Question 1:
If a random number generator truly is random,if it sampling from 0 to 100, it should tend towards having a mean of 50 and a population sd of 28.87.
Use r and create a list of 50 random numbers.
Use those numbers to determine whether or not you think the generator is truly random or not. Be sure to explain each step as you do it. (run a hypothesis test)
Question 2:
The grades on my quizzes over the course of my teaching career have been roughly normal with N(83, 9)
Explain what N(83, 9) means.
What is the z-score for a person who scores a 91?
What percent of people score a 95 or higher?
What percent of people fail my quizzes?
What percent of people score a B?
Question 3:
I will hand you a sheet outlining "Auto Safety". Do all four parts below it.
for the recommendation for your boss, create a one sheet of the relevant information, in a way that allows him to easily see what you think about the data as well as a solid write up about it.
Question 4:
Athletes performing in bright sunlight often smear black eye grease under their eyes to reduce glare. Does the eye grease work? In one study, 16 students too a test of sensitivity to contrast after 3 hours facing into bright sun: once with eye grease and once without. Here are the differences in sensitivity, with eye grease minus without eye grease:
0.07 0.64 -0.12 -0.05 -0.18 0.14 -0.16 0.03 0.05 0.02 0.43 0.24 -0.11 0.28 0.05 0.29
Run a hypothesis test to see whether or not we think the eye grease helps minimize sensitivity.
Question 5:
Answer the questions about the long jump, found on the back of the auto safety sheet.
Make sure to use the regression plot when working on your model.
Question 6:
p. 289: Question 8
Question 7:
the .csv below is a list of the movies made by M. Night Shyamalan.
Create a plot of the movies comparing year and IMDB rating (from 0 to 10):
find a line of best fit
determine if a linear equation is appropriate (use correlation AND residual plot)
make a fantastic plot with all the goodies
which point has the largest residual?
If M. Night were to make a movie today, what do we expect the IMBD score to be?
Currently the worst movie on IMDB (http://www.imdb.com/chart/bottom) is Disaster Movie from 2008. It scored a 1.9. When do we expect M. Night to make a movie that bad?
In what year would N. Night have made a perfect movie? (score 10). Is this a reasonable answer?
Question 8:
I'll give you a sheet with the data dealing with salaries.
make a graph of year on the x and salaries on the y.
find a line of best fit
determine if a linear equation is appropriate (use correlation AND residual plot)
in detail explain what the residual plot tells us that correlation probably would not.
Explain what would happen if we tried to extrapolate beyond year 20. What problem would our values have?