Semi-finals (Late)

A researcher wants to analyze the effects of group study on mathematics performance. He randomly selects 100 students from a university for the study. The selected group represents a:

• Parameter

• Population

• Sample

• Statistics

A survey was conducted among 1,500 students, and 25% of them reported experiencing math anxiety. The computed value represents a:

• Statistic

• Parameter

• Population

• Sample

A researcher wants to estimate the proportion of students who prefer online learning. If the total number of students is 15,000 and a 4% margin of error is used, what is the sample size?

• 500

• 501

• 502

• 503

What sampling method should be used if a researcher divides students into freshmen, sophomores, juniors, and seniors and selects equal numbers from each group?

• Simple Random Sampling

• Systematic Sampling

• Cluster Sampling

• Stratified Sampling

A researcher selects every 10th student from a list of enrolled students for a study. What sampling technique is used?

• Simple Random Sampling

• Systematic Sampling

• Cluster Sampling

• Stratified Sampling

Consider the following data set:

15, 22, 18, 30, 25, 20, 19, 16, 21, 29, 24, 27

Using systematic sampling, if every 4th value is selected, what is the sample?

• 15, 18, 19, 21

• 22, 25, 29, 27

• 18, 25, 29, 24

• 15, 30, 21, 27

What is the mean of the numbers: 14, 16, 20, 22, 18, and 24?

• 17

• 18

• 19

• 20

If the mean of a data set is 75 and the variance is 9, what is the standard deviation?

• 3

• 3.1

• 3.2

• 3.3

If the standard deviation of a data set is 5.6, what is its variance?

• 30.56

• 31.36

• 32.16

• 33.64

What is the primary characteristic of stratified sampling?

• Every member of the population has an equal chance of being selected

• The population is divided into groups before sampling

• The selection follows a fixed interval pattern

• Only a specific group of the population is included