Type of study Guides 1a 1b 2a 2b 3a 3b 4a 4b Angles 400 500

Type of study Guides

1a

1b

2a

2b

3a

3b

4a

4b

Angles

400

500

400

500

400

500

400

500

proofs

1200

1500

1200

1500

1200

1500

1200

1500

triangles

400

500

400

500

400

500

400

500

Using the contingency table for the problems.

A) The total sale amounts for each entire marking period (start, end) is a population

B) µ= Mar Per (Start/End) Sales Total

                            3

C) a= 0.05

1. Do a One way ANOVA. Tell us how the results apply to the sales predictions.

Ho: µ1 = µ2= µ2

H1: µ(n) µ(m)

2. Do a two-way-ANOVA. Tell us how the results apply to sales predictions.

Ho: No interaction between time-of-the-school and study-guide-type

H1: There is interaction between time-of-school-year and study-guide-type.

If Ho is supported then

Ho: Time-of-the-year does not affect sales.

H1: Time-the-school-year does affect sales

And

Ho: Study-guide-type- does not affect sales.

H1: Study-guide type does affect sales

Type of study Guides

1a

1b

2a

2b

3a

3b

4a

4b

Angles

400

500

400

500

400

500

400

500

proofs

1200

1500

1200

1500

1200

1500

1200

1500

triangles

400

500

400

500

400

500

400

500

Solution

Conclusion:

At 5% significance level, Ho: µ1 = µ2= µ2 is rejected.

mu1 = mu2 and mu2 = mu3 are rejected

mu1 = mu3 is accepted

Samples I II III
N 8 8 8
Sum 3600 10800 3600
Mean 450 1350 450
Sum (x^2) 1640000 14760000 1640000
Variance 2857.1429 25714.285 2857.1429
Std dev 53.4522 160.3567 53.4522
Std error 18.8982 56.6947 18.8982
Anova Table
Source SS df MS F p
Treatment 4320000 2 2160000 206.18 0.0001
Error 220000 21 10476.191
Total 4540000 23
Tukey HSD Test
HSD(0.05) =128.99, HSD (0.1) 167.17
M1VM2 p<0.1 Reject hypothesis mu1 = mu2
M1VM3 Not significant
M2VM3 p<0.1 Reject hypothesis mu1 = mu2
HSD Absolute unsigned difference
Type of study Guides 1a 1b 2a 2b 3a 3b 4a 4b Angles 400 500 400 500 400 500 400 500 proofs 1200 1500 1200 1500 1200 1500 1200 1500 triangles 400 500 400 500 400
Type of study Guides 1a 1b 2a 2b 3a 3b 4a 4b Angles 400 500 400 500 400 500 400 500 proofs 1200 1500 1200 1500 1200 1500 1200 1500 triangles 400 500 400 500 400
Type of study Guides 1a 1b 2a 2b 3a 3b 4a 4b Angles 400 500 400 500 400 500 400 500 proofs 1200 1500 1200 1500 1200 1500 1200 1500 triangles 400 500 400 500 400

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