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 2 is the mean mileage for Octane 92. =0 Ho: Pa H₁:0 b. What is the significance level? α = c. What is the test statistic? Round to 3 decimal places. Or d. What is the p-value? Round to 5 decimal places. P =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
لیا
6
7
8
9
10
11
Miles with
87 Octane
234
257
243
215
114
287
315
229
192
204
547
Miles with
92 Octane
Ho : u d
H₁: Pa
#0
237
238
229
224
119
297
351
=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 µā = µ₁ − µ2,
where ₁ is the population mean mileage for Octane 87 and µ is the mean mileage for Octane 92.
b. What is the significance level?
α =
c. What is the test statistic? Round to 3 decimal places.
d. What is the p-value? Round to 5 decimal places.
P =
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 لیا 6 7 8 9 10 11 Miles with 87 Octane 234 257 243 215 114 287 315 229 192 204 547 Miles with 92 Octane Ho : u d H₁: Pa #0 237 238 229 224 119 297 351 =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 µā = µ₁ − µ2, where ₁ is the population mean mileage for Octane 87 and µ is the mean mileage for Octane 92. b. What is the significance level? α = 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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