Statistics

Problem 1:

Table 1: Frequency Distribution for 36 rolls of dice

Result

Frequency

12

1

11

1

10

3

9

4

8

5

7

8

6

6

5

3

4

2

3

2

2

1

Total

36

a) Find the mean response

b) Find the variance of response

c) Find the standard deviation s

d) Find Standard Error SE

e) Calculate confidency interval CI for 95% confidency level

f) Prepare values for normal plot (response, Cumulative Probability)

g) Draw normal Plot and check for normality

Problem 2:

Table 1: Time for accomplishing 3 tasks by 3 people in seconds

Block

P1

P2

P3

Task 1

10

12

16

Task 2

25

24

26

Task 3

49

45

42

a) Calculate F

b) Find F critical from the table (Appendix 1-3)

c) Calculate LSD @ 95% confidency level

d) Draw the effect plot of the means

e) Is there significance among the people?

Problem 3:

Table 1: Test factors for making microwave food

Factor

Name

Unit

Low Level (-)

High Level (+)

A

Time

Minutes

2

4

B

Power

%

75

100

Table 2: The result from the microwave food (Taste test - Y)

Standard Order

A

B

Y

1

-

-

74

2

+

-

76

3

-

+

80

4

+

+

40

a) Calculate all the main and interaction effects

b) Draw pareto chart of the effects (effect vs factors)

c) Complete the ½ normal probability table

d) Plot the interaction of time (A) vs power (B)

e) Plot the interaction of Power (B) vs time (A)

f) Provide completed ANOVA table

g) Calculate predicted taste score for standard order #1