Statistics - Assessment Questions

Question:4

a)i) standard error= standard deviation/ square root of number of observations.

ii)  when the sample of 40 patients is selected, the proportion of the sample mean between 90 seconds and 150 seconds will be 0.333. as the mean is 3 minutes or 180 seconds, for p1 we divided 90 seconds with 180 seconds, and for p2 we divided 150 seconds with 180 seconds, and finally took the difference of both to know the proportion of the sample mean between 90 seconds and 150 seconds.

b) i) when the population is 1015 patients and the sample is 100 patients the standard error will be 2 seconds. Standard error= standard deviation/ square root of the number of observations.

ii) The proportion of sample means that would be greater than 200 seconds is 0.19 seconds. We simply calculated by 200 with 1050.