Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Person 1 2 3 4 5 6 7 8 9 10 11 Miles with 87 Octane 234 257 243 215 114 287 315 229 Ho: Pa H₁: Pa 192 204 547 Miles with 92 Octane =0 237 238 229 224 119 297 351 #0 241 186 Do the data support that different octanes produce different miles per gallon at the a = 0.02 level of significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers. 209 a. Express the null and alternative hypotheses in symbolic form for this claim. Assume μ = μ₁ −μ2, where ₁ is the population mean mileage for Octane 87 and 2 is the mean mileage for Octane 92. 562 b. What is the significance level? α= 0.05 0° X c. What is the test statistic? Round to 3 decimal places. O= 0.1065 X d. What is the p -value? Round to 5 decimal places. P = 0.91630 X

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Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The
following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and
record their mileage for each 87 Octane and 92 Octane.
Person
1
2
3
4
5
6
7
8
9
10
11
Miles with
87 Octane
234
257
243
215
114
287
315
229
Ho: Mā
H₁:μã
192
204
547
Miles with
92 Octane
237
238
229
224
119
297
351
=0
#0
241
186
209
Do the data support that different octanes produce different miles per gallon at the a =
0.02 level of
significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane
92 indicates the population could be normal and a boxplot indicated no outliers.
562
a. Express the null and alternative hypotheses in symbolic form for this claim. Assume μ = μ1 −μ2,
where μ₁ is the population mean mileage for Octane 87 and µ2 is the mean mileage for Octane 92.
b. What is the significance level?
α = 0.05
X
c. What is the test statistic? Round to 3 decimal places.
= 0.1065
X
d. What is the p-value? Round to 5 decimal places.
p =
0.91630
X
Transcribed Image Text:Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Person 1 2 3 4 5 6 7 8 9 10 11 Miles with 87 Octane 234 257 243 215 114 287 315 229 Ho: Mā H₁:μã 192 204 547 Miles with 92 Octane 237 238 229 224 119 297 351 =0 #0 241 186 209 Do the data support that different octanes produce different miles per gallon at the a = 0.02 level of significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers. 562 a. Express the null and alternative hypotheses in symbolic form for this claim. Assume μ = μ1 −μ2, where μ₁ is the population mean mileage for Octane 87 and µ2 is the mean mileage for Octane 92. b. What is the significance level? α = 0.05 X c. What is the test statistic? Round to 3 decimal places. = 0.1065 X d. What is the p-value? Round to 5 decimal places. p = 0.91630 X
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