Answer:
The null hypothesis is [tex]H_o : \mu_A - \mu_B = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_A - \mu_B > 3[/tex]
Step-by-step explanation:
From the question we are told that
The mean of method A is [tex]\mu_A = 46.31[/tex]
The standard deviation of method A is [tex]\sigma = 6.44[/tex]
The mean of method B is [tex]\mu_B = 42.79[/tex]
The standard deviation of method B is [tex]\sigma_B = 7.52[/tex]
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 [tex]H_o : \mu_A - \mu_B = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_A - \mu_B > 3[/tex]