Given information is An agronomist measured stem diameter in 8(n) plants of the Tetrastichon cultivar of soft red winter wheat. All observations were made three weeks after flowering of the plant and the mean was found to be 2.275(x-bar) mm and the standard deviation is 0.238(s)
The formula for calculating the upper and lower limits of the 95% CI for the mean is given by
Here tα/2,n-1 = t0.05/2, 8-1 = 2.365
Substitute the values we have
=(2.076, 2.474)
From the above interval we can say that 95% of the values lies in the above interval