Question

a horticulturist at Telengana State Agricultural University, knows that a certain
strain of corn will always produce between 80 and 140 bushels per acre. For a confidence interval of 90
percent, how many 1 acre samples must be taken in order to estimate the average production per acre to
within ±5 bushels per acre

Answer 1

11 samples should be taken into consideration to estimate average production.

Confidence interval = 90% (Given)

Bushel per acre =  Rs. 5 (Given)

Cost = Rs. 80-140 (Given)

Strain of corn = 6σ = 140 - 80

= 6σ = 60

= 10

Therefore,

5 = 1.64 σ/√n

= 1.64 × 10 / √n

n = (1.64 × 10/5 )²

n = ( 16.4/5)²

n = 268.96/25

n = 10.75 or 11

Thus, 11 samples should be taken into consideration.