A survey of community banks asked about the loan to deposit ratio (LTDR) a banks total loans as a p

A survey of community banks asked about the loan to deposit ratio (LTDR) a banks total loans as a percent of its total deposits. The mean LTDR for the 110 banks in the sample is xbar = 76.7 and the standard deviation is s = 12.3. In the text a 95% confidence interval (using a z score) is given for the mean LTDR for community banks. This solution is theoretically not completely correct. What should the interval be? A – 74.6-79.2 74.38-79.02 74.3-78.9 74.28-78.88 74.2-78.8 Formula: CI95 = mean + or – 1.96(sd divided by √n) …where + or – 1.96 represents the 95% confidence interval using a z-table, sd = standard deviation, √ = square root, and n = sample size. With your data: CI95 = 76.7 + or – 1.96(12.3/√110) Finish the calculation for your interval.

 

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