1. Complete the problems circled in the packet I've given you.
2. You've been given a data set with three data sets we've used before--the amount people spend in a restauraunt based upon the different smells that are used in there. We want to see whether or not lemon or lavendar make s a difference in the amount people spend (if you recall, last time we said that it did).
a. we're going to use the 'no odor' data to get our data for our population--find the mean and standard deviation for no odor.
b. create a null and alternate hypothesis for lemon odor. test these at 'alpha'=0.05
c. create a null and alternate hypothesis for lavender odor. test these at 'alpha'=0.05
d. Comment on what would have happened if we had tested instead at either 'alpha'=0.01 or 'alpha'=0.10.
3. Find a random number generator that will generate numbers from 0 to 100. If it truly generates random numbers, it will have a mean of 50 and a standard deviation of 28.87. We want to try and prove that the random number generator you have selected is faulty. You can find one online if you want (search for it) or create one in r (if you need help with the code, let me know).
a. State a null and alternative hypothesis.
b. Find a sample of 20 random numbers from the generator. Run tests of significance to see if we can find evidence against the null hypothesis.
c. Find a sample of 100 random numbers and repeat the tests.
d. Are there any differences between part b and part c? Explain.