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Statistical Sampling and Analysis Quiz

#1

What is the purpose of stratified sampling?

To ensure representation of all subgroups within the population
Explanation

Stratified sampling aims to include all subgroups in the sample, providing a more accurate representation of the population.

#2

Which of the following is NOT a measure of central tendency?

Variance
Explanation

Variance measures data dispersion, not central tendency; central tendency includes mean, median, and mode.

#3

What is the purpose of random sampling?

To ensure every member of the population has an equal chance of being selected
Explanation

Random sampling aims to provide every individual in the population with an equal probability of being included in the sample.

#4

In which type of sampling does each member of the population have an equal chance of being selected?

Simple random sampling
Explanation

Simple random sampling ensures that each member of the population has an equal and independent chance of being selected in the sample.

#5

Which of the following is NOT a characteristic of simple random sampling?

It ensures proportional representation of subgroups within the population
Explanation

Simple random sampling does not guarantee proportional representation of subgroups; it only ensures equal chances for individual members.

#6

What is the formula for calculating the sample mean?

(Sum of all sample values) / (Number of samples)
Explanation

The sample mean is computed by dividing the sum of all sample values by the number of samples.

#7

What is the purpose of cluster sampling?

To select samples randomly from each cluster
Explanation

Cluster sampling involves random selection of entire clusters, and then sampling individuals within those clusters.

#8

Which of the following is a disadvantage of convenience sampling?

It may lead to biased results
Explanation

Convenience sampling can introduce bias, as it may not accurately represent the entire population.

#9

What is the standard deviation?

A measure of the spread of data around the mean
Explanation

Standard deviation quantifies how much individual data points deviate from the mean, indicating data dispersion.

#10

What is the formula for calculating the standard error of the mean?

Standard Deviation / Square Root of Sample Size
Explanation

Standard error of the mean is computed by dividing the standard deviation by the square root of the sample size.

#11

What does the p-value represent in hypothesis testing?

The probability of observing the sample data if the null hypothesis is true
Explanation

The p-value indicates the probability of obtaining the observed sample data if the null hypothesis is correct.

#12

What is the formula for calculating the coefficient of variation?

(Standard Deviation / Mean) * 100%
Explanation

Coefficient of variation expresses the standard deviation as a percentage of the mean, providing a relative measure of variability.

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