Suppose that for a random sample of 250 firms that revalued their fixed assets, the mean ratio of debt to tangible assets was 0.624, and the sample standard deviation was 0.172. For an independent random sample of 450 firms that did not revalue their fixed assets, the mean ratio of debt to tangible assets was 0.594, and the sample standard deviation was 0.164. Assuming that the population distributions are normal with equal variances, find a 99% confidence interval for the difference between the two population means. Click the icon to view a table of upper critical values of Student's t distribution. A 99% confidence interval for the difference between the two population means is (.). (Round to four decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose that for a random sample of 250 firms that revalued their fixed assets, the mean ratio of debt to tangible
assets was 0.624, and the sample standard deviation was 0.172. For an independent random sample of 450 firms
that did not revalue their fixed assets, the mean ratio of debt to tangible assets was 0.594, and the sample standard
deviation was 0.164. Assuming that the population distributions are normal with equal variances, find a 99%
confidence interval for the difference between the two population means.
Click the icon to view a table of upper critical values of Student's t distribution.
A 99% confidence interval for the difference between the two population means is (.). (Round to four decimal
places as needed.)
Transcribed Image Text:Suppose that for a random sample of 250 firms that revalued their fixed assets, the mean ratio of debt to tangible assets was 0.624, and the sample standard deviation was 0.172. For an independent random sample of 450 firms that did not revalue their fixed assets, the mean ratio of debt to tangible assets was 0.594, and the sample standard deviation was 0.164. Assuming that the population distributions are normal with equal variances, find a 99% confidence interval for the difference between the two population means. Click the icon to view a table of upper critical values of Student's t distribution. A 99% confidence interval for the difference between the two population means is (.). (Round to four decimal places as needed.)
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