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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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