Question

Big babies: The National Health Statistics Reports described a study in which a sample of 325 one-year-old baby boys were weighed. Their mean weight was 24.9 pounds with standard deviation 5.3 pounds. A pediatrician daims that the mean weight of one-year-old boys is less than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the a=0.10 level of significance and the critical value method with the critical Values for the Student's t Distribution Table. Part: 0/5 Part 1 of 5 (a) State the appropriate null and alternate hypotheses. HO: This hypothesis test is a (Choose one) v test.

Answer 1

n = 325 x = 24.9 pounds, s=5.3 pound, f = 0.10 Test that the mean weight of one-year-old-boys is less than 25 pounds Ho: li-25 Hillc25 VSS test statistic t= x-l = 24.9 - 25 SND 5.3 / √325 t = -0.34 5.3/18.02776 0.293991 critical valle tcrite = tool, a = t325-1,0.10 t324,0.10 1.284 ton't = [1,284 Decision Reject Ho if t <- tento Here 0.34 > -tent = -1.284 fail to reject Ho conclusion There is insufficient evidence to support that the mean weight of one ne-year-old boys is less than 25 pounds Data do not provide convincing evidence that the pediatrician's claim is tore,