10) In a t-distribution with 10 degrees of freedom: a) What percentage of the area lies to the left of 2.764? b) What percentage of the area lies to the right of 2.764? c) What percentage of the area lies between 0 and 2.764? 11) Describe what we mean by the "power" of a hypothesis test. 12) A t-test might be "paired" or "unpaired". Explain! 13) Among a human population infected with a tick-borne disease the distribution of white blood cell count has an unknown mean and standard deviation. In the general population the mean white blood cell count is 7250 per mm^3). It is believed that humans infected with the disease must have lower average white blood cell count. a) What is the null and alternative hypothesis for a one-sided test? b) For a sample with 15 infected subjects, the mean white blood cell count was X=4767/mm^3, and the standard deviation was s = 3204/mm^3. Conduct the test at the = 0.05 level. c) What is your P-value? What is your conclusion?