For the seven questions below, follow the procedures we have used for the other assignments. You ARE allowed to work with other people, but make sure that you can call the work you are turning in your own. Each person should turn in their own, with graphs they've made, work they've done, etc. etc.
DO NOT use anyone outside the course for help.
Make sure all answer are clear, complete, well thought out and easy for me to read and understand. The easier it is for me to read, the easier it is for me to grade. Give all appropriate r code, necessary graphs, etc. etc. but do not give anything that is unnecessary.
Part of what I will be grading on is the question: "Is everything needed there and nothing else?"
If you have any questions, please let me know.
Question 1:
A group of radon detectors are exposed to a radiation level of 105 picocuries. Here are the readings given by the radon detectors:
91.9 97.8 111.4 122.3 105.4 95.0 103.8 99.6 96.6 119.3 104.8 101.7
Based on this sample, do we believe that the radon detectors are working accurately? Do an analysis of the experiment and the data, and turn in a concise, clear, and complete report. In this case, be sure to include a 95% confidence interval of what the radon detectors will read when exposed to 105 picoliters.
Question 2:
How long will you tolerate being put on hold? An airline has a toll-free number for reservations, and wants to know what sort of audio to play in the background while you are on hold: an advertisement for the airline, Muzak, or classical music. They wish to keep you on hold as long as possible, to increase the chances that they can eventually sell you a ticket. They selected 15 callers at random, played one of the three types of audio to each, and timed how long it took before each caller hung up (in minutes). The data can be found in the file onhold.csv. The study kept the samples small, to avoid alienating customers. Do an analysis of this experiment, and turn in a concise, clear, and complete report.
Question 3:
Do children tend to learn better when raised by natural parents than when adopted? Susan Farber performed an experiment on this question, in which she found 32 pairs of identical twins, one of whom had been adopted and raised by people other than their natural parents. She tested both children for their IQ’s; the results are given in kids.csv. Do an analysis of the experiment and the data, and turn in a concise, clear, and complete report.
Question 4:
We are curious about Facebook use on Penn State Campus. Here are some numbers collected about two different places to live on campus. Note these are different groups--a person who counts for once a day is not included in the once a week data. In addition, we were only interested in people who used facebook, not non-users.:
1) Get the margin totals and n for this table.
2) What percent of University Park users say they use facebook at least once a week?
3) What percent of people who use facebook once a day are on the Commonwealth campus?
4) Find the expected values for each of these cells.
5) Do people living in different places on campus use facebook differently? Set up a null and alternate hypothesis, a significance level, and then run the appropriate tests.
6) Create a barplot with all of the information in a useful manner. Make it colorful.
Question Five:
For each of the following, give an example and explain your choice. This may be from a set of data we have used or a more abstract idea or data set you have seen or used. Each example should be different for each piece (in other words, don't repeat).
a. A situation where you would want to use mean and standard deviation.
b. A situation where the five point summary would be a good description of the data.
c. A situation where looking at the mean and standard deviation would hide the true nature of the pattern or data.
Question Six:
I would like to design an experiment to see if different types of music affect college student's abilities to complete sudoku puzzles. I would like to test classical, rock, jazz, polka, and ambient music (for the purposes of this assignment, let's avoid discussing the differences that exists within these genres). Set up an experiment for this, creating a goal, hypothesis, cautions and procedure one sheet.
Question Seven:
A professor asked their students “How many drinks do you have per session of drinking?” Below is the information for all the students who responded some value above zero (in this case, we are not concerning ourselves with those who do not drink).
This question was asked of a large, diverse class, and thus can be considered and SRS of the campus. Based on previous experiments, we do know that people tend to exaggerate (which may or may not be relevant).
Do a complete analysis of this information. In your results, make sure to comment on the drinking behavior claimed by women, the drinking behavior claimed by men, and a comparison between those drinking habits.
Female Students:
2.5, 5, 3, 4, 7, 2, 4, 2, 9, 3.5, 6, 5, 7, 5, 5, 1, 1, 5, 5, 3.5, 7, 2.5, 1, 2.5, 3.5, 1 , 3 , 4, 3.5, 3, 5, 2.5, 2.5, 2, 8, 2, 3, 4.5, 3, 3, 1, 6, 1, 2.5, 9, 4, 1, 7, 6, 5, 10, 5, 10, 3, 3, 3, 5, 5, 4, 7, 3, 7, 6, 3, 4, 4, 3, 3, 4, 8, 3, 9, 3, 4, 3, 4, 3, 6, 8, 4, 4, 2.5, 6.5, 4, 4, 1, 6, 4, 2.5, 4, 7, 2, 6, 7, 4
Male Students:
7, 16, 6, 15, 7, 8, 6, 7.5, 4, 8, 3, 3, 4, 4.5, 8, 8, 8, 10, 7, 2, 5, 15, 5, 4.5, 7, 6, 4, 3, 9, 10.5, 4, 4, 12.5, 4, 7, 8, 6, 5, 3, 1, 7, 6, 5, 2, 15, 5, 3, 10, 2, 5, 2, 11, 5, 1, 10, 5.5, 6, 4.5, 6.5, 9, 7, 9, 3, 18, 6, 1, 8, 9, 10, 4, 4, 12, 7, 5, 10, 3, 10, 4, 8, 8, 4, 10