Estimation and Sampling Distributions Quiz
Test your knowledge on point estimates, standard errors, sampling methods, and more in this estimation and sampling distributions quiz.
#1
What is a point estimate?
An estimate that specifies a single value as the best guess for the parameter of interest
An estimate that specifies a range of values for the parameter of interest
An estimate based on the median of the data
An estimate that depends on the sample size
#2
What is the formula for the standard error of the mean?
Standard deviation / Square root of sample size
Mean / Sample size
Standard deviation * Square root of sample size
Mean * Square root of sample size
#3
Which of the following is NOT a common sampling method?
Simple random sampling
Stratified sampling
Quota sampling
Random digit dialing
#4
What is the difference between a population and a sample?
A population is a subset of a sample
A sample is a subset of a population
A population consists of individuals, while a sample consists of groups
A sample consists of individuals, while a population consists of groups
#5
What is the difference between a parameter and a statistic?
A parameter is a measure of a population characteristic, while a statistic is a measure of a sample characteristic
A parameter is a measure of a sample characteristic, while a statistic is a measure of a population characteristic
A parameter refers to numerical data, while a statistic refers to categorical data
A parameter refers to categorical data, while a statistic refers to numerical data
#6
What is sampling distribution?
A distribution of sample statistics
A distribution of population parameters
A distribution of raw data
A distribution of individual observations
#7
What is the central limit theorem?
A theorem that describes the distribution of a sample mean
A theorem that describes the distribution of a population mean
A theorem that describes the distribution of a sample variance
A theorem that describes the distribution of a population variance
#8
Which of the following statements about sampling distributions is true?
The shape of a sampling distribution is always normal
The standard deviation of a sampling distribution depends on the population size
The mean of a sampling distribution is equal to the population mean
As the sample size increases, the standard error of the mean decreases
#9
What is the margin of error in a confidence interval?
The range of values within which the true population parameter is expected to lie
The probability of obtaining a sample statistic as extreme as the one observed
The maximum amount by which the sample statistic is expected to differ from the true population parameter
The level of significance chosen for the hypothesis test
#10
What is bootstrapping in statistics?
A method for estimating the sampling distribution of a statistic by repeatedly resampling with replacement from the observed data
A method for estimating population parameters based on the characteristics of a bootstrap sample
A method for selecting a random sample from a population
A method for calculating the standard error of a statistic
#11
Which of the following statements about sampling bias is true?
Sampling bias occurs when every individual in the population has an equal chance of being selected for the sample
Sampling bias occurs when the sample does not accurately represent the population
Sampling bias does not affect the generalizability of study findings
Sampling bias can only occur in large-scale surveys
#12
What is the purpose of stratified sampling?
To divide the population into groups based on similar characteristics
To ensure that every individual in the population has an equal chance of being selected for the sample
To select individuals at random from the population
To adjust for biases in the sample
#13
In hypothesis testing, what does a p-value represent?
The probability of making a Type I error
The probability of making a Type II error
The probability of obtaining the observed data, or more extreme data, assuming the null hypothesis is true
The probability of rejecting the null hypothesis when it is actually true
#14
What is the formula for the margin of error in a confidence interval for a population mean?
Z * (Standard deviation / Square root of sample size)
Z * (Standard deviation * Square root of sample size)
Z * (Standard error / Square root of sample size)
Z * (Standard error * Square root of sample size)
#15
What is the formula for calculating the confidence interval for a population proportion?
Sample proportion ± (Z * Standard deviation)
Sample proportion ± (Z * Standard error)
Sample proportion ± (Z * Square root of sample size)
Sample proportion ± (Z * Square root of population proportion)
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