Norway, the distribution of birth weights for full-term infants whose gestational age is 40 weeks is approximately normal with mean = 3500 grams. We wish to determine if the birth weights of full-term babies whose mothers smoked throughout pregnancy is less than those of non-smoking mothers. A sample of 17 babies born to mothers who smoked is collected. The sample mean is 3297 grams and the sample standard deviation is 430 grams.

Test your hypothesis at the = 0.05 level and explain what the results mean.