Problem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 28.9 miles per gallon on the highway. They want to put a smaller engine in this type of car, and they want to see if this increases the average mileage. They test the new engine on a random sample of 6 cars. The mileages for this sample of cars are shown below: 31.4, 28.6, 29.5, 30.4, 28.6, 30.8 The sample mean and sample standard deviation are calculated to be 29.9 mpg and 1.17 mpg, respectively. Mileages are known to follow a normal distribution with variance 1.7 mpg2. We would like to conduct a hypothesis test at the 1% level of significance. (a) What is the appropriate rejection region? (b) What is the value of the test statistic?

Problem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 28.9 miles per gallon on the highway. They want to put a smaller engine in this type of car, and they want to see if this increases the average mileage. They test the new engine on a random sample of 6 cars. The mileages for this sample of cars are shown below: 31.4, 28.6, 29.5, 30.4, 28.6, 30.8 The sample mean and sample standard deviation are calculated to be 29.9 mpg and 1.17 mpg, respectively. Mileages are known to follow a normal distribution with variance 1.7 mpg2. We would like to conduct a hypothesis test at the 1% level of significance. (a) What is the appropriate rejection region? (b) What is the value of the test statistic?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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