A car company says that the mean gas mileage for its luxury sedan is at least 20 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 18 mpg and a standard deviation of 2 mpg. At α=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... Question content area bottom Part 1 Which sampling distribution should be used and why? A. Use a t-sampling distribution because the population is normal, and σ is unknown. Your answer is correct. B. Use a normal sampling distribution because the population is normal, and σ is known. C. Use a t-sampling distribution because n<30. D. Use a normal sampling distribution because n>30. E. Use a normal sampling distribution because the population is normal, and σ is unknown. F. Use a t-sampling distribution because the population is normal, and σ is known. Part 2 State the appropriate hypotheses to test. A. H0: μ≥20 Ha: μ<20 Your answer is correct. B. H0: μ≠20 Ha: μ=20 C. H0: μ=20 Ha: μ≠20 D. H0: μ≤20 Ha: μ>20 Part 3 What is the value of the standardized test statistic? The standardized test statistic is negative 2.24−2.24. (Round to two decimal places as needed.) Part 4 What is the critical value? The critical value is enter your response here. (Round to three decimal places as needed.)

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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Question content area bottom

Part 1

Which sampling distribution should be used and why?

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

is unknown.

Your answer is correct.

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

is known.

Use a t-sampling distribution because

n<30.

Use a normal sampling distribution because

n>30.

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

is unknown.

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

is known.

Part 2

State the appropriate hypotheses to test.

H0:

μ≥20

Ha:

μ<20

Your answer is correct.

H0:

μ≠20

Ha:

μ=20

H0:

μ=20

Ha:

μ≠20

H0:

μ≤20

Ha:

μ>20

Part 3

What is the value of the standardized test statistic?

The standardized test statistic is

negative 2.24−2.24.

(Round to two decimal places as needed.)

Part 4

What is the critical value?

The critical value is

enter your response here.

(Round to three decimal places as needed.)

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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