Exercise 11-25 (LO11-2)
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 40 subscribers to Plan A is $45,000 with a standard deviation of $9,200. For a sample of 25 subscribers to Plan B, the mean income is $64,300 with a standard deviation of $7,100.
At the 0.025 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? Assume unequal population standard deviations. Hint: For the calculations, assume the Plan A as the first sample.
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
What is your decision regarding H_{0} ?
Reject H_{0}
Fail to reject H_{0}
Compute the p-value.
Less than 0.01
Between 0.01 and 0.025
Between 0.025 and 0.05
Between 0.05 and 0.10
Greater than 0.10
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