11
A researcher conduct a hypothesis test and observes values from sample mean and sample standard deviation when n = 25, that do not lead to rejection of null hypothesis. He calculates the p value as 0.0667. What will happen to the p value if he observes the same sample mean and standard deviation for a sample > 25?
A)
Stay the same
B)
Increase
C)
Decrease
D)
May increase or decrease
Answer & Solution
Answer: Option
C
12
Three helicopter crewmen are needed in an emergency. There are six crewmen on duty. In how many ways could three of them be chosen to fly the machine?
A)
20
B)
17
C)
30
D)
15
Answer & Solution
Answer: Option
A
13
Binomial distribution is
A)
$$\frac{{p + q}}{n}$$
B)
$$\left( {\frac{{q + p}}{{n - 1}}} \right) \times p - 1$$
C)
$${\left( {q + p} \right)^n}$$
D)
$$\frac{{p + 1}}{{n - 1}}$$
Answer & Solution
Answer: Option
C
14
Match the following.
List-I (Moments) List-II (Constants of Binomial Distribution)
a. μ1
1. 3n2 p2 q2 + npq (1 - 6pq)
b. μ2
2. npq (q - p)
c. μ3
3. npq
d. μ4
4. 0
A)
a-1, b-2, c-3, d-4
B)
a-4, b-3, c-2, d-1
C)
a-4, b-2, c-1, d-3
D)
a-2, b-1, c-4, d-3
Answer & Solution
Answer: Option
B
15
Regression coefficient is
A)
$$r = \sqrt {\frac{{{b_{xy}}}}{{{b_y}}}} $$
B)
$$r = \sqrt {{b_{xy}} \times {b_{yx}}} $$
C)
$$r = \frac{{{b_y}}}{{\sqrt {\sum {d_x}} }}$$
D)
$$r = \frac{{\sum {d_x}}}{{{b_x}}}$$
Answer & Solution
Answer: Option
B
16
Student's t-test was developed by
A)
Karl Pearson
B)
Gosset
C)
Fisher
D)
Laplace
Answer & Solution
Answer: Option
B
17
Which of following is/are characteristics of Karl Pearson's coefficient of correlation?
A)
Indication of degree
B)
Indicator of the direction
C)
A satisfactory measure
D)
All of the above
Answer & Solution
Answer: Option
D
18
Given
A)
Correlation equation
B)
Regression equation
C)
Mean analysis
D)
Mean
Answer & Solution
Answer: Option
B
19
What is the probability of not happening of an event?
A)
$$\frac{m}{{m + n}}$$
B)
$$\frac{m}{{m - n}}$$
C)
$$\frac{n}{{m + n}}$$
D)
$$\frac{n}{{m - n}}$$
Answer & Solution
Answer: Option
C
20
The device used to estimating the value of one variable from the value of the other consists of a line through the points, drawn in such a manner as to represent the average relationship between the two variables, such a line is called the
A)
Mode
B)
Average
C)
Regression
D)
Correlation
Answer & Solution
Answer: Option
C
