CS130 Practice Problems for the Final

Problem #1:

Every month your parents probably receive a mortgage statement that shows their loan balance and some specifics about the loan like the monthly payment and monthly interest rate. They are not quite sure how many months they have left before the loan is paid off. You can develop an amortization table that shows them the exact month that their loan is paid off. The ending balance might be a few cents (not exactly zero) but it should only be pennies off. Create an amortization table using the following information:

Loan Balance: 147,964.65
Monthly Payment: 1,580.17
Interest Rate: 6.5%

Do you have any way to check your results?

Problem #2:

Of the two world population datasets from http://exploringdata.cqu.edu.au/datasets.htm#wrld_pop, which one lends itself best to exponential growth. Do an exponential regression on this data and write the equation using Equation editor. Also, write the equation so that you can find out what time the world will have a certain population.

Problem #3:

Consider the following two cold medicines tested for acetaminophen. Test the claim that the mean amount of acetaminophen is the same for both medicines. What is your conclusion? Explain. In particular, state your NULL Hypothesis, perform the appropriate Hypothesis test, state your conclusion.

Brand A  472  487  506  512  489  503  511  501  495  504  494  462
Brand B  562  512  523  528  554  513  516  510  524  510  524  508 

Problem #4:

The NCAA is considering ways of speeding up the end of college basketball games. In a recent NCAA tournament, the last two minutes of 60 games took the following times to complete (in seconds):

756  587  929  871  378  503  564 1128  693  748
448  670 1023  335  540  853  852  495  666  474
443  325  514  404  820  915  793  778  627  483
861  337  292 1070  625  457  676  494  420  862
991  615  609  723  794  447  704  396  235  552
626  688  506  700  240  363  860  670  396  345
Note: Data was reported in USA Today

a) In both Excel and SPSS, find the mean, median, mode, standard deviation, minimum, and maximum values for the given data. Paste these results into a Word document.

b) Create a histogram of the given data.

c) Do these times indicate that something should be done to speed up the last two minutes of the game? Support your answer as best you can.