A population of values has a normal distribution with ? = 158.1 and ? = 27.7. You intend to draw a random sample of size n = 116. Find the probability that a single randomly selected value is between 151.7 and 151.9. P(151.7 < X < 151.9) = Find the probability that a sample of size n = 116 is randomly selected with a mean between 151.7 and 151.9. P(151.7 < M < 151.9) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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7 and 151.9. The z-score formula is: z = (X - μ) / σ For 151.7: z1 = (151.7 - 158.1) / 27.7 ≈ -0.231 For 151.9: z2 = (151.9 - 158.1) / 27.7 ≈ -0.224 Now, we can find the probability between these two z-scores using the standard normal distribution table or a Show more…
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