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

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

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

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`