Is smoking during pregnancy associated with premature births? To investigate this question, researchers selected a random sample of 106 pregnant women who were smokers. The average pregnancy length for this sample of smokers was 256 days. From a large body of research, it is known that length of human pregnancy has a standard deviation of 16 days. The researchers assume that smoking does not affect the variability in pregnancy length.

Find the 90% confidence interval to estimate the length of pregnancy for women who smoke.

(Note: The criticalz-value to use,zc, is: 1.645)

Your answer should be rounded to 3 decimal places.