A car company says that the mean gas mileage for its luxury sedan is at least22miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of6cars has a mean gas mileage of21mpg and a standard deviation of2mpg. Atα=0.10,test the company's claim. Assume the population is normally distributed.Click here to view the t-distribution table.LOADING...Click here to view page 1 of the normal table.LOADING...Click here to view page 2 of the normal table.LOADING...Which sampling distribution should be used and why? A.Use a normal sampling distribution because the population is normal, andσis known. B.Use a t-sampling distribution because the population is normal, andσis known. C.Use a normal sampling distribution because the population is normal, andσis unknown. D.Use a t-sampling distribution becausen<30. E.Use a normal sampling distribution becausen>30. F.Use a t-sampling distribution because the population is normal, andσis unknown.State the appropriate hypotheses to test. A.H0:μ≠22Ha:μ=22 B.H0:μ≥22

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Answered: A car company says that the mean gas…

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 says that the mean gas mileage for its luxury sedan is at least

miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of

cars has a mean gas mileage of

mpg and a standard deviation of

mpg. At

α=0.10,

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.

Which sampling distribution should be used and why?

Use a normal sampling distribution because the population is normal, and

is known.

Use a t-sampling distribution because the population is normal, and

is known.

Use a normal sampling distribution because the population is normal, and

is unknown.

Use a t-sampling distribution because

n<30.

Use a normal sampling distribution because

n>30.

Use a t-sampling distribution because the population is normal, and

is unknown.

State the appropriate hypotheses to test.

H0:

μ≠22

Ha:

μ=22

H0:

μ≥22

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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