Question

The population of IQ scores forms a normal distribution with a mean of μ= 100 and a standard deviation of σ= 15. What is the probability of obtaining a sample mean greater than M = 95, a. for a random sample of n = 9 people? b. for a random sample of n = 25 people?

Name: the population of iq scores forms a normal distribution with a mean of 100 and a standard deviation of 15 what is the probability of obtaining a sample mean greater than m 95 a for a random 87709
Uploaded: 2021-12-17T04:33:37-08:00
Duration: 3 min 16 s
Channel: Ajiboye Tunde
Description: the population of iq scores forms a normal distribution with a mean of 100 and a standard deviation of 15 what is the probability of obtaining a sample mean greater than m 95 a for a random 87709

          The population of IQ scores forms a normal distribution with a mean of μ= 100 and a standard deviation of σ= 15. What is the probability of obtaining a sample mean greater than M = 95,
a. for a random sample of n = 9 people?
b. for a random sample of n = 25 people?

Added by Elizabeth W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ajiboye Tunde

12/17/2021

Step 1

For a random sample of n = 9 people: We need to calculate the z-score for the sample mean: z = (M - μ) / (σ / sqrt(n)) z = (95 - 100) / (15 / sqrt(9)) z = -1 Using a standard normal distribution table or calculator, we can find the probability of obtaining a Show more…

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The population of IQ scores forms a normal distribution with a mean of μ= 100 and a standard deviation of σ= 15. What is the probability of obtaining a sample mean greater than M = 95, a. for a random sample of n = 9 people? b. for a random sample of n = 25 people?