Question 1206791: A new pesticide company took a random sample of 200 farms using their new
product. The results showed that 160 farms no longer have a problem with
caterpillars feeding on their crops, with a margin of error of ±13 farms.
If the pesticide company is working with 1,470 farms, how many farms will be
expected to no longer have a problem with caterpillars feeding on their crops?
1,176
147 to 173
1,080 to 1,272
1,457 to 14,833
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! sample size is 200.
mean is 160
margin of error is plus or minus 13.
when the sample size is 1470, .....
mean is expected to be 160 / 200 * 1470 = 1176.
margin of error is expected to be plus or minus 13/200 * 1470 = 95.55 = 96 rounded to nearest integer.
the third selection appears to be the best choice because it tells you that the number could be between 1080 and 1272.
this number includes the margin of error.
you could also have said 1176 with a margin of error of plus or minus 96, but that wasn't one of the selections.
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