A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He subdivides 6 lots and uses the old fertilizer on one half of each lot and the new fertilizer on...

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Answered Same DayDec 25, 2021

Answer To: A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield....

David answered on Dec 25 2021
133 Votes
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in
Suppose µd = true difference between older and newer fer
tilizer yields
Test: µd 6= 0 with t distn
Hypothesis test:
H0 : µd = 0 (Null Hypothesis)
Ha : µd 6= 0 (Alternative Hypothesis, also called H1)
This is two tailed test.
Differences (Older - Newer):
−2, 1, −3, 0, 1, −1
We calculate sample mean and std deviation from given data.
Sample Mean, d̄ =

(d)
n
= −46 = −0.666667
Sample Variance, s2 =

(d− d̄)2
n− 1 =
13.333333
5 = 2.666667
Sample std dev, s =

s2 =

2.666667 ≈ 1.632993
d =...
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