Prob & Stats Chapter 8 Test: Estimating a Parameter

Front

Increasing the sample size __________ the confidence interval.

Back

decreases

Front

What is the definition for a critical value for a C% confidence interval of a population proportion?

Back

The critical value (z*) is a multiplier that makes the interval wide enough to have the stated capture rate. You can use the Normal Distributions Applet to find z*.

Front

Find the Standard Error for a sample mean of 105.2 with a standard deviation of 10 and a sample size of 75.

Back

1.155

Front

What is the point estimate and margin of error for a 96% confidence interval of 3.29 to 3.94?

Back

None of these is correct.

Front

The symbol for the sample proportion is __________.

Back

p̂

Front

What does a confidence interval represent in statistics?

Back

A confidence interval provides a range of values that is likely to contain the population parameter with a specified level of confidence.

Front

What is the formula for calculating the Standard Error (SE) of the sample mean?

Back

SE = σ / √n, where σ is the population standard deviation and n is the sample size.

Front

What does the term 'margin of error' refer to in the context of confidence intervals?

Back

The margin of error is the range of values above and below the point estimate that defines the confidence interval.

Front

What is the relationship between confidence level and the width of a confidence interval?

Back

As the confidence level increases, the width of the confidence interval also increases.

Front

What is the purpose of the Large Counts condition in statistics?

Back

The Large Counts condition ensures that the sample size is large enough for the sampling distribution of the sample proportion to be approximately normal.