A population of values has a normal distribution with μ=64.9and σ=76. You intend to draw a random sample of size n=160. Find the probability that a single randomly selected value is between 67.9 and 71.5.P(67.9 < X < 71.5) = Find the probability that a sample of size n=160is randomly selected with a mean between 67.9 and 71.5.P(67.9 < M < 71.5) = 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 Deborah M.
Step 1
9 and 71.5 using the formula: z = (x - μ) / σ For 67.9: z = (67.9 - 64.9) / 76 = 0.0395 For 71.5: z = (71.5 - 64.9) / 76 = 0.0868 Show more…
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