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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:

Respuesta :

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]