In order to estimate the mean debt-to-equity ratio of its loan portfolio, the bank randomly selects 12 of its commercial loan accounts. Audits of these twelve companies found the following 12 debt-to-equity ratios. 1.04 1.08 1.13 1.18 1.23 1.32 1.41 1.46 1.55 1.57 1.70 1.77 Note: the sample standard deviation of these 12 ratios is s = 0.245 Determine an appropriate 98% confidence interval for the mean ratio of the bank’s entire portfolio. �¯±�⋅�� Note: σ is unknown, and we have to reply on s. This forces us to use the t-distribution and not the standard normal. Note: Obtain the t-value from the t-distribution excel spreadsheet. We already determined �¯ in part a). When looking up the t-value, what is the appropriate degrees of freedom to use? ["", "", "", ""] What is the appropriate value to use for t? ["", "", "", ""] What is the appropriate CF? ["", "", "", ""] What is the value for n? ["", "", "", ""]

In order to estimate the mean debt-to-equity ratio of its loan portfolio, the bank randomly selects 12 of its commercial loan accounts. Audits of these twelve companies found the following 12 debt-to-equity ratios. 1.04 1.08 1.13 1.18 1.23 1.32 1.41 1.46 1.55 1.57 1.70 1.77 Note: the sample standard deviation of these 12 ratios is s = 0.245 Determine an appropriate 98% confidence interval for the mean ratio of the bank’s entire portfolio. �¯±�⋅�� Note: σ is unknown, and we have to reply on s. This forces us to use the t-distribution and not the standard normal. Note: Obtain the t-value from the t-distribution excel spreadsheet. We already determined �¯ in part a). When looking up the t-value, what is the appropriate degrees of freedom to use? ["", "", "", ""] What is the appropriate value to use for t? ["", "", "", ""] What is the appropriate CF? ["", "", "", ""] What is the value for n? ["", "", "", ""]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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In order to estimate the mean debt-to-equity ratio of its loan portfolio, the bank randomly selects 12 of its commercial loan accounts. Audits of these twelve companies found the following 12 debt-to-equity ratios. 1.04 1.08 1.13 1.18 1.23 1.32 1.41 1.46 1.55 1.57 1.70 1.77 Note: the sample standard deviation of these 12 ratios is s = 0.245 If you crunch all the numbers in the previous part, the 98% confidence interval for the mean ratio of the bank’s entire portfolio is calculated to be 1.37±0.191.37±0.19 According to the above confidence interval, can the bank conclude with 98% confidence that the mean ratio of its entire portfolio of commercial loans does NOT exceed 1.5? ["", ""] and Why? ["", "", "", ""]
Find the standard deviation of 1.2, 2.7, 5.3, 3.4, 4.1, 4.6, 3.3, 2.7, 3.3, 2.6
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