Samples And Hypothesis Testing And Variance Example

Samples and Hypothesis Testing and Variance

Part One

Perform hypothesis testing on one variable’s data. (Choose either the intrinsic or extrinsic column.) Perform a t-test by formulating a null and an alternative statement, choosing an acceptable significance value, selecting the test statistic and determining its value from the sample data, comparing the observed value to the critical value obtained and determining whether to reject or fail to reject the null hypothesis.

We test the hypothesis that the mean value of the intrinsic satisfaction is greater than one,

The null hypothesis                 Ho: U = 0

The alternative hypothesis  Ha: U ≠ 0

We will test the test statistics at 95% level

So we find the value of T at 5%, which will be a two tail test, however we will choose a sample from our population which will contain 20 observations.

The T critical from the table is 2.08596

Samples and Hypothesis Testing and Variance

T calculated is

Z = X/Standard deviation

Z = 3.565/ 0.888094

Z calculated = 4.014216

From the above calculations the T calculated > T critical, therefore we reject the null hypothesis that the mean is equal to zero.

T test and Z test

The Z test is used to get the area under the normal distribution, the value of the area under the normal distribution is equal to one, and therefore the value obtained from the Z table can also obtain the probability of an outcome. The Z test is mostly used to test single means and the difference between two means.

The T test is used to construct a confidence interval given the degrees of freedom and the significant level of test example 95% 99% or 98%, the value is also used to test the statistical significance of a parameter once you estimate the regression, the T test is undertaken to determine the statistical significance through hypothesis testing of the autonomous value and

Samples and Hypothesis Testing and Variance

the slope or slopes of the regression line.

Part Two

Using the Business Source Premier Database and/or the API Inform Global database in the Library http://web.ebscohost.com/ehost/search?vid=1&hid=14&sid=1c21509c-0a63-

42c3-a5f9-8714143a9960%40sessionmgr9 provide research on Job Satisfaction and write up a short 1 page report on the topic. The article you choose should include the terms Job Satisfaction AND ANOVA, or Job Satisfaction AND One-Way ANOVA. Cite all sources used.

Job satisfaction and ANOVA

ANOVA is the analysis of variance, it involves the testing of joint hypothesis, and the ANOVA table for a multiple regression model is demonstrated in the table below

Source of variation

Sum of squires

Degrees of freedom

Samples and Hypothesis Testing and Variance

Mean  sum of squares

Due to regression

(ESS)

B1∑y1x1 +B2 ∑y1x2

2

(B1∑y1x1 +B2  ∑y1x2)/ 2

Due to Residue

(RSS)

n-3

Samples and Hypothesis Testing and Variance

Total variation

(TSS)

n-1

/ n-1

According to a the academic journal by Munerver Olcum named job satisfaction, job satisfaction is important in an organisation, this study involved 132 academic participants, according to this study there was a high correlation between job satisfaction and commitment and occupation.

The T test for various measures and the ANOVA was undertaken to test for any meaningful differences between job satisfaction and commitment and how this relates to age, gender, marital status experience and job title.

Samples and Hypothesis Testing and Variance

According to the test on gender and marital status it was found out that there was no difference in job satisfaction according to gender and marital status, however the study showed that there was a significant difference in job satisfaction in reference to age, the study showed that academics aged 41 and above had higher job commitments and satisfaction than the academics aged between 20 and 30, further there was also a significant difference in job satisfaction in reference to experience and job title, whereby people with experience have higher job satisfaction than the inexperienced.

References

Data base available at http://web.ebscohost.com/ehost/search?vid=1&hid=14&sid=1 c21509c-0a63-42c3-a5f9-8714143a9960%40sessionmgr9

Data base available at

https://mycampus.aiu-online.com/courses/QMB350/Assignment_Assets/DataSetandDataSetK ey_0701B.xls

Munevver Olcum Cetin (2006) the Relationship between Job Satisfaction, Occupational and Organizational Commitment of Academics, Marmara University, Istanbul, available at http://we b.ebscohost.com/ehost/search?vid=1&hid=14&sid=1c21509c-0a63-42c3-a5f9-87141 43a9960%40sessionmgr9

Bluman A. G. (2007) Elementary statistics, (4th edition) McGraw-Hill Companies, New York