During a study, individuals were asked to rate a product on a scale of 1–5. The

Question

During a study, individuals were asked to rate a product on a scale of 1–5. The following data were collected.

Quintasia

Paraland

Bayundera

3

1

5

4

4

1

2

2

3

5

2

2

1

3

2

5

5

5

3

5

1

1

4

4

2

An ANOVA test resulted in the following (note: Assume a significance level of 0.05):

Anova: Single Factor

SUMMARY

Groups

Count

Sum

Average

Variance

Quintasia

7

23

3.29

2.2381

Paraland

10

29

2.90

2.3222

Bayundera

8

23

2.88

2.6964

ANOVA

Source of Variation

SS

df

MS

F

P-value

F crit

Between Groups

0.80

2

0.40

0.16

0.8492

3.443

Within Groups

53.20

22

2.42

Total

54

24

What conclusion would you reach?

a) There is no difference in the means of the product ratings for the groups.

At least one group mean is statistically different from the others

c) There is no difference in the population variances among the groups

d) The variance of at least one group is statistically different from the others

Quintasia

Paraland

Bayundera

3

1

5

4

4

1

2

2

3

5

2

2

1

3

2

5

5

5

3

5

1

1

4

4

2

Explanation / Answer

Claim : to test whether the There is difference in the means of the product ratings for the groups or not.

Hypothesis : Ho : all groups has same mean

H1 : atleast one group has different mean

From the given output

Test statistics: F = 0.16

Critical value : Fc = 3.443

DECISION RULE: F<Fc we fail to reject Ho

CONCLUSION: There is sufficient evidence to conclude that there is no diffrence in the means of the product ratings for the groups

Option A is correct

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.