Question

We will work with the following (sorted) data, assumed to represent a simple random sample from a normal distribution (the data is also availble in a CSV file)

−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 The usual summaries are

Count 28

Sum of squares 16.1280

1. Confidence Intervals

Determine a confidence interval for the mean of the normal distribution we sampled above, for at least one confidence level of your choice. Of course, we don’t know the true variance.

Answer 1