Marketing companies have collected data implying that teenage girls use more ring tones on their cellular phones than teenage boys do. in one particular study of 40 randomly chosen teenage girls and boys (20 of each) with cellular phones, the mean number of ring tones for the girls was 3.5 with a standard deviation of 1.7. the mean for the boys was 1.7 with a standard deviation of 0.9. conduct a hypothesis test at the 5% level to determine if the means are approximately the same or if the girls' mean is higher than the boys' mean.

1. state the distribution to use for the test.
2. what is the test statistic?
3. what is the p-value?
4. sketch a picture of this situation. label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
5. decision:

In return for their with optimizing his painting project, the castle servant informed poly and digit that he saw someone dressed as the king leaving behind a trail of crumbs as he walked into the jester's room late last night. poly and digit have finally found the crisp-collecting culprit — it turns out the jester's shoe size and hair color match the clues that were found! in gratitude, poly and digit agree to the servant with his current task of replacing all of the tables and chairs in the castle. his goal is to determine which furniture company should produce the new furniture. he receives information from a company that customizes elegant furniture, and he wants to analyze the company's production process in order to calculate some problems about cost and availability. read the following scenario, and assist poly and digit as they the servant with his calculations. the fit for a king furniture company requires 2020 hours of labor to produce a standard table, and a chair requires 1212 hours of labor. the labor available is 565565 hours per week. the company can produce at most 3535 chairs per week.