Question

Type the correct answer in each box. Use numerals instead of words. The data shows the number of years that a random sample of 20 employees worked for an insurance company before retirement. Employee Number Years Worked 1 8 2 13 3 15 4 3 5 13 6 28 7 4 8 12 9 4 10 26 11 29 12 3 13 10 14 3 15 17 16 13 17 15 18 15 19 23 20 13 The sample mean for the number of years worked is , and % of the employees in the sample worked for the company for at least 10 years. Round your answers to the nearest integer. Reset Next

Answer 1

To address the question, calculations are performed to find the sample mean of the years worked by the employees and the percentage of employees who have worked 10 or more years.

Step-by-step explanation:

The student asked for the sample mean and the percentage of employees who worked for at least 10 years based on the provided data set. To calculate the sample mean, the sum of the years worked by each employee is divided by the total number of employees. After calculating this sum, we can determine the mean. To find the percentage of employees who worked for at least 10 years, we count the number of employees who meet the criterion (years worked ≥ 10) and then divide by the total number of employees, and multiply by 100 to get the percentage.

Answer 2

The sample mean for the number of years worked is:$\frac{8 + 13 + 15 + 3 + 13 + 28 + 4 + 12 + 4 + 26 + 29 + 3 + 10 + 3 + 17 + 13 + 15 + 15 + 23 + 13}{20} = \frac{250}{20} = 12.5$Therefore, the sample mean is 12.To determine the percentage of employees in the sample who worked for the company for at least 10 years, we need to count how many employees worked for at least 10 years. From the data, we see that 12 employees worked for at least 10 years (employees 2, 3, 5, 6, 8, 10, 11, 13, 15, 16, 17, and 19).So, the percentage of employees in the sample who worked for the company for at least 10 years is:$\frac{12}{20} \times 100% = 60%$Therefore, 60% of the employees in the sample worked for the company for at least 10 years.

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