Statistics 200 Objectives:

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Presentation transcript:

Statistics 200 Objectives: Lecture #22 Thursday, November 3, 2016 Textbook: 10.1 through 10.4, 11.1 though 11.5 Objectives: • Identify the correct CI approach for all the various situations we have studied. • Construct and interpret any CI correctly.

Confidence Interval Formula: Case #1 sample estimate ± (multiplier × standard error) Which situation characterizes case #1? single proportion single mean difference of two proportions difference of two means mean difference of paired observations Textbook reference: Section 10.2

Confidence Interval Formula: Case #2 sample estimate ± (multiplier × standard error) Which situation characterizes case #2? single proportion single mean difference of two proportions difference of two means mean difference of paired observations Textbook reference: Section 10.3

Confidence Interval Formula: Case #3 sample estimate ± (multiplier × standard error) Which situation characterizes case #3? single proportion single mean difference of two proportions difference of two means mean difference of paired observations Textbook reference: Section 11.2

Confidence Interval Formula: Case #4 sample estimate ± (multiplier × standard error) Which situation characterizes case #4? single proportion single mean difference of two proportions difference of two means mean difference of paired observations Textbook reference: Section 11.3

Confidence Interval Formula: Case #5 sample estimate ± (multiplier × standard error) Which situation characterizes case #5? single proportion single mean difference of two proportions difference of two means mean difference of paired observations Textbook reference: Section 11.4

About the multiplier in a CI: sample estimate ± (multiplier × standard error) Suppose the confidence level is 95%, and study the picture. Which percentile is the z* or t* value? (Hint: It’s NOT the 95th or 5th percentile!)

About the multiplier in a CI: sample estimate ± (multiplier × standard error) Suppose the confidence level is 98%. Which percentile is the z* or t* value? 95th 96th 97th 98th 99th

About the multiplier in a CI: sample estimate ± (multiplier × standard error) Should you use a z* or a t* multiplier? One proportion or diff of two proportions: z* One mean or diff of two means, σ known: z* One mean or diff of two means, σ unknown: t* (mean of paired differences: same as one mean)

Some Minitab output: Descriptive Statistics: tvhours Variable owngun N Mean SE Mean StDev No 606 3.0413 0.0986 2.4285 Yes 450 2.6822 0.0850 1.8030 Which is the correct confidence interval formula for this situation?

Some Minitab output: sex Count Female 921 Male 685 N= 1606 Which is the correct confidence interval formula for this situation?

Some Minitab output: Variable N Mean SE Mean StDev GPAgoal 288 3.6240 0.0157 0.2669 GPApred 288 3.4636 0.0174 0.2945 GoalMinusPred 288 0.16046 0.00991 0.16818 Which is the correct confidence interval formula for this situation?

Some Minitab output: Descriptive Statistics: PrtyMnth Variable Gender N Mean SE Mean StDev Female 157 7.675 0.575 7.211 Male 129 5.430 0.422 4.791 Which is the correct confidence interval formula for this situation?

Some Minitab output: Rows: HaveDog Columns: HaveCat No Yes All No 105 28 133 Yes 110 45 155 All 215 73 288 Which is the correct confidence interval formula for this situation?

Some Minitab output: Variable N Mean SE Mean StDev StudHrWk 288 13.554 0.553 9.387 Which is the correct confidence interval formula for this situation?

If you understand today’s lecture… 10.70, 10.71, 10.75, 10.85, 11.68, 11.69, 11.74, 11.75, 11.81, 11.83 Objectives: • Identify the correct CI approach for all the various situations we have studied. • Construct and interpret any CI correctly.