In: Statistics and Probability
) A researcher was interested in knowing if preterm infants with late metabolic acidosis and preterm infants without the condition differ with respect to urine levels of a certain chemical. Assume that the urine levels of two groups are normally distributed with same variations. The sample sizes, mean levels, and standard deviations for the two samples taken were as follows:
(a) Conduct an appropriate test, what should the researcher conclude on the significance level α = 0.05?
(b)Without further computation, does the 95% confidence interval contain zero for the mean difference of the two groups? Why or why not?
Sample size Mean Standard deviations
With condition : 38, 8.5 ,5.6
Without condition :38, 4.8, 4.6
Difference: 38 ,3.7 ,5.2