10. an estimate is needed of the mean acreage of farms in manitoba, canada. the estimate should be correct to within 100 acres with probability 0.90. a preliminary study suggests that 500 acres is a reasonable guess for the standard deviation of farm size. how large a sample of farms is required?

The sample of farms required should be 550 large.

Step-by-step explanation:

Let the sample =K,

mean=np=100

Standard deviation==500

probability =Z=0.90

from the normal probability formula,

Z=

0.9=

500 X 0.9=K-100

450=K-100

K=450+100=550

Hence, the sample of farms required should be 550 large.

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