1.) an obstetrician wants to determine whether a new diet significantly increase the birth weight of
babies. in 2005, birth weights of full-term babies (gestation period of 37-41 weeks) were normally
distributed, with a mean of 7.53 pounds, according to the national vital statistics report. the
obstetrician randomly selects 51 recently pregnant mothers and persuades them to partake of this new
diet. the obstetrician then records the birth weights of the babies and obtains a sample mean i = 7.79
pounds and a sample standard deviation of s = 1.15 pounds. test the hypothesis that the new diet is
effective, that is, that it results in higher average birth weights. use a = .05.
a.) state the null and alternate hypotheses.
b.) state and sketch the distribution you are using, marking off the critical region(s)-label well.
c.) compute the test statistic. show enough work so that you work can be followed. double-check
using stat capability of your calculator.
d.) state the decision.
e.) state the conclusion.
f.) either compute the p-value or get an interval estimate for it.