Let x(t) be a continuous-time, real valued signal band-limited to F Hz. The Nyquist sampling rate in Hz, For y(t) =x(0.5t) +x(t)-x(2t) is

Assertion (A): Nyquist rate of sampling is the theoretical minimum sampling rate at which the signal can be sampled and still be reconstructed from its samples. Reason (R): When the Nyquist rate sampling is used, only an ideal low pass filter can be used to extract signal x(t) from sampled signal xs(t). Code:

A

Both (A) and (R) are true and (R) is the correct explanation of (A).

B

Both (A) and (R) are true, but (R) is not the correct explanation of (A)

C

(A) is true, but (R) is false.

D

(A) false, but (R) is true

From the list given below, identify those which are called ‘Non-Probability Sampling’ procedures: (i) Simple random sampling (ii) Dimensional sampling (iii) Snowball sampling (iv) Cluster sampling (v) Quota sampling (vi) Stratified sampling Choose the correct option:

A

(i), (ii) and (iii)

B

(ii), (iv) and (v)

C

(i), (iii) and (iv)

D

(ii), (iii) and (v)

Which of the two statements from the following statements are correct? (A) Sampling - related error is subsumed under the category non-sampling error. (B) Sampling error doesn't occur in multi-stage cluster sampling. (C) Inaccurate sampling frame and non-response are examples of sampling related error. (D) There is an inverse relation between heterogeneity of population and sampling error. Choose the correct option:

A

(A) and (C) only

B

(A) and (D) only

C

(B) and (D) only

D

(B) and (C) only

Let x(t) be a continuous time, real valued signal band limited to F Hz. The Nyquist sampling rate in Hz, for y(t) = x(0.5t) + x(t) – x(2t) is ______________

A

F

B

2F

C

4F

D

8F

Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let {a_k} be the complex Fourier series coefficients of x(t), where k is integer valued. Consider the following statements about x(3t):
1. The complex Fourier series coefficients of x(3t) are {a_k} where k is integer valued.
2. The complex Fourier series coefficients of x(3f) are {3a_k} where k is integer valued.
3. The fundamental angular frequency of x(3t) is 6π rad/s.
For the three statements above, which one of the following is correct?

A

Only 2 and 3 are true

B

Only 1 and 3 are true

C

Only 3 is true

D

Only 1 is true

From the following, identify those which are called non-probability sampling procedures: a) Systematic sampling b) Quota sampling c) Stratified sampling d) Purposive sampling e) Snowball sampling Choose the correct answer from the options given below:

A

a, b and c only

B

b, c and d only

C

b, d and e only

D

c, d and e only

Which of the following are non-probability sampling methods? (A) Cluster sampling (B) Judgemental sampling (C) Systematic sampling (D) Snowball sampling (E) Quota sampling Choose the correct answer from the options given below :

A

(A), (B) and (C) only

B

(B), (D) and (E) only

C

(B), (C) and (D) only

D

(C), (D) and (E) only

Which of the following sampling methods in research are non - probability based? A. Cluster sampling method B. Dimensional sampling method C. Random sampling method D. Judgement sampling method E. Snowball sampling method Choose the correct answer from the options given below:

A

B, C and D only

B

A, B and C only

C

B, D and E only

D

C, D and E only

Which of the following sampling methods are probability based? a) Cluster sampling b) Quota sampling c) Systematic sampling d) Dimensional sampling e) Stratified sampling Choose the most appropriate answer from the options given below:

A

b, c and d only

B

a, c and e only

C

a, d and e only

D