Question

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (Use a table or technology.) (a) What are the mean and standard deviation of the x sampling distribution? Describe the shape of the x sampling distribution. The shape of sampling distribution is-Select- (b) What is the approximate probability that will be within 0.5 of the population mean? (Round your answer to four decimal places.) (c) What is the approximate probability that will differ from by more than 0.9? (Round your answer to four decimal places.) Need Help? Master T alk to a Tutor

Answer 1

h=64, M=40,0=5 - (a) Mix = M = 40 in Shape of x Sampling distribution is approximately hoomad. (6) P(40-05< X< 4040-5) =P(39.5 <x<40-5) =P(-0.8 <7< 0-8) = Pſzc0-3) – p [Z<-0.8) (using z table] = 0.7881 – 0.2019 = 10:5762 (c) the bobability that * will be differ from the population mean by more than 0.9. 3 P(7>2.) = 21-1(75 40.4)

= 2 (1–(7<1.44)] (using table] =221-0.9251] = 2(0.0749] =.1498