Determine whether normal distribution or a t-distribution should be used 6. Determine whether a normal distribution or a t-distribution should be used to construct aconfidence interval (you do not need to find the confidence intervals)a. For a sample of 20 IQ scores the mean score is 105.8. The standard deviation, o, is 15.b.In a random sample of 28 families, the average weekly food expense was $95.60 with asample standard deviation of $22.50.

The decision to use a normal distribution or a t-distribution depends on whether the population…

Answered: 6. Determine whether a normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Determine whether normal distribution or a t-distribution should be used

6. Determine whether a normal distribution or a t-distribution should be used to construct a
confidence interval (you do not need to find the confidence intervals)
a. For a sample of 20 IQ scores the mean score is 105.8. The standard deviation, o, is 15.
b.
In a random sample of 28 families, the average weekly food expense was $95.60 with a
sample standard deviation of $22.50.

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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