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FINALEXAM-FALL-2018.docx

ID:____________ LAST NAME:____________________

Due on 23:55, Friday, 7 December 2018

A. Random variable X has a binomial distribution, B(36, 0,5).

Use the normal approximation,

Compute P{15 X 19} =

B. Random variable X has a normal distribution, N(50, 100).

Compute P{X < 41 or X 62.0} =

C. 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 (𝛼 = 0.05) different from 210 grams?

Test Hypothesis:

Test statistics:

Critical value(s):

Conclusion:

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

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

10 12

25 20 For x = 30 find =

30 22

40 26

45 30____

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 (:)

I

II

III

IV

13

9

23

16

19

10

15

11

8

15

18

9

Construct ANOVA table below

Source

df

SS

MS

F

Total

Group Source

Error

Conclusion:

* A:6 points, B: 6 points, C: 10 points, D: 8 points, E: 10 points,

Total 40 points.

* This FINAL due is 23:55, Friday, 7 December 2018 .

* Your grade will be posted by 11 December 2018.

Have a Good Exam & Winter Vacation!

Prof. Kang