Applied Statistics - One Way Analysis of Variance

Q4: Determinations of yields of a process with four treatments are given:

Treatments
1	2	3	4
11	6	8	14
4	5	6	27
4	3	4	8
5	6	11	18

Test the hypothesis that no difference exist among the four treatments at alpha = 0.05?

Q3: The following are three consecutive weeks' earnings of three salemen employed by a given firm:

Salesmen
A	B	C
152	181	160
175	171	130
180	203	124

Calculate F , and assuming that the necessary assumptions can be met, test at a level of 5% significance. Whether differences between salesmen are significant.

Q2: A large field was divided into 25 plots of equal size. Four varieties of crops were given in the field. Each variety being assigned four plots at random. The output from each variety is given as below:

Varieties
A	B	C	D
60.2	60.4	80.1	63.1
65.7	62.1	66	66
61.8	63.4	81.4	61.4
64.9	60.2	84.1	64.5

Test the hypothesis that the variety gives equal level of production using 0.01 level of significance?

Q1 : A company wishes to purchase one of four different machines A , B , C and D. An experiment is designed to decide whether there is difference in performance of machines , four observations regarding the number of units produced by machines.The following table shows the number units produced.

Machines
A	B	C	D
68	72	60	48
72	52	82	61
75	63	65	57
42	55	77	64

Test the hypothesis that there is no difference between the machines at 0.01 level of significance?