To solve the given problem, let's break it into parts and address each step. The data provided represents annual salaries (in thousands of dollars):

Data

$53, 51, 55, 49, 30, 30, 53, 51, 55, 31, 49, 53, 41$

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

1. Sample Mean: The formula for the sample mean is: $\bar{x} = \frac{\sum x_i}{n}$ where $n$ is the number of data points.

2. Sample Standard Deviation: The formula is: $s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}}$

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(b) Each employee gets a 6% raise.

If each salary is increased by 6%, the new salary for each employee becomes: $x_i' = x_i \times 1.06$ Calculate the new sample mean and standard deviation for the updated salaries.

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(c) Monthly Salary Calculation:

For monthly salary: [ x_i'' =