# Statistics – Unit 9

Posted by on May 31, 2019

Unit 9

Topics:

• Learning Objectives
1. Define statistic
2. Define parameter
3. Define point estimate
4. Define interval estimate
5. Define margin of error

Degrees of Freedom link:Degrees of Freedom

• Learning Objectives
1. Define degrees of freedom
2. Estimate the variance from a sample of 1 if the population mean is known
3. State why deviations from the sample mean are not independent
4. State the general formula for degrees of freedom in terms of the number of values and the number of estimated parameters
5. Calculate s2

• Learning Objectives
1. Define bias
2. Define sampling variability
3. Define expected value
4. Define relative efficiency

Introduction to Confidence Intervals link:intro confidence Interval

• Learning Objectives
1. Define confidence interval
2. State why a confidence interval is not the probability the interval contains the parameter

• Learning Objectives
1. State the difference between the shape of the t distribution and the normal distribution
2. State how the difference between the shape of the t distribution and normal distribution is affected by the degrees of freedom
3. Use a t table to find the value of t to use in a confidence interval
4. Use the t calculator to find the value of t to use in a confidence interval

Confidence Interval for the Mean link:Confidence interval for the mean

• Learning Objectives
1. Use the inverse normal distribution calculator to find the value of z to use for a confidence interval
2. Compute a confidence interval on the mean when σ is known
3. Determine whether to use a t distribution or a normal distribution
4. Compute a confidence interval on the mean when σ is estimated

Difference between Means link:Difference Between Means

• Learning Objectives
1. State the assumptions for computing a confidence interval on the difference between means
2. Compute a confidence interval on the difference between means
3. Format data for computer analysis

• Learning Objectives
1. State why the z’ transformation is necessary
2. Compute the standard error of z’
3. Compute a confidence interval on ρ

• Learning Objectives
1. Estimate the population proportion from sample proportions
2. Apply the correction for continuity
3. Compute a confidence interval

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