Question

The manufacturer of a cattle feed claims that, cows fed on his product yield more milk. To substaintiate his claim, 8 cows were fed on the manufacturer’* feed and their milk yield in litres. When they were under usual feed were given below:

Answer 1

Here milk yield of the same set of cows are given, use paired t-test for equality of me

H0 : Milk yield of cows before and after manufacturers feed is same.

i.e., H0: µ1 = µ2. H1 : Milk yield of cows after manufacturers feed is more. i.e., H1 : µ1 < µ2

{left tailed test} The test statistic is

Let x and y be the milk yield of cows before and after manufacturers feed.

For (n – 1) = (8 – 1) = 7 d.f.

The upper tail critical value at 5% level of significance is k = 1.90

Here tcal = -2.13 is in rejection region./ tcal < K

∴ H0 is rejected and H1 accepted.

Conclusion : Milk yield of cows after manufacturers feed has increased.