Quantitative Methods for Business Alternative

Quantitative methods for
business alternative

Table of Contents
QUESTION 1...................................................................................................................................1
a)..................................................................................................................................................1
I) Mean........................................................................................................................................1
II) Standard deviation..................................................................................................................1
III) Interpret the results...............................................................................................................2
b) Sampling methods...................................................................................................................2
c) Cumulative frequency.............................................................................................................3
QUESTION 4...................................................................................................................................4
QUESTION 5...................................................................................................................................5
(a) Calculation of Z score............................................................................................................5
(b) Calculation of whether value is significantly different or not...............................................5
(c) Calculation of 1% level of significance.................................................................................6
REFERENCES................................................................................................................................7

QUESTION 1
a)
I) Mean
Access time in mil-
liseconds
Frequency
(f)
mid-
point
(m) mf
30 >35 17 32.5 552.5
35>40 24 37.5 900
40 > 45 19 42.5 807.5
45 > 50 28 47.5 1330
50 > 55 19 52.5 997.5
55 > 60 13 57.5 747.5
120 5335
Mean = ∑ mf / n
= 5335 / 25
= 44.45
II) Standard deviation
Access time in mil-
liseconds
Fre-
quency (f)
mid-
point
(m) mf m^2 m^2f
30 >35 17 32.5 552.5 1056.25 17956.3
35>40 24 37.5 900 1406.25 33750
40 > 45 19 42.5 807.5 1806.25 34318.8
45 > 50 28 47.5 1330 2256.25 63175
50 > 55 19 52.5 997.5 2756.25 52368.8
55 > 60 13 57.5 747.5 3306.25 42981.3
120 5335 244550
Variance =
= [244550 – (5335)^2 / 120 / 120]
1