Answered: What is the null hypothesis for this…

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

Imagine that you are a researcher who is interested in whether average job satisfaction differs among people who are short, average, or tall in height.

You measure average job satisfaction, which is shown in the SPSS file as "jobsat". The variable was measured by asking people the following: All things considered, how satisfied are you with your main job? Responses ranged from 1 (completely dissatisfied) to 7 (completely satisfied).

You also have people indicate whether they consider themselves to be short, tall, or average in height. This data is shown in the "height" variable in SPSS. Values are coded as follows:

1 = short

2 = average

3 = tall

What is the null hypothesis for this research question?

Group of answer choices

There is no difference in mean job satisfaction across the three height groups.

Mean job satisfaction will differ between at least two of the height groups.

The mean job satisfaction for tall people is higher than the mean job satisfaction for short people.

The mean of one group will differ from the average job satisfaction of the population.

ANOVA
jesqof
Sum of
Squares
Mean Square
Between Groups
4.975
3.734
2.
Within Groups
130.565
1.332
86
140.515
001
Post Hoc Tests
Multiple Comparisons
Dependent Variable: jobsat
Bonferroni
95% Confidence Interval
Difference (
J) height
Std. Error
Lower Bound
Upper Boune
2.
732
023
80
744
43
1.22
BEE
732
-1.39
1.
80
2.
80 I-
-1.22
3.
393
744
1.
BEE
795
1.08
E0€"
* The mean difference is significant at the 0.05 level.
2.

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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