Chapter 4.5, Problem 186E

a.

To determine

Explain whether computing the difference in the sample means for randomly selected 30 female and 20 male samples is appropriate to generate randomization samples that are consistent with $H_0:{\mu }_F={\mu }_M$ vs $H_a:{\mu }_F\ne {\mu }_M$.

b.

To determine

Explain whether computing the difference in the sample means for the sample that is obtained by adding 1.2 to the female group and subtracting 1.8 from the male group is appropriate to generate randomization samples that are consistent with $H_0:{\mu }_F={\mu }_M$ vs $H_a:{\mu }_F\ne {\mu }_M$.

c.

To determine

Explain whether computing the difference in the sample means by combining 50 sample and selecting 30 female and 20 male with replacement is appropriate to generate randomization samples that are consistent with $H_0:{\mu }_F={\mu }_M$ vs $H_a:{\mu }_F\ne {\mu }_M$.