Question

1. Solve the problem using the employment information in the table on Alpha Corporation

Class Limits (years of service)	Frequency (Number of employees)
1 – 5 6 – 10 11 – 15 16 – 20 21 – 25 26 – 30	5 20 25 10 5 3

1. The mean of a set of data is 5.07 and its standard deviation is 3.39. Find the z-score for a value of 9.65. _______________________
2. Which is better and corresponds to the higher relative position, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score of 688 on a test with a mean of 493 and a standard deviation of 150? ____________________________________
3. On a given registration day, 45 CJ majors and 25 CIS majors arrive. What is the empirical probability that the next student to arrive will be a CJ major? ______________________________

No Hand Writing please, Type your answer.

Answer 1

The mean of a set of data is 5.07 and its standard deviation is 3.39. Find the z-score for a value of 9.65.

Which is better and corresponds to the higher relative position, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score of 688 on a test with a mean of 493 and a standard deviation of 150?

a)  Score of 92 on a test with a mean of 71 and a standard deviation of 15

b) Score of 688 on a test with a mean of 493 and a standard deviation of 150

A score of 92 is better and and corresponds to the higher relative position because its z score is higher.

On a given registration day, 45 CJ majors and 25 CIS majors arrive. What is the empirical probability that the next student to arrive will be a CJ major?

The empirical probability that the next student to arrive will be a CJ major is,

The empirical probability that the next student to arrive will be a CJ major is 0.6429 or 64.29%