Free Printable MA2041 - Applied Statistics

1.

Price and demand is an example of variable with

a)

negative correlation

b)

positive correlation

c)

uncorrelation

d)

None

2.

If $\gamma$ = -1 then the correlation is

a)

perfect & positive

b)

perfect & negative

c)

uncorrelated

3.

The inherent and unavoidable error in any approximation is known as

a)

Type II error

b)

Type I error

c)

Sample error

d)

Standard error

4.

If the variables x and y are ______ then cov(x, y) = 0.

a)

positively correlated

b)

negatively correlated

c)

uncorrelated

d)

None

5.

If the curve is a straight line it is called a ______ between the two variables.

a)

line of regression

b)

curve of regression

c)

regression equation

d)

regression coefficient

6.

Rejecting a hypothesis H₀ when H₀ is true is an error called

a)

Standard error

b)

Critical error

c)

Type I error

d)

Type II error

7.

The hypothesis tested for possible rejection under the assumption that it is true is called

a)

Test of significance

b)

Errors in testing of hypothesis

c)

Null hypothesis

d)

Alternative hypothesis

8.

The value of Z under the null hypothesis is known as

a)

Critical value

b)

Significant value

c)

Test of significance

d)

Test statistic

9.

If $\left|Z\right|>z_{\alpha}$ then the null hypothesis is

a)

Accepted

b)

Rejected

c)

Zero

d)

One

10.

The probability level below which we reject a null hypothesis is called

a)

Level of significance

b)

Critical value

c)

Test of significance

d)

Test of alternative hypothesis

11.

Accepting a hypothesis H₀ when H₀ is false is an error called

a)

Standard error

b)

Critical error

c)

Type I error

d)

Type II error

12.

A random sampling in which each element of the population has an equal and independent chance of being included in the sample is called

a)

Stratified sampling

b)

Purposive sampling

c)

Random sampling

d)

Simple sampling

13.

If the sample elements are selected with a definite purpose in mind then the sample selected is called

a)

Random sampling

b)

Stratified sampling

c)

Simple sampling

d)

Purposive sampling

14.

The technique of selecting the sample which is the aggregate of the sampled individuals of each stratum is called

a)

Random sampling

b)

Simple sampling

c)

Stratified sampling

d)

Purposive sampling

15.

We can expect surely in all probability a standard normal variate to lie between

a)

-4 and 4

b)

-3 and 3

c)

-5 and 5

d)

-6 and 6

16.

Tippets random number table consists of

a)

10300 four digited numbers

b)

10100 four digited numbers

c)

10400 four digited numbers

d)

10200 four digited numbers

17.

Which one of the following statements are true?
a) $0\le\gamma\le1$
b) If $\gamma=0$ then cov(x,y)=0.

c) $\gamma=\frac{\left(\sigma_x^2+\sigma_y^2-\left(\sigma_{x-y}\right)^2\right)}{2\sigma_x\sigma_y}$

d) $\gamma$ is independent of change of origin and scale.

a)

a, b and c are true

b)

only c is true

c)

b and c are true

d)

a and d are true

18.

The acute angle between the regression lines is given by

a)

$\tan^{-1}\left[\left(\frac{\gamma^2-1}{\gamma}\right)\left(\frac{\sigma_x\sigma_y}{\sigma_x^2+\sigma_y^2}\right)\right]$

b)

$\tan^{-1}\left[\left(\frac{\gamma}{\gamma^2-1}\right)\left(\frac{\sigma_x\sigma_y}{\sigma_x^2+\sigma_y^2}\right)\right]$

c)

$\tan^{-1}\left[\left(\frac{\gamma}{1-\gamma^2}\right)\left(\frac{\sigma_x\sigma_y}{\sigma_x^2+\sigma_y^2}\right)\right]$

d)

$\tan^{-1}\left[\left(\frac{1-\gamma^2}{\gamma}\right)\left(\frac{\sigma_x\sigma_y}{\sigma_x^2+\sigma_y^2}\right)\right]$

19.

Critical value of the test statistic at 5% level of significance in right tailed test is

a)

$z_{\alpha}$ = 1.645

b)

$z_{\alpha}$ = -1.645

c)

$z_{\alpha}$ = 1.96

d)

$z_{\alpha}$ = 2.33

20.

The correlation coefficient between two variables x and y is the ______ of the regression coefficients.

a)

arithmetic mean

b)

geometric mean

c)

harmonic mean

d)

root mean square

MA2041 - Applied Statistics

Total questions: 20

Worksheet time: 19mins

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