In: Statistics and Probability
Using the following
−1.0173 −0.3243 0.36416 0.96709 −0.7724 −0.1004 0.49382 0.98607 −0.7492 −0.0661 0.49734 1.08517 −0.6438 0.08449 0.51945 1.15909 −0.5727 0.11064 0.64080 1.23061 −0.4562 0.15022 0.66312 1.30328 −0.3986 0.25865 0.84739 1.57912
Sum 7.83952 Count 28 Sum of squares 16.1280
Determine a confidence interval for the mean of the normal distribution we sampled above, for at least one confidence level of your choice.
Mean = Sum/Count = 7.83952/28
Mean = 0.28
SD = sqrt((16.1280-7.83952^2/28)/(28-1))
SD = 0.71836
95% Confidence Interval Calculation
A 95% confidence interval for the mean of the normal distribution is (0.001,0.559).
90% Confidence Interval Calculation
A 90% confidence interval for the mean of the normal distribution is (0.049,0.511).