An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 7 IQ points of the true mean Assume that g= 12 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.)
An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 7 IQ points of the true mean Assume that g= 12 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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![**Educational Content: Determining Sample Size for an IQ Test**
An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. To estimate the mean IQ score of statistics students with 90% confidence, the sample mean should be within 7 IQ points of the true mean. Assume that the standard deviation (σ) is 12. Use technology to determine the required sample size. Then, assess if this is a reasonable sample size for a real-world calculation.
**The required sample size is: [Input Box] (Round up to the nearest integer.)**
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This text offers a statistical problem centered on calculating the appropriate sample size for a study involving IQ scores. No graphs or diagrams are present in this content.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F626680b8-87a8-442c-b0ab-f04aa1b187bb%2F49a7bbd3-47f4-4bfb-9678-4742a67c170f%2Fbvk957g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Determining Sample Size for an IQ Test**
An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. To estimate the mean IQ score of statistics students with 90% confidence, the sample mean should be within 7 IQ points of the true mean. Assume that the standard deviation (σ) is 12. Use technology to determine the required sample size. Then, assess if this is a reasonable sample size for a real-world calculation.
**The required sample size is: [Input Box] (Round up to the nearest integer.)**
---
This text offers a statistical problem centered on calculating the appropriate sample size for a study involving IQ scores. No graphs or diagrams are present in this content.
Expert Solution
Step 1
Given :
An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults.
Margin of error,
ME = 7
population standard deviation,
σ = 12
Significance level,
α =1- 0.9 = 0.1
Step by step
Solved in 3 steps with 1 images
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