When programming from a terminal, one random variable of concern is the response time in seconds. These data are obtained for one particular installation:
1.48 1.26 1.52 1.56 1.48 1.46
1.30 1.28 1.43 1.43 1.55 1.57
1.51 1.53 1.68 1.37 1.47 1.61
1.49 1.43 1.64 1.51 1.60 1.65
1.60 1.64 1.51 1.51 1.53 1.74
A) Find the unbiased point estimator for \sigma ^{2}
B) Find a 95% confidence interval on \sigma ^{2}
C) Find a 95% cinfidence interval on \sigma
D) Would you be surprised to hear the director of this installation claim that the standard deviation in response time is more than .2 seconds? Explain.
