Answered: ) State the hypothesis for this study…

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

It is argued that foreign graduates are paid higher compared to local graduates in the Malaysian hotel industry, even though they performed the same duties. A researcher conducted a study to test if this is true. He selected 80 newly hired fresh graduates. In the sample, 50 were local graduates while 30 were foreign graduates. He recorded the starting salaries (in RM ‘000) of the 80 newly appointed staff and performed an analysis using SPSS. The following are some of the output from the analysis.

a) State the hypothesis for this study and make a decision on the hypothesis with the evidence.

b) State the procedure that was be used in this analysis with the necessary assumptions in the procedure and test if the assumption is met in this data.

c) State and interpret the 95% confident interval for mean

Table 4
Graduate
Мean
Std.
Std. Error
Deviation
Mean
Local
50
3.52
0.78
0.11
Starting salary
Foreign
30
4.34
0.65
0.12
Table 5
Levene's
Test for
t-test for Equality of Means
Equality of
Variances
Sig.
df
Sig.
(2-
tailed)
95% CI for
difference
F
t
Mean
Std.
Differen
Error
Lowe Uppe
се
Differen
r
се
Equal
variances
assumed
1.44
0.148 6.58
78
.000
0.82
0.12
0.57
1.07
Equal variances
not assumed
6.49 76.5
.000
0.82
0.13
0.56
1.09
CI – Confidence Interval

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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