ome people believe that different octane gasoline result in different miles per gallon in vehicle. The following data is a sample of 11 people which were asked to drive their car -nly using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Miles Miles with with Person 87 92 Octane Octane 1 234 237 2 257 238 3 243 229 4 215 224 114 119 6 287 297 7 315 351 8 229 241 192 186 10 204 209 11 547 562 Do the data support that different octanes produce different miles per gallon at the x = 0.02 level of significance? Note: A normal probability plot of difference in car nileage between Octane 87 and Octane 92 indicates the population could be normal and boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Ha = H1 - H2, where 4i is the population mean mileage for Octane 87 and Hz is the mean mileage for Octane 92. H:Ha Select an answer H1:Ha Select an answer b. What is the significance level? c. What is the test statistic? Round to 3 decimal places. d. What is the p -value? Round to 5 decimal places. p =

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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.
Miles
with
Miles
with
Person
87
92
Octane
Octane
1
234
237
2
257
238
243
229
4
215
224
5
114
119
287
297
7
315
351
8.
229
241
9
192
186
10
204
209
11
547
562
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.
a. Express the null and alternative hypotheses in symbolic form for this claim. Assume
Ha = H1 - H2, where 4i is the population mean mileage for Octane 87 and lz is
the mean mileage for Octane 92.
Ho: Ha Select an answer
H1: Ha Select an answer
b. What is the significance level?
a =
c. What is the test statistic? Round to 3 decimal places.
d. What is the p -value? Round to 5 decimal places.
p =
6.
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. Miles with Miles with Person 87 92 Octane Octane 1 234 237 2 257 238 243 229 4 215 224 5 114 119 287 297 7 315 351 8. 229 241 9 192 186 10 204 209 11 547 562 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. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Ha = H1 - H2, where 4i is the population mean mileage for Octane 87 and lz is the mean mileage for Octane 92. Ho: Ha Select an answer H1: Ha Select an answer b. What is the significance level? a = c. What is the test statistic? Round to 3 decimal places. d. What is the p -value? Round to 5 decimal places. p = 6.
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