A researcher wishes to see if the average weights of newborn male infants are more than the average weights of newborn female infants. She selects a random sample of 200 male infants and finds that the mean weight is 7 lbs. 11 oz. with a standard deviation for the sample of 6 oz. She selects a random sample of 200 female infants and finds that the mean weight is 7 lbs. 4 oz. with a standard deviation for the sample of 3 oz. Can it be concluded at α=0.01 that the mean weight of the males is more than the mean weight of the females? 

Assume that the variables are normally distributed. 

Assume that the population variances are not equal. 

Assume independent samples.