Answered: After students were not doing so well…

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

After students were not doing so well in her math class, Mrs. Stevens decided to try a different approach and use verbal positive reinforcement at least once every hour. Use the following results to find a 95%95% confidence interval for the true mean change in the students’ test scores after Mrs. Stevens started using positive reinforcement. Assume that the population distribution of the paired differences is approximately normally distributed. Round to one decimal place.

Students' Test Scores

Student	Without Reinforcement	With Reinforcement
1	6464	8080
2	7373	7474
3	6060	6767
4	6262	8181
5	4848	5050
6	7474	8888

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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