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For a random sample of 36 auditors using cash-flow information (mean = 36.21, sample standard deviation = 22.93) and another sample of 36 auditors not using it (mean = 47.56, sample standard deviation = 27.56), compare the means and standard deviations.

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Final answer:

The mean and standard deviation for auditors using cash-flow information are 36.21 and 22.93, respectively, while for those not using it, they are 47.56 and 27.56.

Step-by-step explanation:

To compare the means and standard deviations of two samples of auditors, one using cash-flow information and the other not using it, we can observe the provided statistics: Sample 1 (with cash-flow information) has a mean (μ1) of 36.21 and a standard deviation (s1) of 22.93, and Sample 2 (without cash-flow information) has a mean (μ2) of 47.56 and a standard deviation (s2) of 27.56. Both samples have the same number of auditors (n=36).

To assess if the means are significantly different, we could perform a two-sample t-test; however, without additional information regarding the hypotheses or level of significance, we cannot complete this test. To compare the standard deviations, we can directly compare the values, knowing that the standard deviation is a measure of spread around the mean. Here, the second sample shows a higher standard deviation, implying a wider spread or more variability in the data.

Hence, the mean and standard deviation for auditors using cash-flow information are 36.21 and 22.93, respectively, while for those not using it, they are 47.56 and 27.56.

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