5600 to 6400 5666 to 6334 5800 to 6200 5320 to 6680 5469 to
       56.00 to 64.00
        56.66 to 63.34
        58.00 to 62.00
        53.20 to 66.80
        54.69 to 65.31
| In a study of factors affecting soldiers\' decisions to reenlist, 64 subjects were measured for an index of satisfaction and the sample mean is 60 and the sample standard deviation is 16. Use the given sample data to construct the 99% confidence interval for the population mean. | 
Solution
The t score to use for a 99% confidence interval can be found in Excel using the formula: =T.INV(0.995,63). You use .995 because for a confidence of .99, alpha is .01, and half is above the interval and half below. 63 is the degrees of freedom, 64-1 = 63. Excel gives a T of 2.656145.
95% confidence interval:
Mean +/- t*sd/square root of n
60 +/- 2.656145*16/square root of 64
60 +/- 5.31
Lower limit: 60

