Question

The Mean ACT score for 43 male high school students is 21.1 with a standard deviation of 5.0. The mean ACT score for 56 female high school students was 20.9 with a standard deviation of 4.7. Test the claim that male and female students have equal test scores. Test at a level of significance of 0.01 Make sure you give an answer for each of the following: a) Claim in symbols and labeled Ho or Ha and labeled as the claim (make sure you indicate who group 1 and group 2 is) b) Other hypothesis statement and labeled Ho and Ha c) Right, Left or Two Tailed? d) p value e) Reject Ho or Fail to Reject Ho? f) Final Decision about the claim in context

Answer 1

N h = 43, x, = 21.1, si= 5.0 na =56, X= 2009 S2=4.7 0.01 Hou eli = els vis Hiiele & el group I: The ACT score for male high school students. group 2 : The ACL score for female high school Students. HO: The ACT score for male high school students is equal to the ACL score for female high school students. vis Hii The ACT score for temo male high school students. is and ACT score for female high school students is are different. Hoi eli=alls vis Hill & el Two tailed test. Test statistic Z = X X 21.1 - 209 (4.72 2. n 0.2 0.9877 0.2029 =

Page No Dato p.value = P(IZx172) = 2. P(Zool >, 0.2824) P-ualue = 0.8396 Decision Rule! D-value = 0.8396 > 20:01 Do not reject Ho... we conclude that the male anet ACT scone fox male high school students and ACT score for female high school students is equal.