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Exercise: SPSS

5. Hypothesis test

The MBA programme leader is interested to know if there is any significant average age difference between males and females and if there is which is the older group.

a. Suggest a null hypothesis and an alternative hypothesis for testing the mean age for male and female students.

μ0: The average ages of males and females are the same. μ1: The average ages of males and females are not the same.

b. Carry out an appropriate test to compare the mean age for the two sexes, and interpret your results.

Since the goal is to compare two means and that the data is of ratio scale, One-Way ANOVA is the appropriate test. Here we have gender as the factor and age as the dependent variable, and we choose the common 0.05 level of significance. Figure 5.1 is the resulting ANOVA table.

| | | | |

| |3.131a |2 |.209 |

| |3.433 |2 |.180 |

| |.543 |1 |.461 |

| |40 | | |

Figure 6.1 Cross table of satisfaction and sex at α=0.05

The p-value, which is 0.209, is very obviously greater than our chosen level of significance, 0.05. The null hypothesis is accordingly not rejected, i.e. the level of satisfaction is independent of the sexes.

7. Correlation and regression

The MBA programme leader has become so enthralled with the benefits of using statistical analysis as a performance indicator toolkit, then decides that further analyses on student performance, expected and anticipated salaries ought to be carried out.

a. Produce a...

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