A researcher wants to test the significance of the differences of the average performance of more than two sample groups drawn from a normally distributed population, which one of the following hypothesis testing tests is appropriate?

Match the items of List - II with the items of List - I and select the code of correct matching List - I List - II (a) Chi-square Test (i) Testing the significance of the differences of the mean values among more than two sample groups. (b) ANOVA (F-test) (ii) Testing the goodness of fit of a distribution (c) Z - test (iii) Testing the significance of the difference of the mean values between two large sized samples (d) t - test (iv) Testing the significance of the difference of the mean values between two small sized samples when population standard deviation is not available

A

(a) - (i), (b) - (ii), (c) - (iii), (d) - (iv)

B

(a) - (iv), (b) - (iii), (b) - (ii), (d) - (i)

C

(a) - (i), (b) - (ii), (c) - (iv), (d) - (iii)

D

(a) - (ii), (b) - (i), (c) - (iii), (d) - (iv)

Statement I When a null hypothesis is true but as per the hypothesis testing, it is rejected; it is known as Type II error in hypothesis testing.
Statement II For testing the significance of the differences among the performance of more than two sample groups when the data are non-parametric, Kruskal-Wallis (H) test is appropriate.

A

Both statements are correct

B

Both statements are incorrect

C

Statement I is correct, while Statement II is incorrect

D

Statement I is incorrect, while Statement II is correct

Given below are two statements : One is labeled as Assertion A and the other is labeled as Reason R. Assertion (A) : When Null Hypothesis (H0) is rejected, researcher's hypothesis (H1) is accepted. Reason (R) : Null Hypothesis (H0) is a chance hypothesis and as such (H1) being true, the researcher's hypothesis lies in the domain of acceptability. In the light of the above statements, Choose the most appropriate answer from the options given below :

A

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

B

Both (A) and (R) are correct but (R) is NOT the correct explanation of (A).

C

(A) is correct but (R) is not correct.

D

(A) is not correct but (R) is correct.

A college/university teacher plans to test his/her substantive research hypothesis in a major project. Which of the following statements are considered relevant in this regard? A. Substantive research hypothesis has to clearly specify the relationship among variables B. Research hypothesis may be directed at finding out differential effects or relationships C. Null hypothesis should be formulated beforehend D. There is direct support available for testing the substantive research hypothesis E. The final decision on the research hypothesis may be reached indirectly by deciding the fate of the Null hypothesis Choose the correct answer from the options given below:

A

A, B and C only

B

B, C and D only

C

A, D and E only

D

A, B and E only

Identify the tests from the list given below, which are maximum performance tests in the context of research: 1. Personality tests 2. Projective personality tests 3. Achievement tests 4. Attitude tests 5. Intelligence tests 6. Aptitude tests Choose the correct answer from the options given below:

A

1, 2 and 3

B

2, 3 and 5

C

3, 5 and 6

D

1, 4 and 6

A researcher wants to test the significance of the difference between the average performance of the two small sized samples when the information of the population standard deviation is not available, which one of the following hypothesis-testing is suitably used?

A

Z-test

B

Chi-square test

C

F-test

D

T-test

Match the items in List - I (Techniques of sampling) with that of List - II (characteristics of procedure). Choose appropriate code for your answer : Set - I (Techniques of sampling) Set – II (Characteristics of procedure) (a) Purposive sampling (i) Dividing the population into subgroups and taking one or more groups at random (b) Multistage sampling (ii) Researcher relies on his or her own judgment when choosing members from the population (c) Systematic sampling (iii) Obtaining K ‘interval’ through N/n and using it for constituting the sample (d) Stratified sampling (iv) Researcher divides the entire population into homogeneous subgroups and randomly selects the final sample

A

(a) - (i), (b) - (iii), (c) - (iv), (d) - (ii)

B

(a) - (ii), (b) - (i), (c) - (iii), (d) - (iv)

C

(a) - (iv), (b) - (ii), (c) - (i), (d) - (iii)

D

(a) - (iii), (b) - (i), (c) - (iv), (d) - (ii)

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

Statement I A hypothesis test for comparing the variances of two independent populations with the help of variances of two small samples is known as chi-square test.
Statement II To test the hypothesis that the population standard deviation has a specific value on the basis of the values of sample standard deviation of small sized sample, F-test isrelevant.

A

Both statements are correct

B

Both statements are incorrect

C

Statement I is correct, while Statement II is incorrect

D

Statement I is incorrect, while Statement II is correct

Bama and Jaya each took four 100-point tests. Bama got an average of 78 on the four tests. Jaya scored 10 points higher than Bama on the first test, 10 points lower than her on the second test, and 20 points higher on both the third and fourth tests. What is the difference between Jaya's average and Bama's average on these four tests?

A

20

B

10

C

0

D

5

A researcher wants to test the significance of the differences of the average performance of more than two sample groups drawn from a normally distributed population, which one of the following hypothesis testing tests is appropriate?

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