16. Sampling Distribution of the Sample Mean
Question 1
The 10 sample means for the cold water dissolving times of each set of 10 tablets in a row are
Mean
26.20
26.41
26.06
26.32
25.20
27.42
26.66
27.50
26.33
26.21
These 10 means have a standard deviation of 0.6626 seconds. The expected standard deviation is 2.49/√10 = 0.7874 seconds. From just 10 data sets the agreement is quite good.
The 10 sample means for the hot water dissolving times of each set of 10 tablets in a row are
Mean
18.49
19.20
15.88
16.49
16.79
16.98
16.27
16.67
15.84
16.64
These 10 means have a standard deviation of 1.0893 seconds. The expected standard deviation is 2.24/√10 = 0.7084 seconds. Again, from just 10 data sets the agreement is quite good.