Analyzing the Relationship Between Tenure and Workplace Performance- A Case Study Using CV Data

Analyzing the Relationship Between Tenure and Workplace Performance- A Case Study Using CV Data

To determine whether there is a significant linear correlation between age and salary at XYZ Company, we have the calculated value of the linear correlation coefficient (r) as 0.518. For a significance level of α = 0.05, the critical value of r can be found in the provided CV of the r spreadsheet. We look for the critical value that corresponds to r = 0.518, which also has a sample size (n) of 28. The critical value of r for α = 0.05 and n = 28 is approximately 0.361. Next, we need to find the p-value corresponding to the calculated value of r. The p-value represents the probability of observing a correlation coefficient as extreme as the calculated value under the assumption of no correlation (null hypothesis).

To test the hypothesis that there is no linear correlation between age and salary, we set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): No linear correlation exists between age and salary (r = 0).

Alternative Hypothesis (Ha): A linear correlation exists between age and salary (r ≠ 0).

Since the sample size is relatively small (n = 28), we will use a t-distribution to find the p-value. The formula for the t-statistic in this case is:

t = r * sqrt((n – 2) / (1 – r^2))

t = 0.518 * sqrt((28 – 2) / (1 – 0.518^2))

t ≈ 5.286

Using the t-table for a two-tailed test, we find that the p-value corresponding to t ≈ 5.286 is significantly less than 0.001 (p < 0.001). Since the p-value is less than the significance level, α = 0.05, we reject the null hypothesis. Therefore, we can conclude that there is sufficient evidence to support the claim of a linear correlation between age and salary at XYZ Company. The positive value of r = 0.518 suggests a moderate positive linear relationship between age and salary. Therefore, as the employees’ age increases, their salary tends to increase as well.

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Click the ‘scenario’ button below to review the topic and then answer the following question:

Description: A downloadable spreadsheet named CV of r was provided in the assessment instructions for you to use for this question. In some workplaces, the longer someone has been working within an organization, the better the pay is. Although seniority provides a way to reward long-serving employees, critics argue that it hinders recruitment. Jane, the CPO, wants to know if XYZ has a seniority pay system.

Question: Based on the salary and age data in the spreadsheet, find the value of the linear correlation coefficient r, the p-value and the critical value of r using alpha = 0.05. Determine whether there is sufficient evidence to support the claim of a linear correlation between age and salary.

Scenario: Inferential Stats
The recent pandemic greatly affected the working environment. According to a survey, post-pandemic employees are more than ever demanding changes to policies and benefits in the workplace.

Your organization, XYZ Company, notes several hurdles to attracting and retaining staff in the post-pandemic climate. One example is the employer’s inability to adjust to the remote work arrangement, and another is a lack of pay equity commitment.

In keeping with XYZ Company’s goal to treat employees well, management is looking for feedback to measure the company’s performance as the employer of choice.

You work as the Manager of Workforce Analytics within the Human Resources department. The company is growing rapidly, and your boss, Jane, who is the Chief People Officer (CPO), wants to make sure that the company is treating its employees equitably. She is analysis-driven, so she taps you to work on several projects to uncover any potential issues. Her objectives are to: