I need help solving Question HelpA car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of7 cars has a mean gas mileage of 21 mpg and a standard deviation of 5 mpg. At a = 0.025, test the company's claim. Assume the population is normally distributed.Click here to view the t-distribution table.Click here to view page 1 of the normal table.Click here to view page 2 of the normal table.aO C. H: μ > 23Ha: H<23Ο D. H μ523Hai H> 23What is the value of the standardized test statistic?The standardized test statistic is . (Round to two decimal places as needed.)What is the critical value?The critical value is(Round to three decimal places as needed.)What is the outcome and the conclusion of this test?Ho. At the 2.5% significance level, there isevidence toV the car company's claim that the mean gas mileage for the luxury sedan is atleast 23 miles per gallon.

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Description: I need help solving Question HelpA car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of7 cars has a mean gas mileage of 21 mpg and a

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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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Step 1

From the provided information,

Sample size (n) = 7

Sample mean (x̅) = 21

Sample standard deviation (s) = 5

Since, the population standard deviation is unknown, therefore, the t distribution will be used.

Step 2

The hypotheses are as follow:

H₀: µ ≥ 23

H_a: µ < 23

Level of significance (α) = 0.025

The value of the test statistic can be obtained as:

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