Aperson's blood pressure is monitored by taking 7 readings daily. The probability distribution of his reading had a mean of 131 and a standard deviation of 5.

a. Each observation behaves as a random sample. Find the mean and the standard deviation of the sampling distribution of the sample mean for the seven observations each day.

b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the samplingdistribution?

c. Refer to(b). Find the probability that the sample mean exceeds 140.

According to a recentsurvey, the population distribution of number of years of education forself-employed individuals in a certain region has a mean of 14.9 and a standard deviation of 4.5.

a. Identify the random variable X whose distribution is described here.

b. Find the mean and the standard deviation of the sampling distribution of x for a random sample of size 81. Interpret them.

c. Repeat(b) for n=324. Describe the effect of increasing n.