Interpreting Confidence Intervals, Point of Estimate & M.O.E

What is the format for interpreting a confidence interval? 

• The interval from ___ to ___ captures the true mean in context.
• C% of samples of the same size taken from the same population will capture the parameter in question
• There is convincing evidence that C% gives the interval (___, ___) capturing the parameter in question.
• We are C% confident that the interval from ___ to ___ captures the [parameter in context].

Tags

CCSS.HSS.IC.B.4

The ______________________ of an estimate describes how far, at most, we expect the estimate to vary from the true population value. That is, in a C % confidence interval, the distance between the point estimate and the true parameter value will be less than the margin of error in C % of all samples.

• sample size

• margin of error

• confidence level

• confidence interval

Tags

CCSS.HSS.IC.B.4

What is the point estimator for the interval (-5 , 13)?

• 10

• 9.5

• 9

• -5

Tags

CCSS.HSS.IC.B.4

The admissions director from PSU found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.

Comment on whether each of the following explanations is correct.

This interval was constructed using a method that captures the true mean in 95% of all possible samples.

• Correct

• Incorrect

Tags

CCSS.HSS.IC.B.4

Which of the following is the definition of a "point estimate?"

• The average of a population.

• The average of a sample.

• The midpoint of a confidence interval.

• The confidence interval.

Tags

CCSS.HSS.IC.B.4

A __________ gives an interval of plausible values for the _____________. 

• confidence interval, statistic
• point estimate, parameter
• point estimate, statistic
• confidence interval, parameter

To interpret a C% confidence interval for an unknown parameter, say...

• “We are C% confident the answer is (parameter in context)."

• "We are C% the true parameter will be ___."

• "We are C% confident that the interval from ____ to _____ captures the (parameter in context)."

Tags

CCSS.7.SP.C.5

True or False:

The larger your confidence interval is, the more sure (higher confidence level) you can be.

• True

• False

Tags

CCSS.HSS.IC.B.4

A population has a standard deviation of σ = 17.3. How large of a sample must be drawn so that a 95% confidence interval for µ will have a Margin of Error equal to 1.4?

• 586.6

• 587

• 586

• 585

Tags

CCSS.HSS.IC.B.4

The amount added and subtracted to the statistic.

• Margin of Error

• Confidence Interval

• Z Score

• Population

Tags

CCSS.HSS.IC.B.4