Answered: You are interested in job burnout at…

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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You are interested in job burnout at your workplace. You collect data from a random sample of 50 people within your organization. The data have a mean of 29.7 (assume scores on the measure range from 10 – 100, with higher scores indicating higher levels of burnout). Using a .05 criterion/significance level, conduct a test to determine if your organization’s burnout levels are significantly less than a mean of 50 (assume a population standard deviation, σ, of 10). For this problem:
1. Write out your null and alternative hypotheses
2. Determine the critical value
3. Calculate the test statistic (use the fancy formula on slide #43 & 57, not JMP)
4. Calculate the p-value
5. Write a brief conclusion of your findings. That is, what do your results mean (see PPT slides for an example of a results section).

Michelle is interested in financial literacy. She designs an instrument that measures how well individuals are versed in personal finance. From a random sample of 100 people, she finds a mean score of 37 (scores range from 0 – 50). Conduct a hypothesis test using a .05 criterion/significance level to test if these scores are significantly greater than 25 (assume a population standard deviation, σ, of 5). For this problem:
1. Write out your null and alternative hypotheses
2. Determine the critical value
3. Calculate the test statistic
4. Calculate the p-value

1. Write a brief conclusion of your findings. That is, what do your results mean (see PPT slides for an example of a results section).

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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