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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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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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.

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