10. Please answer the following probability question. **Educational Content****IQ Test Sample Size Estimation**An IQ test is designed so that the mean is 100 and the standard deviation is 14 for the population of normal adults. In this scenario, you are tasked to find the sample size necessary to estimate the mean IQ score of nurses. The goal is to ensure that the sample mean is within 8 IQ points of the true mean with 90% confidence. **Parameters:**- Mean (µ): 100- Standard Deviation (σ): 14- Margin of Error: 8 IQ points- Confidence Level: 90%**Objective:**- Determine the required sample size needed to achieve the specified accuracy and confidence level.To solve this, the formula for sample size (n) in terms of the confidence interval is typically used in conjunction with statistical software or technology.**Problem Summary:**The required sample size is _______. (Round up to the nearest integer.)This exercise involves understanding concepts of statistics such as mean, standard deviation, confidence intervals, and sample size calculations. Use this activity to practice using technology to conduct statistical analyses and assess the practicality of the sample size in real-world calculations.No graphs or diagrams are included in this problem.

From the provided information,Confidence level = 90%

An IQ test is designed so that the mean is 100 and the standard deviation is 14 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of nurses such that it can be said with 90% confidence that the sample mean is within 8 IQ points of the true mean. Assume that o = 14 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 14 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of nurses such that it can be said with 90% confidence that the sample mean is within 8 IQ points of the true mean. Assume that o = 14 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.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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