Question

By​ hand, determine the​ F-test statistic for the accompanying data by answering parts​ (a) through​ (f) below.

x_1   x_2   x_3
17   10   5
2   2   9
2   9   15
9   9   13
0   5   13

​(a) Determine the mean of the entire set of data.

x overbarx equals=

​(Type an integer or a decimal. Do not​ round.)

​(b) Find the sample mean for each sample.

x overbar 1x1equals=

x overbar 2x2equals=

x overbar 3x3equals=

​(Type integers or decimals. Do not​ round.)

​(c) Find the sample variance for each sample.

s Subscript 1 Superscript 2s21equals=

s Subscript 2 Superscript 2s22equals=

s Subscript 3 Superscript 2s23equals=

​(Type integers or decimals. Do not​ round.)

​(d) Compute the sum of squares due to​ treatment, SST, and the sum of squares due to​ error, SSE.

SST =

SSE =

​(Type integers or decimals. Do not​ round.)

​(e) Compute the mean square due to​ treatment, MST, and the mean square due to​ error, MSE.

MST =

MSE =

​(Round to two decimal places as​ necessary.)

​(f) Compute the​ F-test statistic.

FO equals=

​(Round to two decimal places as​ necessary.)

                                                        Less

Answer 1

a)

x overbarx equals= 8

b)

x1equals=6

x2equals=7

x3equals=11

c)

s1² =49.5

s²² =11.5

s3² =16.0

d)

SST=70

SSE =308

e)MST=35

MSE=25.67

f)
F=1.36