A population of values has a normal distribution with μ = 151.5 and σ = 74.4. You intend to draw a random sample of size n = 12. Find the probability that a single randomly selected value is less than 136.5. P(X < 136.5) = Find the probability that a sample of size n = 12 is randomly selected with a mean less than 136.5. P(M < 136.5) = 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.
Added by Kyle H.
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5. The z-score formula is: z = (X - μ) / σ For the individual value, we have X = 136.5, μ = 151.5, and σ = 74.4. Plugging these values into the formula, we get: z = (136.5 - 151.5) / 74.4 ≈ -0.201 Now, we can use a z-table or calculator to find the probability Show more…
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A population of values has a normal distribution with μ=151.5 and σ=74.4. You intend to draw a random sample of size n=12. Find the probability that a single randomly selected value is less than 136.5. P(X < 136.5) = Find the probability that a sample of size n=12 is randomly selected with a mean less than 136.5. P(M < 136.5) = 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.
A population of values has a normal distribution with μ = 156.7 and σ = 62.8. You intend to draw a random sample of size n = 237. Find the probability that a single randomly selected value is between 158.7 and 161.6. P(158.7 < X < 161.6) = Find the probability that a sample of size n = 237 is randomly selected with a mean between 158.7 and 161.6. P(158.7 < M < 161.6) = 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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