ||
169 | 10.5 | 8.4 | 17 | 62.8 | 58.2 | 28 | ||
170 | 21.7 | 17.8 | 24 | 71.8 | 69.2 | 59 | ||
171 | 7.9 | 7.1 | 29 | 86.5 | 84.6 | 53 | ||
172 | 25.1 | 23.8 | 34 | 71.8 | 67.3 | 46 | ||
173 | 22.4 | 17.5 | 23 | 47.1 | 45.2 | 65 | ||
174 | 62.8 | 58.3 | 18 | 89.3 | 85.7 | 11 | ||
175 | 73.1 | 68.3 | 8 | 75 | 70.1 | 28 | ||
176 | 21.1 | 20.7 | 18 | 69.6 | 66.8 | 11 | ||
177 | 50.8 | 46.4 | 41 | 87.4 | 83.5 | 16 | ||
178 | 18.5 | 18.4 | 43 | 24.7 | 22.6 | 15 | ||
179 | 41 | 36.7 | 11 | 73.9 | 72.6 | 14 | ||
180 | 56.9 | 53.6 | 50 | 80.6 | 79.1 | 15 | ||
181 | 60.5 | 60.3 | 13 | 89.1 | 87 | 56 | ||
182 | 56.9 | 55.1 | 42 | 55 | 54.3 | 71 | ||
183 | 20 | 17 | 13 | 24.7 | 22.4 | 57 | ||
184 | 19.5 | 18.2 | 5 | 4.8 | 2.3 | 39 | ||
185 | 25.5 | 20.9 | 53 | 84.2 | 81.8 | 14 | ||
186 | 50.4 | 50 | 15 | 86.9 | 83.5 | 19 | ||
187 | 73.1 | 70.8 | 41 | 85.7 | 81 | 39 | ||
188 | 18.5 | 15.7 | 54 | 40.8 | 38.9 | 51 | ||
189 | 71.3 | 66.4 | 4 | 57.2 | 53.5 | 56 | ||
190 | 69 | 66.9 | 26 | 6.5 | 5.5 | 41 | ||
191 | 60.8 | 57.8 | 15 | 79.1 | 76.1 | 29 | ||
192 | 19.7 | 18.7 | 13 | 14.6 | 12.2 | 1 | ||
193 | 21.9 | 19 | 1 | 1.1 | 0.8 | 2 | ||
194 | 9.4 | 8.6 | 2 | 5 | 4 | 14 | ||
195 | 34.9 | 32.6 | 5 | 8 | 4.9 | 30 | ||
196 | 21.9 | 21.3 | 13 | 27 | 22 | 18 | ||
197 | 27.4 | 23.3 | 12 | 14.8 | 11.9 | 11 | ||
198 | 14.3 | 11.7 | 1 | 54.4 | 53.6 | 15 | ||
199 | 5.2 | 3.8 | 3 | 89.5 | 87.1 | 100 | ||
200 | 14.3 | 10.9 | 7 | 11.5 | 7.6 | 14 | ||
Related Book For
Essentials Of Statistics For Business And Economics
ISBN: 9781305081598
7th Edition
Authors: David Anderson, Thomas Williams, Dennis Sweeney, Jeffrey Cam
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