Answered: A sample of 20 students take Math 203…

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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Question

A sample of 20 students take Math 203 was randomly selected to evaluate the results on the Math 203 final exam. The average for the sample was 74 with a standard deviation of 7.5. Determine the 95% confidence interval for students taking the exam. Previous studies indicate a standard deviation of 8.3. (Assume that the population standard deviation is the 8.3.) Assume the population is approximately normally distributed.

Directions

	Answer the following:
		1. Determine the type of confidence interval (z, t, or proportion).
		2. State the confidence interval. Round your answer to 1 decimal place.
		3. Based on your confidence interval for the population (true) mean, do you feel the average is too low and the exam needs to be changed? Explain your answer

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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