Advanced Statistics (ECST5104)
DIPET 2 in Economics - ECNT
Semester: First Semester
Level:
Year: 2019
FIRST SEMESTER EXAMINATION, MARCH 2019
SCHOOL: H.T.T.T.C. BAMBILI DEPARTMENT: ECONOMIC SCIENCES OPTION: ECONOMICS
COURSE CODE: ECSTS102 COURSE TITLE
:ADVANCED STATISTICS
LECTURER: DR. VUKENK
E
NG
CREDIT VALUE : 3
DATE: 16/03/2019 DURATION: 2 HOURS START TIME: 9:00AM END TIME: 11:00AM
INSTRUCTIONS: Answer all questions in the sequence they appear.
Question 1 (6 marks)
1) Given that the probability for an individual to have a bad reaction following an injection
with a syringe is 0.001.
a) Determiner the probability that with a contingent of 2000 vaccinated persons, at most
three have a bad reaction. (2 marks)
b) Determiner the expected value and the variance. (2 marks)
2) Entry to a certain university is determined by a national test. The scores on this test are
normally distributed with a mean of 500 and a standard deviation of 100. John wants to be
admitted to this university and he knows that he must score better than at least 70% of the
students who look the test. John takes the test and scores 585. Will he be admitted to this
university? (7 marks)
Question 2 (12 marks)
A researcher is interested on the average age for young children to pronounce their first words
of the vocabulary. A study based on one thousand young children showed that the first
words of the vocabulary appear on average at 11.5 months with a standard deviation of
3.2 months. The distribution of ages is being normal, required:
a)
Evaluate the proportion of children who acquired their first words before 10 months.(4
marks)
b)
Evaluate the proportion of children who acquired their first words after 18 months.(4
marks)
c] Evaluate the proportion of children who acquired their first words between 8 and 12
months. (4 marks)
REPUBLIC OF CAMEROON
Peace – Work - Fatherland
THE UNIVERSITY OF BAMENDA
P.O BOX 39, Bambili
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Question 3 (10 marks)
Here below is a contingency table that relates two qualitative variables: Political Party and
Gender. The categories for political party are Action. Silence and Gossip; the categories for
gender are Male and Female
Gender
Total
Male
Female
Political party Action 5 0 5
Silence
11
2
13
Gossip 2 10 12
Total
18
12
30
Required:
a)
Compute & interpret the column percentages.(2 marks)
b)
Use the Chi-square analysis to investigate whether belonging to a political
party is gender sensitive? (5 marks)Note:
-formulate the hypotheses
-calculate the expected frequencies, then the chi-square value
- Discuss the results, use 5% level of significance,
Good luck
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