Week 2 - Assignment: Apply the T-Test Reflect in e Portfolio Submit Feedback

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Apply the T-Test

School of Business, Northcentral University

BUS-7106 v2: Statistics II

August 29, 2021

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Apply the T-Test

Introduction

The company CEO requested research to measure the level of commitment of the 500

employees. The company employs 250 full-time employees and 250 contracted employees. The

CEO believes that the full-time employees are more committed than the contracted ones. The HR

director surveyed samples of thirty from each group.

The null hypothesis is that there is no statistical difference between each group's

commitment. The alternate hypothesis is that there is a significant difference between the

commitment of each group.

T-Test

The t-Test is a statistical test that compares the mean of two different groups (Weiers,

Ronald M., 2008). it's used to test hypotheses. In this test, the first group is the full-time

employees, and the second group is the contracted employees. The test will decide if there is a

significant difference between the two groups that will reject the null hypothesis that there is no

significant difference. The results will show a non-significant difference between the two to

reject the alternate hypothesis. The formula for the test is:

X is the mean of each group, S is the combined standard error of the means, and n is the

population of each sample. For the company t-test, SPSS and Excel will be used to perform the

test.

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SPSS Results

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Excel Results

Results Interpretation

The two systems showed similar test results; for the first group (full-time employees), the

mean was 3.67, Standard deviation of .83. While group two (contracted employees), the mean

was 3.75, with a standard deviation of .81.

T= -.39 and p= .35, which showed a significant difference, will reject the null hypothesis

that there is no difference in commitment between full-time and contracted employees.

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Conclusion

When the CEO asked the HR director to perform the survey between employees to

determine the level of commitment to the company, the best way to determine the results was by

using the t-test. Which is a statistical test that compares the means of two different groups. The

groups should be independent, normally distributed, and have a similar number of variances.

The director chose thirty employees from each group to conduct the survey, which is

within the range to perform a good t-test (between 20-30). The t result was .39, and p was .35,

which is well above the significant level of .05. The results allowed the HR manager to reject the

null hypothesis and accept the alternate hypothesis that full-time employees are more committed

to the company, as the CEO predicted.

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References

Frank, Julian, & Klar, Bernhard. (2016). Methods to test for equality of two normal distributions.

Statistical Methods and Applications, 25(4), 581–599. https://doi.org/10.1007/s10260-

016-0353-z

Weiers, Ronald M. (2008). Introduction to business statistics (6th ed.). South-Weestern cengage

learning. https://proxy1.ncu.edu/login?url=https://search-ebscohost-

com.proxy1.ncu.edu/login.aspx?

direct=true&db=edsbvb&AN=edsbvb.BV022756900&site=eds-live

Xu, Manfei, Fralick, Drew, Zheng, Julia Z., Wang, Bokai, Tu, Xin M., & Feng, Changyong.

(2017). The differences and similarities between two-sample t-test and paired t-test.

Shanghai Archives of Psychiatry, 29(3), 184. https://doi.org/10.11919/j.issn.1002-

0829.217070

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