4. A manufacturer of beauty products sells three types of shampoos for dry, normal and oily hair. Sales in millions of pesos for the first five months are given in the following table: Data SALES (P millions) MONTH DRY (X1) NORMAL (X2) OILY HAIR (X3) January (b1) 7 9. 12 February (b2) 11 12 14 March (b3) 13 11 8 April (b4) 8 9. 7 May (b5) 9. 10 13 Using the 0.05 level of significance, apply two-way ANOVA procedure to test whether: a. the mean sales for dry, normal and oily hair are the same and b. the mean sales for each of the five months are the same. State the null and alternative hypotheses.

MATLAB: An Introduction with Applications
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4. A manufacturer of beauty products sells three types of shampoos for dry, normal and oily hair. Sales in millions of pesos for the first five months are given in the following table:
Data
SALES (P millions)
MONTH
DRY (X1)
NORMAL (X2)
OILY HAIR (X3)
January (b1)
7
9.
12
February (b2)
11
12
14
March (b3)
13
11
8
April (b4)
8
9.
May (b5)
9.
10
13
Using the 0.05 level of significance, apply two-way ANOVA procedure to test whether:
a. the mean sales for dry, normal and oily hair are the same and
b. the mean sales for each of the five months are the same.
State the null and alternative hypotheses.
Transcribed Image Text:4. A manufacturer of beauty products sells three types of shampoos for dry, normal and oily hair. Sales in millions of pesos for the first five months are given in the following table: Data SALES (P millions) MONTH DRY (X1) NORMAL (X2) OILY HAIR (X3) January (b1) 7 9. 12 February (b2) 11 12 14 March (b3) 13 11 8 April (b4) 8 9. May (b5) 9. 10 13 Using the 0.05 level of significance, apply two-way ANOVA procedure to test whether: a. the mean sales for dry, normal and oily hair are the same and b. the mean sales for each of the five months are the same. State the null and alternative hypotheses.
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