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A car company claims that its new SUV gets better gas mileage than its competitor’s SUV. A random sample of 3232 of its SUVs has a mean gas mileage of 12.712.7 miles per gallon (mpg). The population standard deviation is known to be 0.90.9 mpg. A random sample of 4141 competitor’s SUVs has a mean gas mileage of 12.412.4 mpg. The population standard deviation for the competitor is known to be 0.70.7 mpg. Test the company’s claim at the 0.010.01 level of significance. Let the car company's SUVs be Population 1 and let the competitor's SUVs be Population 2.   Step 3 of 3 :   Draw a conclusion and interpret the decision.

A car company claims that its new SUV gets better gas mileage than its competitor’s SUV. A random sample of 3232 of its SUVs has a mean gas mileage of 12.712.7 miles per gallon (mpg). The population standard deviation is known to be 0.90.9 mpg. A random sample of 4141 competitor’s SUVs has a mean gas mileage of 12.412.4 mpg. The population standard deviation for the competitor is known to be 0.70.7 mpg. Test the company’s claim at the 0.010.01 level of significance. Let the car company's SUVs be Population 1 and let the competitor's SUVs be Population 2.   Step 3 of 3 :   Draw a conclusion and interpret the decision.

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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A car company claims that its new SUV gets better gas mileage than its competitor’s SUV. A random sample of 3232 of its SUVs has a mean gas mileage of 12.712.7 miles per gallon (mpg). The population standard deviation is known to be 0.90.9 mpg. A random sample of 4141 competitor’s SUVs has a mean gas mileage of 12.412.4 mpg. The population standard deviation for the competitor is known to be 0.70.7 mpg. Test the company’s claim at the 0.010.01 level of significance. Let the car company's SUVs be Population 1 and let the competitor's SUVs be Population 2.
 
Step 3 of 3 :  
Draw a conclusion and interpret the decision.
Expert Solution
Step 1: Mentioning the given data

Company's SUV

Sample size, straight n subscript 1 equals 32

Sample mean, straight x with bar on top subscript 1 equals 12.7

Population standard deviation, straight sigma subscript 1 equals 0.9


New SUV

Sample size, straight n subscript 2 equals 41

Sample mean, straight x with bar on top subscript 2 equals 12.4

Population standard deviation, straight sigma subscript 2 equals 0.7


straight alpha equals 0.01

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