The manager of a resort hotel stated that the mean guest bill for a weekend is $700 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. Hoiu 2 700 Hu< 700 Holus 700 Hu> 700 Ho u = 700 H4 = 700 The hypotheses Hou 700 and H u < 700 should be used because the accountant wants to test the manager's claim that the mean guest billu is greater than or equal to 700 and find evidence to support u < 700. The hypotheses Ho: u 5 700 and H The hypotheses Hoi u = 700 and H u u > 700 should be used because the accountant wants to test the manager's claim that the mean guest bill u is less than or equal to 700 and find evidence to support u > 700. = 700 should be used because the accountant wants to test the manager's claim that the mean guest bill u is equal to 700 and find evidence to support u + 700. (b) What conclusion is appropriate when He cannot be rejected? We are able to conclude that the manager's claim is wrong. We can conclude that u 700. We are not able to conclude that the manager's claim is wrong. We cannot conclude that u > 700. We are not able to conclude that the manager's claim is wrong. We can conclude that u 2 700. We are able to conclude that the manager's claim is wrong. We can conclude that u = 700. We are not able to conclude that the manager's claim is wrong. We cannot conclude that u + 700. (c) What conclusion is appropriate when He can be rejected? We are not able to conclude that the manager's claim is wrong. We can conclude that u < 700. We are able to conclude that the manager's claim is wrong. We can conclude that u > 700. We are able to conclude that the manager's claim is wrong. We can conclude that u < 700. We are able to conclude that the manager's claim is wrong. We can conclude that u + 700. We are not able to conclude that the manager's claim is wrong. We can conclude that u > 700.
Added by Thomas W.
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Step 1: (a) Formulate the hypotheses as a one-sided test to challenge the manager’s claim μ ≤ 700: H0: μ ≤ 700 H1: μ > 700 Show more…
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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. H_0: μ ≥ 800 H_a: μ < 800 H_0: μ ≤ 800 H_a: μ > 800 H_0: μ = 800 H_a: μ ≠ 800 The hypotheses H_0: 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 H_0: 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 H_0: 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 H_0 cannot 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 cannot 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 cannot conclude that μ > 800. (c) What conclusion is appropriate when H_0 can be rejected? 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. We are able to conclude that the manager's claim is wrong. We can conclude that μ ≠ 800.
Sri K.
The manager of a resort hotel stated that the mean guest bill for a weekend is $1,400 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) Consider the following hypotheses. H0: 𝜇 ≥ 1,400 Ha: 𝜇 < 1,400 H0: 𝜇 ≤ 1,400 Ha: 𝜇 > 1,400 H0: 𝜇 = 1,400 Ha: 𝜇 ≠ 1,400 Which form of the hypotheses should be used to test the manager's claim? Explain. The hypotheses H0: 𝜇 ≥ 1,400 and Ha: 𝜇 < 1,400 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 1,400 and find evidence to support 𝜇 < 1,400. The hypotheses H0: 𝜇 ≤ 1,400 and Ha: 𝜇 > 1,400 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 1,400 and find evidence to support 𝜇 > 1,400. The hypotheses H0: 𝜇 = 1,400 and Ha: 𝜇 ≠ 1,400 should be used because the accountant wants to test the manager's claim that the mean guest bill 𝜇 is equal to 1,400 and find evidence to support 𝜇 ≠ 1,400. (b) What conclusion is appropriate when H0 cannot be rejected? We are not able to conclude that the manager's claim is wrong. We can conclude that 𝜇 ≥ 1,400. We are not able to conclude that the manager's claim is wrong. We cannot conclude that 𝜇 ≠ 1,400. We are able to conclude that the manager's claim is wrong. We can conclude that 𝜇 = 1,400. We are not able to conclude that the manager's claim is wrong. We cannot conclude that 𝜇 > 1,400. We are able to conclude that the manager's claim is wrong. We can conclude that 𝜇 ≤ 1,400. (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 ≠ 1,400. We are not able to conclude that the manager's claim is wrong. We can conclude that 𝜇 < 1,400. We are not able to conclude that the manager's claim is wrong. We can conclude that 𝜇 > 1,400. We are able to conclude that the manager's claim is wrong. We can conclude that 𝜇 > 1,400. We are able to conclude that the manager's claim is wrong. We can conclude that 𝜇 < 1,400.
Qudsiya A.
The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600$ 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. $$\begin{array}{lll} H_{0}: \mu \geq 600 & H_{0}: \mu \leq 600 & H_{0}: \mu=600 \\ H_{\mathrm{a}}: \mu < 600 & H_{\mathrm{a}}: \mu > 600 & H_{\mathrm{a}}: \mu \neq 600 \end{array}$$ b. What conclusion is appropriate when $H_{0}$ cannot be rejected? c. What conclusion is appropriate when $H_{0}$ can be rejected?
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