6)(made -up data) WORK THIS PROBLEM:

Plant 1Plant 2Plant 3Plant 4Plant 5

1.216.412.1 11.5 24

10.1-69.710.2-3.7

-2-11.6 7.43.88.2

1.5-1.3-2.1 8.39.2

-3410.1 6.6-9.3

-0.7 17 4.710.28

3.23.84.68.815.8

2.74.33.92.7 22.3

-3.210.43.65.1 3.1

-1.7 4.29.611.216.8

2.48.59.85.911.3

0.36.36.51312.3

3.595.76.816.9

-0.87.1 5.114.5

19.44.3 3.45.2

2.8 19.7-0.8 7.3

13 3-3.9 7.1

42.77.60.9 3.4

1.470.2 1.5 0.7

38.5

2.46

1.32.9

The 5 groups involved have DIFFERENT numbers of samples (n), but they are relatively close, so I used the AVERAGEnand got an F-Test close to the text value.This is NOT technically the official way to calculate F, but the official way is quite complex. )

Plant 1Plant 2Plant 3Plant 4Plant 5

n

Mean

Variance

a)Fill in this Table

b)Determine k = _____

c)Calculate N =______

d)Calculate the average n =____

e)Calculate the VARIANCE of the 5 sample means = ______* average-n = _______ = _________

f)Calculate the AVERAGEVARIANCEof the 5-groups' variances = _____________

F-Test =(e) / (f)= _________(This is by using the average n)

The Text software gets an F-Testof 1.16

Calculate the first degrees of freedom:df1 = k - 1 = ____

Calculate the second degrees of freedom:df2 =N - k = ____

Find the F-Critical from the F-Table below for these degrees of freedom (df) and = 1% : ___________

Compare your F-Test to the F-critical and do you accept or reject Ho?____________

Find the p-value (probability) for a given F-Test statistic.What is the p-value for the F-Test you calculated? ___________

Comparing these to the = 0.01 or 1%, would you draw the same Reject/Fail to reject Ho conclusion?