Question

A population with a mean of 1,350 and a standard deviation of 500 is known to be highly skewed to the right. If a random sample of 81 items is selected from the population, what is the probability that the sample mean will be less than 1,450? P(?x < 1,450) = ? (Round to four decimal places as needed.)

          A population with a mean of 1,350 and a standard deviation of 500 is known to be highly skewed to the right. If a random sample of 81 items is selected from the population, what is the probability that the sample mean will be less than 1,450?
P(?x < 1,450) = ? (Round to four decimal places as needed.)

A population with a mean of 1,350 and a standard deviation of 500 is known to be highly skewed to the right. If a random sample of 81 items is selected from the population, what is the probability that the sample mean will be less than 1,450?
P(?x < 1,450) = ? (Round to four decimal places as needed.)

Added by Kevin F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

09/30/2022

Step 1

Given: Population mean (μ) = 1350 Population standard deviation (σ) = 500 Sample size (n) = 81 Sample mean (x̄) = 1450 Calculate the z-score: \[ z = \frac{x̄ - μ}{\frac{σ}{\sqrt{n}}} \] \[ z = \frac{1450 - 1350}{\frac{500}{\sqrt{81}}} \] \[ z = Show more…

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A population with a mean of 1,350 and a standard deviation of 500 is known to be highly skewed to the right. If a random sample of 81 items is selected from the population, what is the probability that the sample mean will be less than 1,450? P(̄x < 1,450) = (Round to four decimal places as needed.)