A set of researchers believed that the normal body temperature of children is actually more than 98.6 degrees. They measured the temperature in 14 randomly selected healthy adolescents and found a sample mean of 98.9 with a standard deviation of 0.7 degrees with the temperatures being normally distributed.
a. Write the null and alternate hypothesis.
b. Calculate the test statistic and write a conclusion for this question.
c. Now suppose a sample of 125 adolescents was taken and the same mean (98.9) and standard deviation (.7) was achieved. Repeat the test.
d. Explain what caused the difference between the outcomes for parts b and c.