Question
In: Statistics and Probability
An investigator for a consumer cooperative organized a study of the mileages obtainable from three different...
An investigator for a consumer cooperative organized a study of the mileages obtainable from three different brands of gasoline. Using 15 identical motors set to run at the same speed, the investigator randomly assigned each brand of gasoline to 5 of the motors. Each of the motors was then run on 10 gallons of gasoline, with the total mileages obtained as follows. Gas1 Gas 2 Gas 3 220 244 252 251 235 272 226 232 250 246 242 238 260 225 256 Test the hypothesis that the average mileage obtained is the same for all three types of gasoline. Use the 5 percent level of significance
Solutions
Expert Solution
We use minitab to solve this question-
P-value =0.115 > 0.05 therefore average mileage obtained is the same for all three types of gasoline.
orchestra answered 1 year agoRelated Solutions
A consumer group conducts a study to compare the average mileages (in units of miles per...
A consumer group conducts a study to compare the average
mileages (in units of miles per gallon, mpg) of two popular car
brands achieved in road tests. A random sample of 5 cars from Brand
1 were tested, yielding mean mileage xbar1= 29.5 mpg and sample
standard deviation s1 = 7.4 mpg. A random
sample of 8 cars from Brand 2 were tested, yielding mean mileage
xbar2= 31.6 mpg and s2 = 8.4 mpg. Assume that
two populations from which...
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area
of 20 different electric space heaters with different wattages.
Here are the results.
Heater
Wattage
Area
1
1,460
229
2
790
55
3
1,430
176
4
1,260
124
5
1,280
161
6
1,290
230
7
1,010
103
8
1,900
281
9
1,100
136
10
1,530
240
11
1,150
87
12
420
76
13
400
56
14
1,440
181
15
1,940
255
16
1,420
223
17
680
75
18
1,580
198
19...
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area
of 20 different electric space heaters with different wattages.
Here are the results.
Heater
Wattage
Area
1
1500
86
2
2000
129
3
1250
161
4
2000
224
5
2000
82
6
2000
99
7
750
80
8
1250
228
9
2000
282
10
1000
50
11
2000
279
12
1500
179
13
1500
206
14
750
44
15
1250
150
16
1250
293
17
1500
228
18
1000
222
19...
A consumer buying cooperative tested the effective heating areaof 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area
of 20 different electric space heaters with different wattages.
Here are the results.HeaterWattageArea11,0004527505531,50020041,25010051,25014567502071,50044581,0006592,000455101,00045111,10055121,6503451330020142,250435151,750345162,000435171,500225182,00054519500302040030Click here for the Excel Data FileCompute the correlation between the wattage and heating area. Is
there a direct or an indirect relationship? (Negative value
should be indicated by a minus sign. Round your answer to 3 decimal
places.)Conduct a test of hypothesis to determine if it is reasonable
that the coefficient is greater than zero. Use the 0.10...
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area
of 20 different electric space heaters with different wattages.
Here are the results.
Heater
Wattage
Area
1
1,580
194
2
650
73
3
1,510
202
4
1,240
138
5
1,180
154
6
1,320
207
7
1,000
109
8
1,910
272
9
1,100
134
10
1,450
192
11
1,160
87
12
420
44
13
400
81
14
1,410
187
15
1,950
221
16
1,600
206
17
690
71
18
1,420
202
19...
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area
of 20 different electric space heaters with different wattages.
Here are the results.
Heater
Wattage
Area
1
1,750
108
2
1,000
234
3
1,250
281
4
750
208
5
1,750
90
6
1,250
213
7
1,250
158
8
1,750
216
9
1,500
255
10
1,250
220
11
1,250
108
12
1,750
208
13
2,000
89
14
1,500
266
15
2,000
262
16
1,000
61
17
1,500
166
18
750
284
19...
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area
of 20 different electric space heaters with different wattages.
Here are the results.
Heater Wattage
Area
1 1,580 194
2 659 73
3 1,510 202
4 1,240 138
5 1,180 154
6 1,320 207
7 1,000 109
8 1,910 272
9 1,100 134
10 1,450 192
11 1,160 87
12 420 44
13 400 81
14 1,410 187
15 1,950 221
16 1,600 206
17 690 71
18 1,420 202...
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area
of 20 different electric space heaters with different wattages.
Here are the results.
Heater Wattage Area
1 1,560 175
2 720 85
3 1,450 216
4 1,290 173
5 1,180 188
6 1,340 236
7 920 85
8 1,920 301
9 1,020 164
10 1,490 240
11 1,170 131
12 410 48
13 530 56
14 1,570 231
15 1,940 260
16 1,440 238
17 650 72
18 1,420 196
19...
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area of
20 different electric space heaters with different wattages. Here
are the results.
Heater
Wattage
Area
1
1,500
131
2
1,500
142
3
750
111
4
1,500
264
5
1,250
237
6
1,750
267
7
1,500
61
8
2,000
135
9
2,000
263
10
2,000
263
11
750
125
12
1,500
76
13
2,000
77
14
750
170
15
1,000
165
16
1,000
152
17
1,000
238
18
1,750
209
19...
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...
A consumer buying cooperative tested the effective heating area
of 20 different electric space heaters with different wattages.
Here are the results.
Heater
Wattage
Area
1
1,500
184
2
680
85
3
1,430
170
4
1,290
147
5
1,240
198
6
1,260
204
7
940
95
8
1,960
284
9
960
145
10
1,580
187
11
1,340
120
12
440
76
13
460
83
14
1,420
235
15
1,970
255
16
1,420
220
17
820
85
18
1,500
230
19...
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