Answered: Sick Days in Bed A researcher wishes to…

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

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 31 workers at a large department store had a mean of 4.9. The standard deviation of the population is 1.1. Is there enough evidence to support the researcher's claim at =α0.01? Assume that the variable is normally distributed. Use the P-value method with tables.

State the hypotheses and identify the claim.

:H0 ▼(Choose one) claim or not claim
:H1 ▼(Choose one) claim or not claim

This hypothesis test is a ▼(Choose one) test. one tailed or two tailed test

b. critical values

c. z=

d. reject or accept

e. is there enough evidence to support the claim

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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