The data shows the number of years that a random sample of 20 employees worked for an insurance company before retirement. Employee Number
YearsWorked
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’s or at least 10 years. Round your answers to the nearest integer.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above