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 39 subscribers to Plan A is $55,575 with a standard deviation of $8,970. For a sample of 29 subscribers to Plan B, the mean income is $59,475 with a standard deviation of $6,942. At the .025 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? Hint: For the calculations, assume the Plan A as the first sample.
The test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
The decision is
the null hypothesis that the mean of Plan B is larger.
The p-value is
(Round your answer to 2 decimal places.)