Question 3 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
The sampling distribution of the sample mean has mean 205 and standard error 9.2/√15 ≈ 2.375. Standardizing 200 gives z = (200 − 205)/2.375 ≈ −2.11. The probability below this z-score is about 0.0177, so the correct choice is 0.0177.
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