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If you randomly split the subject group (patients) into a control group and a treatment group, where the control group gets a placebo, you are conducting an experiment.

The following options are available for a mortgage:  [Option 1] 30-year mortgage with monthly payments of $2018.60. [Option 2] 15-year mortgage with monthly payments of $3070.20.  How much will you save overall (for the term of the mortgage) by choosing Option 2 (the shorter loan) compared to Option 1? Write ONLY your answer(s) in the box below. On your own paper, show all your work and justify your answer(s). You will be submitting the paper at the end of this test. 

Based on the Richter scale, a magnitude 4.0 earthquake has 100 times as much energy as a magnitude 2.0 earthquake.

Five candidates are running in an election, and voters are to rank them in the order of preference. In how many ways can a voter rank the five candidates?  

Being interested in the average household income of a town, a researcher randomly chose 500 households in that town and found their annual income. The average was $65,000 a year. Here, “$65,000” is a parameter. 

In an economics study, researchers have discovered that children who travel to Europe during high school end up earning more money as adults. Therefore, it is valid to conclude that traveling to Europe while in school leads to higher income. 

A district has three schools and 30 school nurses. Use Hamilton’s Method to determine how many school nurses each school should get. (Hint: first, find the standard divisor.) School Students Quota Min. Q. Remainder Nurses East 4450 South 3200 North 7350 15,000 Write ONLY your answers (the right column) in the box below. On your own paper, show all your work and justify your answers. You will be submitting the paper at the end of this test. You should copy the entire table.

If you randomly divide a group of 300 flu patients into two groups, where one group gets a placebo and the other gets a new medicine, you are conducting an observational study.

A certain stock lost 70% of its value yesterday, but it jumped up 90% today. Calculate how much (what %) the stock went up or down in value during the two-day period.  Write ONLY your answer(s) in the box below. On your own paper, show all your work and justify your answer(s). You will be submitting the paper at the end of this test. 

What is log (10,000)?