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STA1502 Exam pack 2024(Questions and answers)
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STA1502 EXAMPACK 2024
QUESTIONS AND
ANSWERS
FOR ASSISTANCE CONTACT
EMAIL:gabrielmusyoka940@gmail.com
, STA1502/103/1/2024
Statistical Inference I
STA1502
Semester 1
Department of Statistics
TRIAL EXAMINATION PAPER
1. Trial Examination Papar
2. Trial Examination Paper Solutions
university
Define tomorrow. of south africa
, 1 TRIAL EXAMINATION PAPER
Question 1
For a sample of 10 observations with a sample mean of 39 and sample standard deviation of 4. Let
assume that a second sample of size 7 is independent and from other population with a sample
mean of 37 and sample standard deviation of 3. Test the hypothesis that the population mean for
group 1 is greater than the population mean from group 2, which one of the following statement is
correct?
1. The population variance are known.
2. The alternative hypothesis is H1 : u 1 < u 2 :
3. The critical value at 5% is 2:131.
4. H0 is not rejected at 5% level of significance.
5. The test statistics is 1:154:
Question 2
Using the information on question 1, the 95% confidence interval estimate for the difference be-
tween two population means is
1. 1:694I 5:694
2. 1:03269I 5:03269
3. 1:03269I 5:03269
4. 1:69I 5:694
5. 1:81I 5:81
Question 3
Given the given data:
Sample 1 Sample mean D 250 Sample standard deviation D 27 Sample size 9
Sample 2 Sample mean D 238 Sample standard deviation D 15 Sample size 9
Let assume that the population variance are unknown but equal, the standard error of the difference
between the two mean is :
1. 477
2. 106
3. 10:295
4. 13:242
5. 100
2
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