Question 1 - Standard normal distribution can be described as a special case of normal distribution with which of the following properties
Standard normal distribution is a special case of normal distribution with mean as 0 and standard deviation as 1
Question 2 - Interquartile range can be calculated as (Assume Q1, Q2, Q3 and Q4 are 1st, 2nd, 3rd and 4th quartiles respectively)
Q1, Q2, Q3 and Q4 correspond to 25th, 50th, 75th and 100th percentiles respectively. Interquartile range is defined as distance between 75th and 25th percentile which is Q3 - Q1.
Question 3 - If A and B are two independent events, which of the following is true?
If A and B are two independent events then P(A ∩ B) = P(A) * P(B)
Question 4 - If X is a random variable that follows normal distribution then which of the following is correct
Normal distribution is a continuous probability distribution. Hence, probability at any particular point or value is equal to zero.
P(X = 1) = 0
Question 5 - Which of the following is true regarding correlation coefficient?
Correlation is defined for two variables. It ranges between -1 and +1 including both values. -1 indicates perfect negative correlation while +1 indicates perfect positive correlation and 0 indicates no correlation at all.
Question 6 - If X is a random variable that follows normal distribution and if it is known that P(X > 2) = 0.5 then which of the following is true?
Normal distribution is symmetric around its mean. Area to the right side of mean is 50%. Given that P(X >2) = 0.5 means area to right of 2 is 50%. Hence, 2 is the mean of X.
Question 7 - Assume that we have rejected the null hypothesis when it is actually true. What type of error is committed here?
Type I error - Rejected the null hypothesis, but, it is actually true
Type II error - Failed to reject the null hypothesis when it is actually false
Question 8 - Which of the following represents Normal distribution in terms of skewness
Normal distribution has zero skeweness. It is neither skewed to left nor to the right. Data points for normal curve are perfectly symmetric around the mean
Question 9 - Regression line is nearly parallel to X- axis for a given set of data for variables X and Y. Which of the following is a close approximation of correlation coefficient between X and Y?
Regression line is nearly parallel to X-axis means as X increases, there is little/no change in Y. Hence, correlation between X and Y is close to zero.
Question 10 - A student has performed simple linear regression analysis on a set of data (Variables involved are X and Y) and reported the coefficient of determination as - 0.36 Which of the following is true?
Coefficient of determination (R square) is always a positive value and ranges between 0 and 1 including both the values. This can never take negative value