Question 1
(a) What is Descriptive Statistics?
(b) What is Inferential Statistics?
(2 marks)
Question 2
(a) What are Means and Median?
(b) What are Variance and Standard Deviation?
(2 marks)
Question 3
(a) What is Frequency Table?
(b) What is Frequency Distribution?
(2 marks)
Question 4
In a Binomial distribution, n = 8 and π = 0.30. Find the probabilities of the following event: x=2.
(2 marks)
Question 5
In a Poisson distribution, µ = 0.4. What is the probability that x = 0?
(2 marks)
Question 6
(a) Compute the mean of the following population values: 6, 3, 5, 7, 6.
(b) What is Median of these values?
(2 marks)
Question 7
(a) What is the meaning of Mutually Exclusive in the world of Statistics?
(b) What is the meaning of Collectively Exhaustive?
(2 marks)
STAT 1022(FINAL)April 2021
2
Question 8
The mean of a normal probability distribution is 500; the standard deviation is 10.
(a) About 95% of the observations lie between what two values?
(b) Practically all of the observations lie between what two values.
(2 marks)
Question 9
The following sample observations were randomly selected.
Determine the correlation coefficient and interpret the relationship between x and y.
x 4 5 3 6 10
y 4 6 5 7 7
Formula for Correlation Coefficient:
r = ∑(x - ẋ)(y - ẏ)
(n – 1) S x S y
(2 marks)
Question 10
Based on Question 9 sample observations, determine the regression equation.
Determine the value of y when x is 7.
Formula for Linear Regression:
y = a + bx
Slope of the regression line:
b = r(S y /S x )
(2 marks)