Question

QUESTION 16 Using the information below, answer the next two questions: A study measures blood pressure among college students. The lowest actual blood pressure is 70, and the highest is 130. Each blood pressure test is equally likely. It follows a uniform distribution. [Sean Hint: The data distribution has mean 100 and standard deviation 17.32). A sample of 100 students' blood pressure is taken. (a) What is the probability that the mean of blood pressure is less than 97. [HintFirst use the mean and std. deviation given in hint to compute the distribution of sampling distribution of the sample mean. (Round to 4 decimal places) 4 poi QUESTION 17 (b) Find the 90 percentile for the mean of 100 blood pressure. (Round to 2 decimal places)

Answer 1

Ans:

a)

sampling distribution of sample means will follow normal distribution with:

mean=100

standard deviation=17.32/sqrt(100)=1.732

z=(97-100)/1.732

z=-1.732

P(z<-1.732)=0.0416

b)

90^th percentile is:

P₉₀=100+1.282*1.732=102.22