Answered: Researchers asked two groups of people…

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

Researchers asked two groups of people to construct a jigsaw puzzle. One group of 55 people, who listened to soft classical music while working, had a mean construction time of 45 minutes. Another group of 45 people, who worked in silence, had a mean construction time of 55 minutes. Assume the population standard deviations for the construction times for people listening to classical music and people working in silence are 9.5 minutes and 11 minutes, respectively. Find the upper bound of the 99% confidence interval for the difference in population construction times between people listening to classical music as they work and people working in silence. Let the people listening to classical music be the first sample, and let the people working in silence be the second sample. Assume the samples are random and independent. Assume that both the population distributions are normally distributed. Round your answer to two decimal places. 90% confidence=1.645 95% confidence=1.96 99% confidence=2.576

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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