1.(0.5) IF WE ARE GIVEN THE POPULATION STANDARD DEVIATION AND n > 30 DO WE USE T
ID: 2907618 • Letter: 1
Question
1.(0.5) IF WE ARE GIVEN THE POPULATION STANDARD DEVIATION AND n > 30 DO WE USE THE z-VALUES OR t-VALUES? NOW SHOW WHAT YOU HAVE LEARNED SO FAR WITH DESCRIPTIVE AND INFERENTIAL STATISTICS. YOU ARE PROMOTING ONE I.T. EMPLOYEE AND HAVE TWO CANDIDATES THAT HAVE EACH TAKEN THE SAME 15 SECURITY EXAMS OVER THE PAST YEAR. YOU HAVE TWO FINALIST CANDIDATES WHO HAVE THE FOLLOWING SCORES. SO, WHICH ONE DO YOU PICK AND WHY? (EACH TEST HAD POSSIBLE SCORES RANGING FROM 0 TO 100) A 40 89 90 91 92 89 44 84 85 92 89 90 86 88 92 B 99 85 84 79 81 88 80 85 79 82 81 80 79 83 82
Explanation / Answer
Result:
1.(0.5) if we are given the population standard deviation and n > 30 do we use the z-values or t-values?
Since population standard deviation is given, z-values can be used.
NOW SHOW WHAT YOU HAVE LEARNED SO FAR WITH DESCRIPTIVE AND INFERENTIAL STATISTICS. YOU ARE PROMOTING ONE I.T. EMPLOYEE AND HAVE TWO CANDIDATES THAT HAVE EACH TAKEN THE SAME 15 SECURITY EXAMS OVER THE PAST YEAR. YOU HAVE TWO FINALIST CANDIDATES WHO HAVE THE FOLLOWING SCORES. SO, WHICH ONE DO YOU PICK AND WHY? (EACH TEST HAD POSSIBLE SCORES RANGING FROM 0 TO 100).
A 40 89 90 91 92 89 44 84 85 92 89 90 86 88 92
B 99 85 84 79 81 88 80 85 79 82 81 80 79 83 82
Descriptive statistics
A
B
n
15
15
mean
82.73
83.13
sample standard deviation
16.74
5.11
sample variance
280.07
26.12
minimum
40
79
maximum
92
99
range
52
20
Candidate B have larger mean and low variance. B have higher mean and also consistent. So we pick candidate B.
Descriptive statistics
A
B
n
15
15
mean
82.73
83.13
sample standard deviation
16.74
5.11
sample variance
280.07
26.12
minimum
40
79
maximum
92
99
range
52
20
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