An IQ test is designed so that the mean is 100 and the standard deviation is 17 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 4 IQ points of the true mean. Assume that o = 17 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
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Chapter1: Starting With Matlab
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An IQ test is designed so that the mean is 100 and the standard deviation is 17 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 4 IQ points of the true mean. Assume that σ = 17 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.)

**Explanation of Diagram:**

The diagram contains an input box for entering the required sample size, with a note to "Round up to the nearest integer." Additionally, there is a horizontal separator, represented by dots, which visually divides the text from the input section.
Transcribed Image Text:**Text:** An IQ test is designed so that the mean is 100 and the standard deviation is 17 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 4 IQ points of the true mean. Assume that σ = 17 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.) **Explanation of Diagram:** The diagram contains an input box for entering the required sample size, with a note to "Round up to the nearest integer." Additionally, there is a horizontal separator, represented by dots, which visually divides the text from the input section.
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Givenstandard deviaion(σ)=17Margin of error(E)=4confidence level = 90%α=1-0.90=0.10α2=0.05zα2=z0.05=1.6449   (from z table)

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