1. A set of researchers believed that the normal body temperature of children is actually different than 96.32 degrees while sleeping. They measured the temperature in 28 randomly selected healthy adolescents and found a sample mean of 96.6 degrees with a standard deviation of 0.98 degrees with the temperatures being normally distributed. Use a t critical value of 2.05 (5 pts).
   1. What would the null and alternate hypothesis. (.5 pts)
   2. Calculate the test statistic and conclusion for this question. (2.5 pts)
   3. Now suppose a sample of 150 adolescents was taken and the same mean (96.6) and standard deviation (.98) was achieved. Repeat the test and write a new conclusion. Use a t critical value of +/- 1.98 (1 pt)
   4. What caused the difference between the conclusions for parts b and c. (1 pt)