Managerial Statistics2

A. Random variable X has a binomial distribution, B(64, 0,5). Use the normal approximation, Compute P{26 <= X < 34}. "<=" means less than or equal. Ans. ____________

B. Random variable X has a normal distribution, N(50, 100). Compute P{X < 45 or X >= 65}. ">=" means greater than or equal. Ans. _________

C. Test the claim that the population of Freshman college students has a mean grade point average greater than 2.00. Sample statistics, include size = 24, mean = 2.35 and standard deviation = 0.70. Use a type I error = 0.01. Test hypotheses, including the test statistic, critical value(s), and conclusion.

D Find a linear (regression) equation with following data.

x y 30 12 40 20 50 24 60 38 70 40

Ans.: y = ( ) + ( ) * x

E. 4 groups, A, B, C, & D, were randomly selected from a normally distributed population. Test to find these 4 groups' means are all same (Ho:)

I II III IV 23 9 13 16 25 10 9 11 18 5 8 9

Construct ANOVA table below

Source df SS MS F Total

Group Source Error