Question

Exercise 13-1 Algo

A random sample of five observations from three normally distributed populations produced the following data:

Treatments
A				B				C
	22				24				26
	30				30				23
	29				16				18
	21				20				22
	26				25				16
x−Ax−A	=	25.6		x−Bx−B	=	23.0		x−Cx−C	=	21.0
s2AsA2	=	16.3		s2BsB2	=	28.0		s2CsC2	=	16.0

a. Calculate the grand mean. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

d-1. Calculate the value of the F_{(df1, df2)} test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

Answer 1

a)

grand mean =23.2000

b)

SSTR =53.2000

MSTR=26.6000

c)

SSE=241.200

MSE=20.1000

d-1)

F=1.323