Question

QUESTION 19 A financial to know whether the aver sample of unit trust from each of three categories (A, B and c) were selected and their annuall analyst studied the annual returns of three different categories of unit trust, she wanted age annual returns per category varied across unit category. A random returns were recorded. Unit Trust ABIC 11 7 14 9 10 15 6 8 11 12 13 16 14 10 Can the financial analyst conclude that the average annual returns from the three categories of trusts are the same? The hypothesis test at the 5% significance level. Which one of the following statement is incorrect? unit 1. Ho : μ,-142 113 vs H1 :At least two means differ. 2. The F-critical value is Foo5:2:12) 3.89 3. The rejection on region is F> 3.89 4. The SS Total 119.73 5. The SST 81.3

Answer 1

Here we have data :

A	B	C
11	7	14
9	10	15
6	8	11
12	13	16
14		10
11

Here we calculate by Excel:

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
11	5	52	10.4	9.3
7	3	31	10.33333	6.333333
14	4	52	13	8.666667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	18.38333	2	9.191667	1.0904	0.376672	4.256495
Within Groups	75.86667	9	8.42963
Total	94.25	11

Correct option "1"

H_o ; μ₁ = μ₂ = μ₃   VS H₁ ; At least two means differ.