Consider the following scores from 6 randomly selected students who took a skills test before and after a class. Each score is on a scale from 0 to 10, with 10 being the highest score. (Assume that the scores for the population of all such students are normally distributed for both tests, so that the small sample size are not a problem.)StudentTest123456Before196335After31051088Is there sufficient evidence based on the data to calculate that the mean score after the class is larger than the mean score before the class at level alpha = 0.05?State the appropriate hypothesis, calculate an appropriate test statistic, compute the P-value or critical value, and state your conclusion. Be complete.

The objective of the question is to determine if there is sufficient evidence to conclude that the…

Answered: Consider the following scores from 6…

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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Consider the following scores from 6 randomly selected students who took a skills test before and after a class. Each score is on a scale from 0 to 10, with 10 being the highest score. (Assume that the scores for the population of all such students are normally distributed for both tests, so that the small sample size are not a problem.)

Student
Test	1	2	3	4	5	6
Before	1	9	6	3	3	5
After	3	10	5	10	8	8

Is there sufficient evidence based on the data to calculate that the mean score after the class is larger than the mean score before the class at level alpha = 0.05?

State the appropriate hypothesis, calculate an appropriate test statistic, compute the P-value or critical value, and state your conclusion. Be complete.

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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