A population of values has a normal distribution with μ = 44.6 and σ = 10.4. You intend to draw a random sample of size n = 161. Find the probability that a single randomly selected value is greater than 45.8. P(X > 45.8) = Find the probability that a sample of size n = 161 is randomly selected with a mean greater than 45.8. P(M > 45.8) = 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 Justin F.
Step 1
8 using the formula: z = (x - μ) / σ where x is the value we want to standardize, μ is the mean of the population, and σ is the standard deviation of the population. z = (45.8 - 44.6) / 10.4 = 0.1154 Now, we can use a standard normal distribution table or Show more…
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