Question

The waiting time (in minutes) at a bus stop has exponential distribution with mean >0. The...

The waiting time (in minutes) at a bus stop has exponential distribution with mean >0. The waiting times on ten occasions were recorded as follows:

6.2, 5.8, 4.5, 6.1, 4.6, 4.8, 5.3, 5.0, 3.8, 4.0

a. Construct a 95% two-sided confidence interval for the true average waiting time.

b. Construct a 95% two-sided confidence interval for the true variance of the waiting time.

Homework Answers

Answer #1
Values ( X )
6.2 1.4161
5.8 0.6241
4.5 0.2601
6.1 1.1881
4.6 0.1681
4.8 0.0441
5.3 0.0841
5 0.0001
3.8 1.4641
4 1.0201
Total 50.1 6.269

Mean

Standard deviation

Part a)

Confidence Interval



Lower Limit =
Lower Limit = 4.413
Upper Limit =
Upper Limit = 5.607
95% Confidence interval is ( 4.413 , 5.607 )

part b)


\alpha = 0.05
n = 10




Lower Limit =
Upper Limit =
95% Confidence interval is ( 0.3296 , 2.3217 )
( 0.3296 < < 2.3217 )

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