Question

(1 point) You have information to suggest that a certain continuous variable of a population has a mean of ?=10.33 μ = 10.33 and a standard deviation of ?=6.63 σ = 6.63 . You are to randomly pick ?=73 n = 73 individuals from this population and observe the value of the population variable on each . This value is to measured as ?? X i . After the random sample of ?=73 n = 73 has been taken, you are asked to consider the behavior of the statistic ?⎯⎯⎯⎯⎯ X ¯ . (a) Complete the statement below. Use at least two decimals in each numeric answer. The distribution of ?⎯⎯⎯⎯⎯ X ¯ with a mean ??⎯⎯⎯⎯⎯= μ X ¯ = equation editorEquation Editor and a standard deviation ??⎯⎯⎯⎯⎯= σ X ¯ = equation editorEquation Editor (b) Find the probability that mean of the sample of ?=73 n = 73 is between 9.63 and 10.83.

Answer 1

Answers udnica meansels 10:33 Std.devco 663 n23 loulou, of P is a) The distoibution with mean lize=10-33 6.63 lo.77 ste, devoz 73 b) P(9.63 < 10.83) 10.83-10.33 <-< 0.77 P[2.63 19.63 – 16:33 6.72 =pl-0.909<.z<0.649] EACZ<0.649) - P(Z <-0.909) = 0.7422- 0:1814 0.5608