Question

A random sample of 12 students used Method A, and their increase in points averaged 46.31, with a sample standard deviation of 6.44. Another random sample of 10 students used Method B, and their increase averaged 42.79 points, with a sample standard deviation of 7.52. Use the 95% degree of confidence all througH0ut. An appropriate set of null and alternative hypothesis to determine whether Method A increases students points by more than 3 points is:

Answer 1

Answer:

The null hypothesis is   $H_o : \mu_A - \mu_B = 0$

The alternative hypothesis is  $H_a : \mu_A - \mu_B > 3$  

Step-by-step explanation:

From the question we are told that

  The mean of method A is $\mu_A = 46.31$

  The standard deviation of method A is  $\sigma = 6.44$

   The  mean of method B is  $\mu_B = 42.79$

   The standard deviation of  method B  is  $\sigma_B = 7.52$

An appropriate set of null and alternative hypothesis to determine whether Method A increases students points by more than 3 points is

The null hypothesis is   $H_o : \mu_A - \mu_B = 0$

The alternative hypothesis is  $H_a : \mu_A - \mu_B > 3$