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Guidelines for completing this assignment: . For any hypothesis tests, you must

ID: 2931015 • Letter: G

Question

Guidelines for completing this assignment: . For any hypothesis tests, you must use the critical value approach and 5-step procedure discussed in class. In order to receive credit, you must separately list each step in the hypothesis test: Step 1: State the null and alternative hypotheses Step 2: State the decision rule for rejecting the null hypothesis Step 3: Report the value of the test statistic Step 4: Evaluate the null hypothesis Step 5: State the practical conclusion to be drawn from the hypothesis test, in the context of the problem, in plain English. All requested confidence intervals must be in the correct final format (as discussed in class) and be fully interpreted in the context of the problem (i.e., in plain English) Make sure that your name and CSU ID # appears at the top of this sheet

Explanation / Answer

Answer:

SS

DF

MS

F

TREATMENT

107.39754

3

35.79918

6.50

ERROR

132.22362857

24

5.50932

TOTAL

239.62117

27

Critical value of F (3,24) at 0.05 level =3.009

Calculated F=6.50 > 3.009 the critical value.

Ho is Rejected.

We conclude that 4the four coupon designs yield the same mean doller ales.

Bonferroni Cis

Design A

B

A-B

t*SE(A-B)

Lower

Upper

1

2

-4.16

3.6071663

-7.76717

-0.552833713

3

-0.203

3.6071663

-3.81017

3.404166287

4

-3.86

3.6071663

-7.46717

-0.252833713

2

3

3.957

3.6071663

0.349834

7.564166287

4

0.3

3.6071663

-3.30717

3.907166287

3

4

-3.657

3.6071663

-7.26417

-0.049833713

Design 1 significant from Design 2 and Design 4

Design 2 significant from Design 2

Design 3 significant from Design 4


we recommend the Design 1 which yields higher mean.

SS

DF

MS

F

TREATMENT

107.39754

3

35.79918

6.50

ERROR

132.22362857

24

5.50932

TOTAL

239.62117

27