SOLUTION: A random sample of 20 acres gave a mean yield of sugarcane equal to 41.2 tons per acre with a
standard deviation of 3 tons. Assuming that the yield of sugarcane per acre is normal
Algebra ->
Probability-and-statistics
-> SOLUTION: A random sample of 20 acres gave a mean yield of sugarcane equal to 41.2 tons per acre with a
standard deviation of 3 tons. Assuming that the yield of sugarcane per acre is normal
Log On
Question 1167758: A random sample of 20 acres gave a mean yield of sugarcane equal to 41.2 tons per acre with a
standard deviation of 3 tons. Assuming that the yield of sugarcane per acre is normally
distributed,
a. Construct a 90% confidence interval for the population mean.
b. What is the margin of error for this estimate in part a?
You can put this solution on YOUR website! 90% CI half-interval for a sample of 20 is t(0.95, df=19)* s/sqrt(n)
=1.729*3/sqrt(20)=1.16 tons/acre. This is the margin of error.
the 90% CI is (40.04, 42.36) units tons/acre