A population of values has a normal distribution with \( \mu=121 \) and \( \sigma=95.3 \). You intend to draw a random sample of size \( n=19 \). Find the probability that a single randomly selected value is less than 62. \[ P(X<62)= \] \( \square \) Find the probability that a sample of size \( n=19 \) is randomly selected with a mean less than 62. \[ P(M<62)= \] \( \square \) 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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- The population has a normal distribution with mean \( \mu = 121 \) and standard deviation \( \sigma = 95.3 \). - To find \( P(X < 62) \), we first convert the raw score 62 into a z-score using the formula: \[ z = \frac{X - \mu}{\sigma} \] Plugging in the Show more…
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