Answered: Another type of painted ceramic vessel…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations.

Site I	Site II	Site III	Site IV
15	13	38	15
22	2	20	21
4	31	15	13
15	7	44	34
17	23		12
	11		12

Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance.

(a) What is the level of significance?

(b) Find SS_TOT, SS_BET, and SS_W and check that SS_TOT = SS_BET + SS_W. (Use 3 decimal places.)

SS_TOT	=
SS_BET	=
SS_W	=

Find d.f._BET, d.f._W, MS_BET, and MS_W. (Use 3 decimal places for MS_BET, and MS_W.)

df_BET	=
df_W	=
MS_BET	=
MS_W	=

Find the value of the sample F statistic. (Use 3 decimal places.)

What are the degrees of freedom?
?(numerator)
?(denominator)

(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)

(f) Make a summary table for your ANOVA test.

Source of Variation	Sum of Squares	Degrees of Freedom	MS	F Ratio	P Value	Test Decision
Between groups	?	?	?	?	?	Do not reject H0.
Within groups	?	?	?
Total	?	?

Expert Solution

Step 1

I am using Excel and the command is as follows

Data > Data Analysis > Anova : single factor > select the data > ok

==================================================

Anova: Single Factor

SUMMARY
Groups	Count	Sum	Average	Variance
Site I	5	73	14.6	43.3
Site II	6	87	14.5	114.3
Site III	4	117	29.25	194.25
Site IV	6	107	17.83333	74.16667

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