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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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 mpg. 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? (A) {z > 2.33} (B) {z > 2.575} (C) {z > 2.575} (D) {z < -2.33} (E) {z < -2.575} (F) {z > 2.33}
Transcribed Image Text: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 mpg. 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? (A) {z > 2.33} (B) {z > 2.575} (C) {z > 2.575} (D) {z < -2.33} (E) {z < -2.575} (F) {z > 2.33}
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