Under the assumption that Age and Work environment are statistically independent, what is the expected number of employees that are old and work Remotely?

Now, the initial table is modified as follows:

• all 11 Hybrid employees are classified as young,
• all 11 Remote employees are classified as young,
• all 14 On‑Site employees are classified as old.

Based on this modified distribution, what conclusion would you draw regarding the statistical independence between Age and Work Environment?

Employees working in different work environments may not fall into the same salary ranges, suggesting a potential relationship between these two variables.

Given the 3 described work environment and four salary ranges, and assuming a sample of 206 individuals, a contingency analysis is conducted, to assess whether Work Environment and Salary are independent, at a significance level of α = 0.05.

This ANOVA was conducted:

Focus on Question 8.

Suppose that SRPSc is recoded into five categorical levels (e.g., Very Low Productivity, Low Productivity, Moderate Productivity, High Productivity, Very High Productivity). The research objective remains unchanged: to determine whether the work environment has an impact on productivity.

Which statistical analysis would be most appropriate in this case, and what would you expect the results to indicate?

Reconsider the ANOVA conducted in Question 8.

Suppose that an additional 10 female employees are now classified as working in a different work environment: a shared workspace. For this group, the mean SRPSc value is 8.56. After incorporating these observations, the sample variance, computed for the 46 female employees’ SRPSc scores, has been recalculated and is equal to 3.56.

All other elements of the analysis remain unchanged.

Does the Work environment have a statistically significant effect on Productivity?