In order to check the precision of a theodolite measurement, 32 direction readings of a single line were measured. The mean (seconds’ portion only) of the readings was 25.2 , and the standard...

In order to check the precision of a theodolite measurement, 32 direction readings of a single line were measured. The mean (seconds’ portion only) of the readings was 25.2 , and the standard deviation of the mean measurement is ±0.4 . Answer the following. a) Determine the 95% confidence interval for the population mean. b) Compute the 99% confidence range for the population variance.