According to the WHO MONICA Project the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg (Kuulasmaa, Hense & Tolonen, 1998). Blood pressure is normally distributed. a) State the random variable.
b) Suppose a sample of size 15 is taken. State the shape of the distribution of the sample mean.
c) Suppose a sample of size 15 is taken. State the mean of the sample mean.
d) Suppose a sample of size 15 is taken. State the standard deviation of the sample mean.
e) Suppose a sample of size 15 is taken. Find the probability that the sample mean blood pressure is more than 135 mmHg.
f) Would it be unusual to find a sample mean of 15 people in China of more than 135 mmHg? Why or why not?
g) If you did find a sample mean for 15 people in China to be more than 135 mmHg, what might you conclude?