Q.1 Which of the following values is used as a summary measure for a sample, such as a sample mean?
(A) Population parameter
(B) Sample parameter
(C) Sample statistic
(D) Population mean
Answer: C
Q.2 Which of the following is a branch of statistics?
(A) Descriptive statistics
(B) Inferential statistics
(C) Industry statistics
(D) Both A and B
Answer: D
Q.3 Specialised processes such as graphical and numerical methods are utilised in which of the following?
(A) Education statistics
(B) Descriptive statistics
(C) Business statistics
(D) Social statistics
Answer: B
Q.4 Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people with IQs above 130 is:
(A) 95%
(B) 68%
(C) 5%
(D) 2.5%
Answer: D
Q.5 Randomly assigning treatment to experimental units allows:
(A) population inference
(B) causal inference
(C) both types of inference
(D) neither type of inference
Answer: B
Q.6 Failing to reject the null hypothesis when it is false is:
(A) alpha
(B) Type I error
(C) beta
(D) Type II error
Answer: D
Q.7 A national random sample of 20 scores is listed below. Calculate the sample mean and standard deviation.
29, 26, 13, 23, 23, 25, 17, 22, 17, 19, 12, 26, 30, 30, 18, 14, 12, 26, 17, 18
(A) 20.50, 5.79
(B) 20.50, 5.94
(C) 20.85, 5.79
(D) 20.85, 5.94
Answer: D
Q.8 Provided that the above sample is reasonably normally distributed with a mean of 18 and standard deviation of 6, determine the proportion of students with a 33 or higher.
(A) 0.0062
(B) 0.0109
(C) 0.0124
(D) 0.0217
Answer: A
Q.9 Using the data in question 7, calculate the 95% confidence interval for the mean score based on the t-distribution.
(A) -∞ to 23.05
(B) -∞ to 23.15
(C) 18.07 to 23.63
(D) 18.22 to 23.48
Answer: C
Q.10 When the correlation coefficient, r, is close to one:
(A) there is no relationship between the two variables
(B) there is a strong linear relationship between the two variables
(C) it is impossible to tell if there is a relationship between the two variables
(D) the slope of the regression line will be close to one
Answer: B
