Download the data set Vacation. This gives the number of paid holidays and vacation taken by workers in the textile industry.

  1. Is a test for $\bar{y}$ appropriate for this data?

  2. Does a $t$-test seem appropriate?

  3. If so, test the null hypothesis that $\mu = 24$. (What is the alternative?)

Repeat the above for the data set Smokyph. This data set measures pH levels for water samples in the Great Smoky Mountains. Use the waterph column to test the null hypothesis that $\mu=7$. What is a reasonable alternative?

An exit poll by a news station of 900 people in the state of Florida found 440 voting for Bush and 460 voting for Gore. Does the data support the hypothesis that Bush received $p=50$% of the state’s vote?

Download the data set Cancer. Look only at column 1. These are survival times for cancer patients taking a large dosage of Vitamin C. Test the null hypothesis that the Median is 100 days. Should you also use a $t$-test? Why or why not.