Solve the problem using the employment information in the table on Alpha Corpora
ID: 3049842 • Letter: S
Question
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
a) Determine the width of each class ______________________
b) Determine the class mark of the second class ______________
1, 14, 20, 19, 14, 19
For the given sample data, find –
the mean _____________
the midrange ____________
the median ______________
62, 52, 52, 52, 64, 69, 69, 76
For the given sample data, find –
the standard deviation. ________________
The percentile rank of a score of 64 __________________
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? ____________________________________
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? ______________________________
A box contains four red, three blue, and six green lenses. One lens is randomly selected from the box. Find the probability that the selected lens is yellow. ____________________________________
A box contains four red, three blue, and six green lenses. One lens is randomly selected from the box. Find the probability that the selected lens is not blue. ____________________________
A box contains four red, three blue, and six green lenses. One lens is randomly selected from the box. Find the probability that the selected lens is blue or green. ______________________________
An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer. _______________________
A multiple choice test allows answers of a, b, c, d, e for each question. A student answers ten questions by making random guesses.
Find the probability that all ten answers are wrong. ______________
Find the probability that the first answer is correct. ______________
12) A box contains four red, three blue, and six green lenses. Two lenses are randomly selected from the box. Find the probability of getting two red lenses when two are selected if the first selection is NOT replaced before the second selection is made. ________________
13) A supplier must fill four large orders. How many different ways can those orders be arranged? ________________
15) How many different three person study groups can be formed from a class of nineteen students?
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
Explanation / Answer
a) Determine the width of each class _5_____________________
b) Determine the class mark of the second class _8_____________
Mean = (1+14+20+19+14+19)/6 = 14.5
Mid Range = (High + low) / 2 = (20+1)/2 = 10.5
Median = (19+14)/2= 16.5
Standard Deviation : 9.24
p15 = 15(8+1) / 100 = 1.35th term = 52 + 0.35(52-52) = 52
The percentile rank of a score of 64 ___4 th rank_______
Z-score = (9.65 - 5.07)/3.39 = 1.3510
Z-score = (92 - 71)/15 = 1.3510
Z-score = (688 - 493)/150 = 1.3
correct answer: the higher relative position, a score of 92 on a test with a mean of 71 and a standard deviation of
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