Statistics
posted by Jason L .
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 
74.679.2
74.3879.02
74.378.9
74.2878.88
74.278.8
Formula:
CI95 = mean + or  1.96(sd divided by √n)
...where + or  1.96 represents the 95% confidence interval using a ztable, 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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