A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 38 subscribers to Plan A is $55,600 with a standard deviation of $8,300. This distribution is positively skewed; the coefficient of skewness is not larger. For a sample of 45 subscribers to Plan B, the mean income is $56,100 with a standard deviation of $8,000.

At the 0.02 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger?

a.State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.)

Reject H₀ if t > _______.

b.Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.)

Value of the test statistic_______

c.What is your decision regarding the null hypothesis ?

(Reject or Do not reject) H₀. There is (not enough or enough) evidence to conclude that the mean income of those selecting Plan B is(larger or not larger).

d.What is the p-value? (Round the final answer to 4 decimal places.)

_______.