Question

Assume that IQ scores are normally distributed, with a standard deviation of 10 points and a mean of 100 points. If 145 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points? (Round your answer to four decimal places.)

Name: assume that iq scores are normally distributed with a standard deviation of 10 points and a mean of 100 points if 145 people are chosen at random what is the probability that the sample mean 66543
Uploaded: 2023-01-11T18:07:23-08:00
Duration: 1 min 55 s
Channel: Qudsiya Anis
Description: assume that iq scores are normally distributed with a standard deviation of 10 points and a mean of 100 points if 145 people are chosen at random what is the probability that the sample mean 66543

          Assume that IQ scores are normally distributed, with a standard
deviation of 10 points and a mean of 100 points. If 145 people are
chosen at random, what is the probability that the sample mean of
IQ scores will not differ from the population mean by more than 2
points? (Round your answer to four decimal places.)

Added by Amanda J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Qudsiya Anis

01/11/2023

Step 1

Given: Population mean (μ) = 100 Standard deviation (σ) = 10 Sample size (n) = 145 Calculate the z-values: \( z_1 = \frac{102 - 100}{\frac{10}{\sqrt{145}}} = \frac{2}{\frac{10}{\sqrt{145}}} = \frac{2}{2.4} = 0.8333 \) \( z_2 = \frac{98 - Show more…

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Assume that IQ scores are normally distributed, with a standard deviation of 10 points and a mean of 100 points. If 145 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points? (Round your answer to four decimal places.)