Form:
Pharmaceutical Statistics
Midterm Exam
Name:
Reg. #
For each of the followings, choose the most appropriate answer:
1. The mode is superior to the mean and median as an indicator of central
tendency when:
a.
b.
c.
d.
2.
e.
f.
g.
h.
i.
3.
a.
b.
c.
d.
e.
4.
a.
5.
a.
b.
c.
d.
e.
6.
The data is normally distributed
The data is monomodal
The data is bimodal
All of the above
Data obtained by a process of counting tablets that are filled into bottles is an
example of:
Qualitative continuous data
Qualitative discrete data
Quantitative continuous data
Quantitative discrete data
None
The objective of statistics is to generate:
Data
Variables of the population
Knowledge on the population
Numbers from the sample
None
Measurements made on quantitative variables convey information regarding:
Attribute
b. Amount
c. Category
d. a, b & c
e. None
Making a conclusion about a population on the basis of information contained in a
sample is called:
Statistical inference
Statistical frequency
Statistical category
None of the above
None
In the Whisker and Box blots below for tablet dissolution time in minutes for two
batches A &B, the correct statement is:
a. Median value for dissolution time data for batch A is higher
than B
b. Dissolution time values for batch A scatter less than values
for B relative to their means
c. Interquartile range for A is larger than B
d. Distribution frequency for B is skewed to the right
e. None
Page 1 of 5
Form:
7.
a.
b.
c.
d.
e.
8.
In the normal distributions below (A, B, C), the followings are true, except:
μA = μB = μC
ModeA = ModeB = ModeC
MedianA = MedianB = MedianC
σ A = σB = σC
None
Considering the following frequency distribution table describing the results of a
particle size analysis experiment, the values of (m) and (n) are
Mean of Size Range (μm) Relative frequency Cumulative relative frequency
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.02
0.08
0.19
0.46
m
0.07
0.04
0.02
0.10
0.29
0.75
0.89
0.96
n
a. (0.14 and 0.04)
b. (0.23 and 1.00)
c. (0.14 and 1.00)
d. (0.23 and 0.04)
e. None
9. If data are provided in mg, the statistical descriptor that has no unit is the:
a. Mean
b. Standard Deviation
c. Coefficient of variation
d. Range
e. None
10. A pharmacist is measuring the erythromycin content in 250 mg (label claim)
erythromycin tablets manufactured at her company. She analyzed 20 tablets
individually and calculated the mean of erythromycin content to be 247.3 mg with a
coefficient of variation of 2%.
The standard deviation of the 20 tablets she assayed in mg is:
a. 4.95
b. 0.81
c. 8.1x10-3
d. 2
e. None
11. What is the statistical variable in the experiment described in question 12?
a. Erythromycin content
b. Number of Tablets
c. The analyst
d. The mean
e. None
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Form:
12. The disintegration time of a batch of tablets is a normally distributed variable with
mean μ=30 seconds and standard deviation σ=4 seconds. The probability of selecting
tablet from this batch with disintegration time longer than 30 seconds and shorter
than 35 seconds is:
a. 0.8944
b. 0.3944
c. 0.3849
d. 0.5044
e. None is correct
13. In the skewed probability distribution below, select the most correct statement:
a. Mode>Median>Mean
b. Mean>Mode>Median
c. Mean>Median>Mode
d. Median>Mean>Mode
e. None of the above
14. In the following Venn diagram, circles A, B, and C have area of 0.4, 0.2, and 0.2
respectively. The probability that neither A nor B nor C will occur is:
a. 0.3
b. 0.2
c. 0.4
d. Cannot be computed
e. None
15. Quality control analyst at UJ Pharmaceuticals concluded that the Omeprazol content
in a batch of tablets is normally distributed variable with mean μ=30 mg and
standard deviation σ=6 mg. The probability of selecting a tablet randomly containing
more 36 mg is:
a. 0.1587
b. 0.8413
c. 0.9500
d. 0.5044
e. None is correct
16. Given the normally distributed variable X with variance of 25 and P(X≤250)=0.8508,
the value of μ is:
a. 255.2
b. -1.04
c. 244.8
d. 1.04
e. None is correct
17. Suppose that the first quartile Q1 and the Interquartile range IQR of a sample data
are equal, and that the third quartile Q3 equals 36. Then the first quartile Q1 of the
sample data equals :
a. 25
b. 32
c. 18
d. None
Page 3 of 5
Form:
18. Which of the followings is a measure for central tendency?
a. First quartile
b. Second quartile
c. Third quartile
d. Interquartile range
Assume that the weights of carbamazepine tablets have a mean weight of 650 mg, a
standard deviation of 6 mg and are normally distributed.
19. What is the standard error for the distribution of means for a sample size n=9?
a. 0.66
b. 2
c. 4
d. 36
e. None of the above
20. If a sample of size n=9 was drawn from this population, what will be the probability
that the mean is less than 646?
a. 0.7486
b. 0.9772
c. 0.0228
d. 0.2514
e. 0.0013
21. Considering the following sampling distributions of the mean for Plasma Cholesterol
Level in some specific population, which distribution has the largest sample size?
a. A
b. B
c. C
d. More information is needed
22. If the probability of left handedness in a certain
group of people is 0.05, what is the probability of right handedness (assuming the
ability to use both hands does not exist)?
a.
b.
c.
d.
0.05
0.95
0.10
Not enough information is provided
a.
b.
c.
d.
0
1
100
Could assume any value depending on the property measured and population
23. What is the value of the mean of a standard normal distribution?
Page 4 of 5
Form:
24. What is the percentage area enclosed between the perpendicular erected at the
mean (μ), that erected at (z=1), the z axis and the standard normal distribution
curve?
a. 68%
b. 34%
c. 32%
d. 16%
25. The value of the mean represent the mid point of the range of measurements:
a. True
b. False
26. The median represents the:
a.
b.
c.
d.
Midpoint of the range
Midpoint of the rank order
Midpoint of the distribution
All of the above
a.
b.
c.
d.
Mean
Standard Deviation
Coefficient of variation
Range
27. When evaluating the precision of an analytical procedure, the statistical descriptor of
value is:
Considering the following table, answer the questions 28-30:
28. The value of P(X≤9) is:
a. 1.00
b. 0.00
29. The value of P(X=9) is:
a. 1.00
b. 0.00
30. The value of P(X=4) is:
a. 0.89
b. 0.07
c. None of the previous options
c. None of the previous options
c. 0.04
d. None
Good Luck
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