#3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.6 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 10 cars. The mileages for this sample of cars are shown below: 29.9, 31.1, 28.3, 30, 30.3, 28.5, 30.3, 26.9, 29.3, 29.8 The sample mean and sample standard deviation are calculated to be 29.4 mpg and 1.23 mpg, respectively. Mileages are known to follow a normal distribution with variance 1.8 mpg. We would like to conduct a hypothesis test at the 1% level of significance. #3(b): (a) What is the appropriate rejection region? (b) What is the value of the test statistic? (A) {z-2.575) (B) (z 2.33; (C) {z 2.33} (D) {z -2.33; (E) (z 2.575) (F) {z > 2.575) m =3(a): Select Part (a) choices. answer correct to 2 decimals

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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oblem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.6 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 10 cars. The mileages for this sample of cars
are shown below:
29.9, 31.1, 28.3, 30, 30.3, 28.5, 30.3, 26.9, 29.3, 29.8
The sample mean and sample standard deviation are calculated to be 29.4 mpg and 1.23 mpg, respectively.
Mileages are known to follow a normal distribution with variance 1.8 mpg. We would like to conduct a
hypothesis test at the 1% level of significance.
Problem #3(b):
(a) What is the appropriate rejection region?
(b) What is the value of the test statistic?
(A) {z-2.575) (B) {z 2.33 (C) {z 2.33} (D) {z -2.33} (E) z 2.575) (F) {z > 2.575}
Problem #3(a): Select Part (a) choices.
answer correct to 2 decimals
Transcribed Image Text:oblem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.6 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 10 cars. The mileages for this sample of cars are shown below: 29.9, 31.1, 28.3, 30, 30.3, 28.5, 30.3, 26.9, 29.3, 29.8 The sample mean and sample standard deviation are calculated to be 29.4 mpg and 1.23 mpg, respectively. Mileages are known to follow a normal distribution with variance 1.8 mpg. We would like to conduct a hypothesis test at the 1% level of significance. Problem #3(b): (a) What is the appropriate rejection region? (b) What is the value of the test statistic? (A) {z-2.575) (B) {z 2.33 (C) {z 2.33} (D) {z -2.33} (E) z 2.575) (F) {z > 2.575} Problem #3(a): Select Part (a) choices. answer correct to 2 decimals
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