Data Analysis of noise study - Essay Example

Finally, this scale has an absolute or fixed zero point. An employee who scores a zero in test must have answered all the questions incorrectly. The ANOVA is used whenever there are three or more groups to compare. In this case it would be an appropriate tool because there are three groups to compare; Constant Sound, Random Sound and with No Sound. (There is no difference in the mean productivity of those who have background music at constant volume, those who have background music at periodically varying volumes and those who do not have background music at all) (There is a difference in the mean productivity of those who have background music at constant volume, those who have background music at periodically varying volumes and those who do not have background music at all.) The test results are statistically significant at the 5% level; that is, at the 5% significance level, the data do provide sufficient evidence to conclude that there is a difference in the mean productivity of employees who have background music at constant volume, those who have background music at periodically varying volumes and those who do not have background music at all.

Once we have obtained the results from One-Way ANOVA, follow-up tests are required to find out which group’s mean significantly differs from the other group means. The test which we will be conducting is called Tukey HSD test. (i) Since 2.766 < 3.57, therefore there are no significant differences in the mean productivity of the group who have background music at constant volume and those who have background music at periodically varying volumes. (ii) The second part shows that 3.631 > 3.57 therefore there is a significant differences in the mean productivity of the group which have background music at constant volume and the group which who had no background music. (iii) Finally, the results of the last part reveal that as 0.864 < 3.57 therefore there are no significant differences in the