Q1. (15 Marks) Complete
Final Examination of Biostatistics for Premedical Students
1. The row data of any medical research can be classified into two type quantitative and qualitative data.
2. The mode is appropriate measure for nominal or ordinal variables.
3. The following ordered data illustrates the fasting blood levels of ten children x, 62, 63, 63, 65, 68, 70, 70, 71, y. From these data is found the range and average of fasting blood are 16 and 66 respectively. The values of missing fasting blood x and y are 56 and 12 respectively
4. Pie chart divides data into segments.
5. Poisson distribution has the mean and the variance are both equal.
6. The probability of getting exactly three heads when three balanced coins are tossed once is equal to 0.125. 7. If A and B are two mutually exclusive events, with probability P(A)=0.35, P(B)=0.15 then P(AB)=0.5.
8. The set of all possible outcomes is called the sample space of the experiment.
9. Suppose we have a population of size N = 5, then all possible sample of size n=3 with replacement is equal to 125.
10. In the sampling the small standard error indicates that the estimate is precise.
11. The probability that an entering college student will graduate is 0.4, then the probability that one out of 5 students will
graduate is equal to (C) (0.4) (0.6-0.2392.
12. The statistical technique that used to test whether there is any difference among the means of three or more populations are called Analysis of variance.
13. The incorrect decision of rejecting the null hypothesis when in fact it is true, creates Type I error.
14. A statistical technique to study the relationship between two variables through a statistical model is called Regression Analysis.
15. In One-Way ANOVA, variation can be separated into two major components.
A. The following are the age of the 90 cases of AIDS detected in a serology survey.
Age (years)
0-10
10-20
20-30
30-40
40-50
50-60
60-70
Frequencies (F)
10
F:
17
F
16
Fo
F
Less than cumulative (C.F)
1-(6 Marks) Find the missing values F2, F1, F6, F7, C₁ and C
C1
24
41
62
78
86
C
C₁=10
C90
F: 24-10-14
F-62-41-21
F-86-78-8F90-86-4
Age (years)
0-10
10-20
20-30
30-40
40-50
50-60
60-70
Frequencies (F)
10
14
17
21
10
8
4
Less than cumulative (CF)
10
24
41
2
78
86
90
2-(2 Marks) Find the mode and median class.
Mode class=(30-40)
=21
N
Median class=(30-40)
= 45
C.F-62
2
B. In a study of the incidence of back pains for men aged 50 and above in a certain city, it was found that 20 out of 400 men selected have back pains. Let the proportion of men aged 50 and above in the city with back pains is P. Find:
1-(3 Marks) The point estimate for P. 2-(4 Marks) The lower and upper limits of 90% confidence intervals for P.
Solution:
20 P =0.05 400
1-1-0.05 -0.95
The point estimate for p = 0.05 Confidence interval
21.65
p.4
p-2a/2