Calculating p values and degree of freedom

Calculating p values and degree of freedom

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Introduction

We calculating P value of populations with different variances

n1=62

n2=62

F-Calculated =2(current)/2(proposed)

Mean (current) = (76+76+77+…………. +66+70+74+72)/62=4579/62

=75.06557377

Mean (proposed) = (74+75+77+…………. +74+72+78+71)/62=4601/62

=75.42622951

Variance=1/n∑ x2-n (x‾)

1/62{(76*76+76*76+77*77+…………. +66*66+70*70+74*74+72*72)-62(75.06557377)

=15.56229508

Variance (proposed) =1/62{74*74+75*75+77*77+………+74*74+72*72+78*78+71*71)-62(75.42622951)

=6.281967213

F-calculated= 15.56229508/6.281967213

=2.477296

Degree of freedom

(N1-1, n2-1)= (61, 61)

CRITICAL F-VALUE (61, 61) at α=0.05

=1.52883315

Since F-calculated=2.477 is greater than F (61, 61) reject the null hypothesis.

Conclusion

There is sufficient evidence at α=0.05 level to conclude that the average change driven by current state of the machinery differs from average speed driven by proposed machinery.

References

Hedgecock, D., Chow, V., & Waples, R. S. (2012). Effective population numbers of shellfish broodstocks estimated from temporal variance in allelic frequencies. Aquaculture108(3-4), 215-232.