7.4 – sampling distribution statistic: a numerical descriptive measure of a sample parameter: a...

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7.4 – Sampling Distribution Statistic : a numerical descriptive measure of a sample Parameter : a numerical descriptive measure of a population.

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Page 1: 7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population

7.4 – Sampling Distribution

Statistic: a numerical descriptive measure of a sample

Parameter: a numerical descriptive measure of a population.

Page 2: 7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population

Commonly Used…

Measure• Mean

• Variance

• Standard Deviation

• Proportion

Statisticx̅$

s2

s

p̂�

Parameterµ

ơ2

ơ

p

Page 3: 7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population

Inferences

Use samples (statistics) to make inferences about population (parameters)

Types of Inferences:1. Estimation: estimate value of population2. Testing: formulate a decision about the value

of population3. Regression: predictions or forecasts about

value of a statistical variable.

Page 4: 7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population

Sampling Distribution

Probability distribution of a sample statistic based on all possible simple random samples of the same size from the same population.

• You can use a frequency table and a histogram to show a sampling distribution.

Page 5: 7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population

Guided Ex̅ercise #9

• SKIP

Page 6: 7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population

Checkpoint

Compute the probability of “standardized events”

Find a z score from a given normal probability (inverse normal)

Use the inverse normal to solve guarantee problems

Page 7: 7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population

Homework

• Read Pages 280-285– Take notes on what we have not covered

• Do Problems – Page 285 (1-9) ALL• Check odds in back of book

• Read and preload 7.5 information– Notes/vocab