Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 50% of sigma. a. The minimum sample size needed is 0To be 95% confident that s iswithinof the value of o, the sample sizeIn should be at leastTo be 99% confident that s iswithinof the value of o, the sample sizeIn should be at least1% 5%19,205 76810% 20% 30% 40% 50%192482133,218 1,336 3361281% 5% 10% 20% 30% 40% 50%85 38 22 14

In the question we need to find the minimum sample size needed at 95% confidence such that the value…

Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 50% of sigma.

Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 50% of sigma.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Question

a. The minimum sample size needed is

0
To be 95% confident that s is
within
of the value of o, the sample size
In should be at least
To be 99% confident that s is
within
of the value of o, the sample size
In should be at least
1% 5%
19,205 768
10% 20% 30% 40% 50%
192
4821
33,218 1,336 336
128
1% 5% 10% 20% 30% 40% 50%
85 38 22 14

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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