#1
Which of the following best defines statistical sampling?
The process of selecting a subset of individuals from a population to represent the whole.
ExplanationStatistical sampling is the method of choosing a portion of a population to symbolize the entire group.
#2
What is the population in statistical sampling?
The entire set of individuals or objects of interest.
ExplanationPopulation in statistical sampling refers to the complete collection of individuals or objects under consideration.
#3
What is the formula for calculating the sample mean?
Sum of sample values divided by sample size
ExplanationSample mean is computed by dividing the sum of sample values by the sample size.
#4
What is the formula for calculating the standard deviation of a sample?
Square root of the variance
ExplanationThe standard deviation of a sample is determined by taking the square root of the variance.
#5
What is the formula for calculating the confidence interval of a sample mean?
Sample mean ± z-score * (standard error)
ExplanationThe formula for calculating the confidence interval of a sample mean involves the sample mean, z-score, and standard error.
#6
What is sampling distribution?
A distribution of a sample statistic based on multiple random samples taken from a population.
ExplanationSampling distribution is the distribution of a sample statistic derived from numerous random samples taken from a population.
#7
What is the key advantage of using random sampling techniques?
It eliminates bias and ensures fairness.
ExplanationRandom sampling techniques are advantageous as they remove bias and ensure impartiality in selecting samples.
#8
In statistical inference, what is a confidence interval?
The range of values within which a population parameter is estimated to lie.
ExplanationA confidence interval in statistical inference is the range where a population parameter is estimated to exist.
#9
What does the term 'margin of error' represent in statistical sampling?
The amount by which a sample statistic may differ from the population parameter.
ExplanationThe margin of error in statistical sampling denotes the potential difference between a sample statistic and the population parameter.
#10
Which of the following sampling methods is most likely to introduce selection bias?
Convenience sampling
ExplanationConvenience sampling is prone to selection bias, making it the method most likely to introduce bias.
#11
What is the purpose of stratified sampling?
To divide the population into subgroups and then randomly select samples from each subgroup.
ExplanationStratified sampling aims to categorize the population into subgroups and subsequently pick samples randomly from each subgroup.
#12
Which of the following is an assumption of the central limit theorem?
The population must have a finite standard deviation.
ExplanationThe central limit theorem assumes that the population possesses a finite standard deviation.
#13
What is the purpose of hypothesis testing in statistical inference?
To determine if there is enough evidence to reject or fail to reject a null hypothesis.
ExplanationHypothesis testing in statistical inference assesses whether there's adequate evidence to accept or reject a null hypothesis.
#14
What is the null hypothesis typically denoted as in hypothesis testing?
H0
ExplanationThe null hypothesis is commonly represented as H0 in hypothesis testing.
#15
What does a Type II error represent in hypothesis testing?
Failing to reject the alternative hypothesis when it is actually true.
ExplanationType II error in hypothesis testing occurs when the alternative hypothesis, though true, is not rejected.
#16
Which of the following statements about Type II error is true?
Type II error occurs when the null hypothesis is not rejected when it is actually false.
ExplanationType II error happens when the null hypothesis, though false, is not rejected.
#17
What is the primary difference between systematic sampling and stratified sampling?
Stratified sampling selects every nth individual from a list of the population, while systematic sampling selects individuals from predetermined intervals.
ExplanationStratified sampling involves selecting every nth individual from a population list, whereas systematic sampling picks individuals from predetermined intervals.