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 $57,000 with a standard deviation of $9,200. For a sample of 30 subscribers to Plan B, the mean income is $61,000 with a standard deviation of $7,100.

At the .05 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger?

a.What are the null and alternate hypotheses? (Choose one)

A) H₀:_ABH₁:_A<_B

B) H₀:_ABH₁:_A>_B

C) H₀:_ABH₁:_A<_B

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

c.Compute thep-value.NOTE: P-value calculators are available through online search.(Round your answer to 4 decimal places.)

d.What is your decision regarding the null hypothesis? (Choose one)

A) RejectH₀

B) Do not rejectH₀

e.At the 0.05 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? (Choose one)

A) Yes

B) No