16 Questions
What is a point estimate in statistics?
An estimate of a population parameter based on sample data
What is the purpose of inferential statistics?
To make generalizations about an unknown population based on sample data
What do confidence intervals represent in statistics?
A range of values within which the population parameter is likely to lie
Why are point estimates most likely not the exact value of the population parameter?
Because they are affected by random variability in the sample data
What is the main concept behind constructing confidence intervals?
To estimate a range within which the population parameter is likely to lie
What distinguishes inferential statistics from descriptive statistics?
Inferential statistics makes inferences about populations, while descriptive statistics summarizes sample data
What is the point estimate for the population mean?
The sample mean, x ˉ
What is the point estimate for the population standard deviation?
The sample standard deviation, s
What is used to estimate the population mean?
Sample mean, x ˉ
Which theorem states that in approximately 95% of the samples, the sample mean will be within two standard deviations of the population mean?
Central Limit Theorem
What does the empirical rule apply to?
Bell-shaped distributions
Which value is used to calculate the standard deviation for the sample mean?
$rac{σ}{√n}$
What does a 95% confidence interval imply?
It contains the true mean μ
What is between 𝑥̅− 0 and 𝑥̅+0.2 in 95% of all the samples?
$μ$
What happens for only 5% of all the samples?
$x ˉ$ is not within 0.2 units of $μ$
$𝜎 √𝑛$ is equal to what for this example?
$1 √100$
Learn about statistical interval estimation, which involves determining a range of values that is likely to contain the parameter of interest. This quiz covers the concept of point estimates and the calculation of confidence intervals for population parameters.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
