The manager of a resort hotel stated that the mean guest bill for a weekend is $800 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim. (a) Which form of the hypotheses should be used to test the manager's claim? Explain. H0: μ ≥ 800 Ha: μ < 800 H0: μ ≤ 800 Ha: μ > 800 H0: μ = 800 Ha: μ ≠ 800 The hypotheses H0: μ ≥ 800 and Ha: μ < 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is greater than or equal to 800 and find evidence to support μ < 800.The hypotheses H0: μ ≤ 800 and Ha: μ > 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is less than or equal to 800 and find evidence to support μ > 800. The hypotheses H0: μ = 800 and Ha: μ ≠ 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is equal to 800 and find evidence to support μ ≠ 800. (b) What conclusion is appropriate when H0 cannot be rejected? We are not able to conclude that the manager's claim is wrong. We cannot conclude that μ ≠ 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ = 800. We are not able to conclude that the manager's claim is wrong. We cannot conclude that μ > 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ ≤ 800.We are not able to conclude that the manager's claim is wrong. We can conclude that μ ≥ 800. (c) What conclusion is appropriate when H0 can be rejected? We are able to conclude that the manager's claim is wrong. We can conclude that μ > 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ < 800. We are not able to conclude that the manager's claim is wrong. We can conclude that μ > 800.We are not able to conclude that the manager's claim is wrong. We can conclude that μ < 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ ≠ 800.

The manager of a resort hotel stated that the mean guest bill for a weekend is $800 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim. (a) Which form of the hypotheses should be used to test the manager's claim? Explain. H0: μ ≥ 800 Ha: μ < 800 H0: μ ≤ 800 Ha: μ > 800 H0: μ = 800 Ha: μ ≠ 800 The hypotheses H0: μ ≥ 800 and Ha: μ < 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is greater than or equal to 800 and find evidence to support μ < 800.The hypotheses H0: μ ≤ 800 and Ha: μ > 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is less than or equal to 800 and find evidence to support μ > 800. The hypotheses H0: μ = 800 and Ha: μ ≠ 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is equal to 800 and find evidence to support μ ≠ 800. (b) What conclusion is appropriate when H0 cannot be rejected? We are not able to conclude that the manager's claim is wrong. We cannot conclude that μ ≠ 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ = 800. We are not able to conclude that the manager's claim is wrong. We cannot conclude that μ > 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ ≤ 800.We are not able to conclude that the manager's claim is wrong. We can conclude that μ ≥ 800. (c) What conclusion is appropriate when H0 can be rejected? We are able to conclude that the manager's claim is wrong. We can conclude that μ > 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ < 800. We are not able to conclude that the manager's claim is wrong. We can conclude that μ > 800.We are not able to conclude that the manager's claim is wrong. We can conclude that μ < 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ ≠ 800.

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Description: The manager of a resort hotel stated that the mean guest bill for a weekend is $800 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a samp

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)

Which form of the hypotheses should be used to test the manager's claim? Explain.

H₀: μ ≥ 800

H_a: μ < 800

H₀: μ ≤ 800

H_a: μ > 800

H₀: μ = 800

H_a: μ ≠ 800

The hypotheses H₀: μ ≥ 800 and H_a: μ < 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is greater than or equal to 800 and find evidence to support μ < 800.The hypotheses H₀: μ ≤ 800 and H_a: μ > 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is less than or equal to 800 and find evidence to support μ > 800. The hypotheses H₀: μ = 800 and H_a: μ ≠ 800 should be used because the accountant wants to test the manager's claim that the mean guest bill μ is equal to 800 and find evidence to support μ ≠ 800.

(b)

What conclusion is appropriate when

H₀

cannot be rejected?

We are not able to conclude that the manager's claim is wrong. We cannot conclude that μ ≠ 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ = 800. We are not able to conclude that the manager's claim is wrong. We cannot conclude that μ > 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ ≤ 800.We are not able to conclude that the manager's claim is wrong. We can conclude that μ ≥ 800.

(c)

What conclusion is appropriate when

H₀

can be rejected?

We are able to conclude that the manager's claim is wrong. We can conclude that μ > 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ < 800. We are not able to conclude that the manager's claim is wrong. We can conclude that μ > 800.We are not able to conclude that the manager's claim is wrong. We can conclude that μ < 800.We are able to conclude that the manager's claim is wrong. We can conclude that μ ≠ 800.

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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