Marketing companies have collected data implying that teenagegirls use more ring tones on their cellular phones than teenageboys do. In one particular study of 40 randomly chosen teenagegirls and boys (20 of each) with cellular phones, the averagenumber of ring tones for the girls was 3.4 with a standarddeviation of 1.7. The average for the boys was 1.6 with a standarddeviation of 0.7. Conduct a hypothesis test at the 5% level todetermine if the averages are approximately the same or if thegirls' average is higher than the boys' average. NOTE: If you areusing a Student's t-distribution for the problem, including forpaired data, you may assume that the underlying population isnormally distributed. (In general, you must first prove thatassumption, though.)

If you could tell me how to solve this on the tI-84calculator that would be best thanks!

A) State the distribution to use for the test. (Enter youranswer in the form zort_dfwhere dfis the degrees offreedom. Round your answer to two decimal places.)

B) What is the p-value? (Round your answer to fourdecimal places.)

C) Explain what the p-value means for this problem.

D) Sketch a picture of this situation. Label and scale thehorizontal axis and shade the region(s) corresponding to thep-value. (Upload your file below.)