Problem: Three sets of measurement are in the table below.
|
Set A
|
1.8
|
2.1
|
1.4
|
0.7
|
2.1
|
1.1
|
1.0
|
1.6
|
3.5
|
|
Set B
|
2.0
|
0.6
|
2.0
|
2.6
|
0.8
|
0.7
|
3.4
|
2.6
|
3.5
|
|
Set C
|
2.4
|
1.3
|
2.6
|
1.7
|
0.9
|
2.8
|
2.2
|
0.7
|
0.7
|
Calculate:
1. The mean and standard deviation for each set
2. The best estimate of the mean at 95% confidence level for each set
3. The range where 95% of the measured values are expected to be for each set
4. The pooled mean and standard deviation
5. The best estimate of the mean with a confidence interval at 95% level using the pooled statistics.