need help with stats/2023, section 7.2 and 7.3, please help with TI-84 commands A car company says that the mean gas mileage for its luxury sedan is at least 22 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 21 mpg and a standard deviation of 5mpg. 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 normal sampling distribution because the population is normal, and σ is known. B. Use a normal sampling distribution because the population is normal, and σ is unknown. C. Use a t-sampling distribution because the population is normal, and σ is unknown. D. Use a t-sampling distribution because n<30. E. Use a t-sampling distribution because the population is normal, and σ is known F. Use a normal sampling distribution because n>30. Write out the appropriate hypotheses to test and state the claim: Ho: Ha: What is the value of the standardized 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 3 decimal places as needed) What is the outcome and the conclusion of the test? (1) _ (reject or fail to reject) Ho. At the 10% significance level, there is (2) _ (sufficient or insufficient) eveidence to (3)____________ ( reject or support) the car company's claim that the mean gas mileage for the luxury sedan is at least 22 miles per gallon.

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 stats/2023, section 7.2 and 7.3, please help with TI-84 commands

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

22 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5

cars has a mean gas mileage of 21 mpg and a standard deviation of 5mpg. 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 normal sampling distribution because the population is normal, and σ is known.

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

σ is unknown.

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

is unknown.

D. Use a t-sampling distribution because n<30.

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

σ is known

F. Use a normal sampling distribution because

n>30.

Write out the appropriate hypotheses to test and state the claim:

Ho:

Ha:

What is the value of the standardized 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 3 decimal places as needed)

What is the outcome and the conclusion of the test?

(1) ___________ (reject or fail to reject) Ho. At the 10% significance level, there is (2) ___________ (sufficient or insufficient) eveidence to (3)__________________ ( reject or support) the car company's claim that the mean gas mileage for the luxury sedan is at least 22 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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