10.2

7.) np0 (1-po) = 42 > 10

a) test statistic = 2.31 , the decision = reject the null hypothesis 
  
b) p-value = 0.0104

11.)

a) test statistic = -.1.49 , decision= do not reject the null hypothesis 
  
b) p-value = 0.1362

 

  1. test statistic = 0.54 , decision = do not reject the null hypothesis.

  2. test statistic = 0.693 , decision = reject the null hypothesis

 

10.3

1.)

a) t0.01 = 2.602
  
b) -t0.05 = 1.729
  
c) +/- t0.025 = +/- 2.179

12.)

a) Ho: μ = 63.7
   
   H1: μ > 63.7
  
b) there is a 35% chance that women are taller today and that the average height of 20 year olds today is over 63.7 inches 
  
c) We do not reject the null hypothesis

13.)

a) Ho: μ = 22

   H1: μ > 22
  
b) sample is random. sample size is large , n=200 which is greater than or = to 30. because of this we can assume scores will be inependent 
  
c) test statistic=  2.176 , the decision= reject the null hypothesis

d) There is enough evidence to conclude that students who complete core curriculum are scoring above a 22 on the math part of the ACT. 

14.)

a) Ho: μ = 501

   H1: μ < 501

b) sample is random. sample size is large , n=100 which is greater than or = to 30. because of this we can assume scores will be inependent
  
c) State the value of the test statistic = -1.379, decision = we do not reject the null hypothesis 

d) There is enough evidence to conclude that students who learn english as well as another language at the same time score worse on the SAT.
  1. test statistic: -4.553 , the decision= reject the null hypothesis