Chapter 7: Sampling Distributions Flashcards

1
Q

Sampling error

A

= I samples statistic - population parameter I

refers to the variation in sampling statistics that arise from chance alone

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2
Q

Point Esimator

A

a sample statistic that is used to estimate a population parameter

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3
Q

Sampling Distribution

A

the probability distribution of a sampling statistic

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4
Q

Standard Error

A

the standard deviation of a sampling distribution

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5
Q

Expected Value of the Sample Mean

A

= population mean

So the sample mean is a unbiased estimator of the population mean

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6
Q

“Show the Sampling Distribution”

A
  1. Expected Value
  2. Standard Error
  3. Normality
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7
Q

Central Limit Theorem

A

the sampling distribution of any statistic will be normal if the sample size is large enough

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8
Q

Normality for the Sampling Distribution of the Mean

A
  1. n ≥ 30
  2. the underlying population is normal

Must be normal to use the standard normal distribution (Z-Table)

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9
Q

Rule for Underlying Population Normality

A

Within +/- 3 time the standard error of skewness

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10
Q

Normality for the Sampling Distribution of the Proportion

A

n(p) ≥ 5 and (n)(1-p) ≥ 5

Must be normal to use the standard normal distribution (Z-Table)

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11
Q

Relationship between sample size and standard error of the mean

A

As sample size increases, standard error of the mean decreases

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12
Q

Expected Value of the Proportion

A

= population proportion

so the sample proportion is an unbiased estimator of the population proportion

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