Find the confidence interval for a population mean of 615 acres at a 90% level of confidence with a sample size of 52 and standard deviation of 27 acres.
A)189 to 1190 acres
B)608.84 to 621.16 acres
C)452 to 4252 acres
D)172 to 2008 acres

Question

Quizplus · Accepted Answer

We can use the formula:

CI = x̄ ± z*(σ/√n)

where CI is the confidence interval, x̄ is the sample mean, z is the z-score corresponding to the level of confidence (1.645 for 90%), σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get:

CI = 615 ± 1.645*(27/√52)

Calculating this expression, we get:

CI = 615 ± 6.08

Therefore, the 90% confidence interval for the population mean is (615 - 6.08) to (615 + 6.08), which simplifies to 608.84 to 621.16 acres.

So, the best choice is B.

Find the Confidence Interval for a Population Mean of 615