17
QuizMultiple Choice

Statistical Inferences — Quiz

Question 17 • Algebra II

The times it took for 35 loggerhead sea turtle eggs to hatch in a simple random sample are normally distributed, with a mean of 50 days and a standard deviation of 2 days. Assuming a 95 percent confidence level open paren 95 percent confidence level is equal to z - score of 1 point 9 6 close paren , what is the margin of error for the population mean? Remember, the margin of error, ME , can be determined using the formula ME is equal to the fraction with numerator z times s and denominator square root of n

Answer
A
0 point 1 1
B
0 point 0 6
C
0 point 6 6
D
0 point 3 4

Explanation

Use the margin-of-error formula ME = z × s / √n. Substitute z = 1.96, s = 2 days, and n = 35: ME = (1.96 × 2) / √35 ≈ 3.92 / 5.92 ≈ 0.66 days. Therefore, the margin of error is 0.66 days, choice A.

AI-written and checked against the verified answer.

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