Imad Feneir - One way anova

Multivariate Statistical Analysis

One-way ANOVA

Imad Feneir

1. Summer jobs

Based on the data collected, can the

professor infer at the 5 % significance level that students in different

degree programs differ in their summer earnings?

B.A. B.Sc. B.B.A3.3 3.9 42.5 5.1 6.24.6 3.9 6.35.4 6.2 5.93.9 4.8 6.4

State the hypotheses: H0: μ1 = μ2 = μ3

H1: μi not all equal

P-value < 0.0493 < 0.05

There is evidence that students in different degree programs differ in their summer earnings.

0.049252

The assumptions conditions for the test conducted

- Populations are normally distributed.- Populations have equal variances.- Samples are randomly and

independently drawn.

2. BrandsDo the data collected

provide sufficient evidence to conclude that differences exist

between the three margarine brands ?

Use = 0.01

Brand 1 Brand 2 Brand 31 2 13 2 23 4 40 3 21 0 30 4 4

State the hypotheses: H0: μ1 = μ2 = μ3

H1: μi not all equal

P-value > 0.218 > 0.05

There is no sufficient evidence to conclude that differences exist between the three margarine brands.

0.21846

3. MBA jobsCan you conclude at 5

% significance level that there are

differences in the number of job offers between the three

MBA majors ?

Finance Marketing Management3 1 81 5 54 3 41 4 6

State the hypotheses: H0: μ1 = μ2 = μ3

H1: μi not all equal

P-value < 0.0377 < 0.05

There is sufficient evidence to conclude that there are differences in the number of job offers between the three MBA

majors.

0.037678