Question

In: Statistics and Probability

The probability that a random sample of 39 state residents had a mean income less than...

The probability that a random sample of 39 state residents had a mean income less than $48,900. I got that z = -3.74 but I can't figure out the rest of the answer. P (X < 48,900) =

Solutions

Expert Solution

P (X < 48,900) = 0.0001

Explanation

Now as you have calculated z = -3.74. So we need to find P (z < -3.74)

P(z < -3.74) = 0.00009 (Obtained using z distribution table. Screenshot attached)

Thus, .P(z < -3.74) = P (X < 48,900) = 0.00009 = 0.0001 (Rounded to 4 decimal places)

orchestra answered 2 years ago
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