To evaluate if auditors might be helped in determining the chances of fraud if they carefully measure cash flow, samples of midlevel auditors from CPA firms were asked to indicate the chance of material fraud on a scale from 0 to 100 for a case. A random sample of 41 auditors used the cash-flow information. Their mean assessment was 33.19, and the sample standard deviation was 21.73. For an independent random sample of 41 auditors not using the cash-flow information, the sample mean and standard deviation were, respectively, 36.65 and 25.87. Assuming that the two population distributions are normal with equal variances, test against a two-sided alternative the null hypothesis that the population means are equal. (Use α = 0.05.) Let Hx be the mean assessment for auditors who measured cash flow and μy be the mean assessment for auditors not using the cash-flow information. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hx-Hy = 0 H₁: Hx-Hy 20 OD. Ho: Hx-Hy = 0 H₁: Hx-Hy ≤0 O B. Ho: Hx - Hy #0 H₁: Hx - Hy = 0 OE. Ho: Hx-Hy = 0 H₁: Px -Hy >0 OC. Ho: Hx-Hy = 0 H1: Hx — Hy #0 OF. Ho: Hx-Hy = 0 H₁: Hx -Hy <0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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To evaluate if auditors might be helped in determining the chances of fraud if they carefully measure cash flow, samples of midlevel auditors from CPA firms were asked to indicate the
chance of material fraud on a scale from 0 to 100 for a case. A random sample of 41 auditors used the cash-flow information. Their mean assessment was 33.19, and the sample
standard deviation was 21.73. For an independent random sample of 41 auditors not using the cash-flow information, the sample mean and standard deviation were, respectively,
36.65 and 25.87. Assuming that the two population distributions are normal with equal variances, test against a two-sided alternative the null hypothesis that the population means are
equal. (Use α = 0.05.)
Let μx be the mean assessment for auditors who measured cash flow and μy be the mean assessment for auditors not using the cash-flow information. Determine the null and
alternative hypotheses. Choose the correct answer below.
O A. Ho: Hx-Hy=0
H₁: Hx - Hy 20
OD. Ho: Hx-Hy = 0
H₁: Hx-Hy ≤0
OB. Ho: Hx-Hy #0
H₁: Hx - Hy = 0
O E. Ho: Hx-Hy = 0
H₁: Hx -Hy >0
OC. Ho: Hx-Hy = 0
H₁: Hx-Hy #0
OF. Ho: Hx-Hy = 0
H₁: Hx-Hy <0
Transcribed Image Text:To evaluate if auditors might be helped in determining the chances of fraud if they carefully measure cash flow, samples of midlevel auditors from CPA firms were asked to indicate the chance of material fraud on a scale from 0 to 100 for a case. A random sample of 41 auditors used the cash-flow information. Their mean assessment was 33.19, and the sample standard deviation was 21.73. For an independent random sample of 41 auditors not using the cash-flow information, the sample mean and standard deviation were, respectively, 36.65 and 25.87. Assuming that the two population distributions are normal with equal variances, test against a two-sided alternative the null hypothesis that the population means are equal. (Use α = 0.05.) Let μx be the mean assessment for auditors who measured cash flow and μy be the mean assessment for auditors not using the cash-flow information. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Hx-Hy=0 H₁: Hx - Hy 20 OD. Ho: Hx-Hy = 0 H₁: Hx-Hy ≤0 OB. Ho: Hx-Hy #0 H₁: Hx - Hy = 0 O E. Ho: Hx-Hy = 0 H₁: Hx -Hy >0 OC. Ho: Hx-Hy = 0 H₁: Hx-Hy #0 OF. Ho: Hx-Hy = 0 H₁: Hx-Hy <0
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