Answered: least 21 miles per gallon (mpg). You…

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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I need help with a stats problem, section 7.2 and 7.3, Please help with TI-84 calculator commands, thanks

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.

Which sampling distribution should be used and why?

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

is known.

B. Use a t-sampling distribution because

n<30.

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

is unknown.

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

is known.

E. Use a normal sampling distribution because

n>30.

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

is unknown

Write the appropriate hypotheses to test.

What is the value of the standarized test statistic?

The standardized test statistic is _____________ (round to 2 decimal places as needed)

What is the critical value?

The critical value is _____________ (round to 2 decimal places as needed)

What is outcome and conclusion of this test?

(1) ___________ (reject or fail to reject) Ho. AT the 10% significance level there is (2) __________ ( insufficient or sufficient) evidence to (3) ______________ (support or reject) the car company's claim that the mean 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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