A car company says that the mean gas mileage for its luxury sedan is at least 21 miles per gallon. you believe the claim is incorrect and find that the random sample of 7 cars has a mean gas mileage as of 18 mpg and a standard deviation of 2 mpg. at a=0.05, test the companys claim. assume the population is normally distributed. use t-distribution table. Which sampling distribution should be used and why?O A. Use a t-sampling distribution because the population isnormal, and o is known.O B. Use a t-sampling distribution because the population isnormal, and o is unknown.O C. Use a normal sampling distribution because thepopulation is normal, and o is unknown.O D. Use a normal sampling distribution because thepopulation is normal, and o is known.O E. Use a t-sampling distribution becausen<30.O F. Use a normal sampling distribution because n> 30.State the appropriate hypotheses to test.Ο Α. Η0 μ21Ha p> 21Ο Β. H μ-21Ha µ±21O C. Ho µ 21H p= 21D. Ho u 21Ha p<21 What 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?evidence tothe car company's claim that the meanHo At the 5% significance level, there isgas mileage for the luxury sedan is at least 21 miles per gallon.

Denote μ as the true mean gas mileage of luxury sedan.

Answered: A car company says that the mean gas…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A car company says that the mean gas mileage for its luxury sedan is at least 21 miles per gallon. you believe the claim is incorrect and find that the random sample of 7 cars has a mean gas mileage as of 18 mpg and a standard deviation of 2 mpg. at a=0.05, test the companys claim. assume the population is normally distributed. use t-distribution table.

Which sampling distribution should be used and why?
O A. Use a t-sampling distribution because the population is
normal, and o is known.
O B. Use a t-sampling distribution because the population is
normal, and o is unknown.
O C. Use a normal sampling distribution because the
population is normal, and o is unknown.
O D. Use a normal sampling distribution because the
population is normal, and o is known.
O E. Use a t-sampling distribution becausen<30.
O F. Use a normal sampling distribution because n> 30.
State the appropriate hypotheses to test.
Ο Α. Η0 μ21
Ha p> 21
Ο Β. H μ-21
Ha µ±21
O C. Ho µ 21
H p= 21
D. Ho u 21
Ha p<21

What 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?
evidence to
the car company's claim that the mean
Ho At the 5% significance level, there is
gas mileage for the luxury sedan is at least 21 miles per gallon.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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