A researcher conducted a study involving high$-$risk pregnancies. A sample of $35$ nulliparous women

delivered babies whose mean weight was $2900$ grams with a standard deviation of $600.$ The mean

and standard deviation of weights of babies born to a sample of $35$ multiparous women were $3200$

and $740,$ respectively. Test the null hypothesis that mean of the two populations are same at $5\%$ level

of significance and interpret your findings