Menagerial Statistic

A. Let Random Variable Y has A NORMAL DISTRIBUTION, N(64,64)

COMPUTE P(52 ≤ Y ≤ 80) =_________ Show your work. [4 pts]

B. IF P(A)=0.5,P(B)=0.3, then ________ ≤ P(A U B) ≤ ________. [3 pts each]

C. Let Random Variable Y has A BINOMIAL DISTRIBUTION, N(50,0.5).

IS P(Y > 25) = 0.5 TRUE? YES_____, NO_____.Check only ONE. [4 pts]

D. Yields of ten randomly selected samples of strawberries from a grower's field were

239, 235, 176, 217, 234, 216, 190, 181, 225, and 318. Is there any reason to believe

that the population mean yield of strawberries is significantly (𝛼𝛼 = 0.05)different from 210 grams?

Show your work [6 pts]

E. For data below,1)Fill/complete the Analysis of Regression table [5 pts]

y x . Analysis of Regression .

17 1 source : d.f. : SS : MS : F .

15 3 Total :

10 5 Regression:

7 7 Residual :

1 9

2) Find 𝐿𝐿 𝑜𝑜𝑜𝑜 𝑦𝑦 ℎ𝑎𝑎𝑎𝑎, L(𝑦𝑦􀷜) =

[3 pts]

3) R square =

[2 pts]