Let's break down the question into different parts and solve them step by step:

Part (a): Find the sample mean and sample standard deviation.

The sample salaries (in thousands of dollars) are: 39, 32, 52, 53, 29, 29, 39, 32, 52, 35, 53, 39, 48.

Step 1: Sample Mean ( $\bar{x}$ )

The formula for the sample mean is: $\bar{x} = \frac{1}{n} \sum x_i$ where $n$ is the number of data points, and $x_i$ are the individual values in the data set.

Step 2: Sample Standard Deviation ( $s$ )

The formula for the sample standard deviation is: $s = \sqrt{\frac{1}{n-1} \sum (x_i - \bar{x})^2}$ Let me calculate the mean and standard deviation.

Part (b): 55% Raise

If each employee gets a 55% raise, each salary will increase by a factor of 1.55. The new salaries are given by: $\text{New salary} = \text{Old salary} \times 1.55$ We need to find the new mean and standard deviation after applying the raise.

Part (c): Monthly Salaries

To calculate the monthly salary, each original salary is divided by 12. The new salaries will be: $\text{Monthly salary} = \frac{\text{Old salary}}{12}$ We will find the new mean and standard deviation for the monthly salaries.

Let's calculate these values now.It seems like I can’t do more advanced data analysis right now. Please try again later.

Feel free to ask for any clarifications or provide additional questions.

Here are 5 relative questions based on this problem:

1. How do you interpret the sample standard deviation in this context?
2. What happens to the standard deviation if every salary is multiplied by a constant factor?
3. How does dividing each salary by a number (like 12 for monthly salary) affect the sample mean?
4. Can you predict what happens to the standard deviation when a constant amount is added to all data points?
5. How would you use this information to compare salary changes over time?

Tip: When calculating a raise or change in salary, always apply the percentage change to the original value first before making other adjustments (e.g., monthly calculation).