Answered: Days in Bed A researcher wishes to see…

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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Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per year is less than 5. A random sample of 27 workers at a large department store had a mean of 4.6. The standard deviation of the population is 1.1. Is there enough evidence to support the researcher's claim at α=0.05? Assume that the variable is normally distributed. Use the P-value method with tables.

Compute the test value. Always round z score values to at least two decimal places.

Find the P-value. Round the result to four decimal places.

P-value=

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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