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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
Explanation

Single-value best guess for a parameter

#2

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

Standard deviation / Square root of sample size
Explanation

SE of mean = SD / √n

#3

Which of the following is NOT a common sampling method?

Quota sampling
Explanation

Not a common sampling method

#4

What is the difference between a population and a sample?

A sample is a subset of a population
Explanation

Sample is a subset of population

#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
Explanation

Parameter: population, Statistic: sample

#6

What is sampling distribution?

A distribution of sample statistics
Explanation

Distribution of sample statistics

#7

What is the purpose of a confidence interval?

To estimate the range within which the population parameter is likely to lie
Explanation

Estimate range of population parameter

#8

What is the central limit theorem?

A theorem that describes the distribution of a sample mean
Explanation

Describes distribution of sample mean

#9

Which of the following statements about sampling distributions is true?

As the sample size increases, the standard error of the mean decreases
Explanation

Larger sample, smaller SE of mean

#10

What is the margin of error in a confidence interval?

The maximum amount by which the sample statistic is expected to differ from the true population parameter
Explanation

Maximum difference in statistic and parameter

#11

What is bootstrapping in statistics?

A method for estimating the sampling distribution of a statistic by repeatedly resampling with replacement from the observed data
Explanation

Estimating sampling distribution through resampling

#12

Which of the following statements about sampling bias is true?

Sampling bias occurs when the sample does not accurately represent the population
Explanation

Sampling bias: inaccurate representation

#13

What is the purpose of stratified sampling?

To divide the population into groups based on similar characteristics
Explanation

Dividing population into similar groups

#14

What is the standard deviation of a sampling distribution called?

Standard error
Explanation

SD of sampling distribution is SE

#15

What does the standard error of the mean represent?

The variability of sample means across different samples
Explanation

SE of mean measures variability

#16

Which of the following factors affects the width of a confidence interval?

All of the above
Explanation

Multiple factors affect CI width

#17

What is the relationship between confidence level and margin of error?

As the confidence level increases, the margin of error increases
Explanation

Higher confidence, larger margin of error

#18

Which of the following sampling methods is likely to introduce bias?

Convenience sampling
Explanation

Convenience sampling introduces bias

#19

What is meant by a representative sample?

A sample that accurately reflects the characteristics of the population from which it is drawn
Explanation

Sample accurately reflects population

#20

In statistical terms, what does 'sampling with replacement' mean?

Selecting individuals for the sample and then replacing them back into the population before the next selection
Explanation

Resampling with replacement

#21

What is the primary purpose of stratified sampling?

To reduce sampling error by accounting for differences in the population
Explanation

Reducing sampling error through accounting

#22

Which of the following statements about the standard error of the mean is true?

It measures the variability of sample means across different samples
Explanation

SE of mean measures variability

#23

In hypothesis testing, what does a p-value represent?

The probability of obtaining the observed data, or more extreme data, assuming the null hypothesis is true
Explanation

Probability under null hypothesis

#24

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)
Explanation

Margin of error formula

#25

What is the formula for calculating the confidence interval for a population proportion?

Sample proportion ± (Z * Standard error)
Explanation

CI formula for population proportion

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