STAT Ch 1 Flashcards

0
Q

Population

A

a well-defined collection of objects

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1
Q

Data

A

collections of facts

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2
Q

Census

A

When desired information is available for all objects in the population

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3
Q

Sample

A

a subset of the population

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4
Q

Variable

A

any characteristic whose value may change from one object to another

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5
Q

univariate data set

A

consists of observations on a single variable. For example, we might determine the type of transmission, automatic (A) or manual (M), on each of ten automobiles recently purchased at a certain dealership, resulting in the categorical data set: M A A A M A A M A A

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6
Q

bivariate data

A

when observations are made on each of two variables

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7
Q

Multivariate data

A

when observations are made on more than one variable

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8
Q

descriptive statistics

A

summarizing and describing important features of the data e.g. A graph or a mean

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9
Q

Inferential statistics

A

Techniques for generalizing from a sample to a population

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10
Q

hypothetical population

A

the population as consisting of all possible data that might be made under similar experimental conditions

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11
Q

confidence interval or interval estimate

A

Estimate of the population mean

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12
Q

lower prediction bound

A

Estimate of a single data point

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13
Q

The relationship between probability and inferential statistics

A

probability reasons from the population to the sample (deductive reasoning), whereas inferential statistics reasons from the sample to the population (inductive reasoning)

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14
Q

Enumerative studies

A

interest is focused on a finite, identifiable, unchanging collection of individuals or objects that make up a population

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15
Q

Sampling frame

A

a listing of the individuals or objects to be sampled

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16
Q

Analytic study

A

A study that is not enumerative in nature

17
Q

simple random sample

A

This is a sample for which any particular subset of the specified size (e.g., a sample of size 100) has the same chance of being selected

18
Q

stratified sampling

A

entails separating the population units into nonoverlapping groups and taking a sample from each one

19
Q

Sample size

A

The number of observations in a single sample, often denoted by “n”

20
Q

Truncating

A

To make the numbers in a set all shorter by the same amount

21
Q

Dot plot

A

an attractive summary of numerical data when the data set is reasonably small or there are relatively few distinct data values. Each observation is represented by a dot above the corresponding location on a horizontal measurement scale. Whena value occurs more than once, there is a dot for each occurrence, and these dots are stacked vertically. As with a stem-and-leaf display, a dotplot gives information about location, spread, extremes, and gaps.

22
Q

Discrete

A

A numerical variable is called this if its set of possible values either is finite or else can be listed in an infinite sequence

23
Q

Continuous

A

A numerical variable is called this if its possible values consist of an entire interval on the number line.

24
Q

Frequency

A

the number of times that a value occurs in the data set

25
Q

Relative frequency

A

the fraction or proportion of times the value occurs ( number of times the value occurs/ the number of observations in the data set)

26
Q

Frequency distribution

A

a tabulation of the frequencies and/or relative frequencies

27
Q

unimodal histogram

A

A histogram that rises to a single peak and then declines

28
Q

bimodal histogram

A

A histogram that has two different peaks

29
Q

multimodal

A

A histogram with more than two peaks

30
Q

When is a histogram symmetric?

A

if the left half is a mirror image of the right half

31
Q

When is a unimodal histogram positively skewed?

A

if the right or upper tail is stretched out compared with the left or lower tail

32
Q

When is a unimodal histogram negatively skewed?

A

if the left or lower tail is stretched out compared with the right or upper tail

33
Q

qualitative

A

Categorical

35
Q

Mean

A

The arithmetic average of the set. Often referred to as the sample mean and represented by x̄.

35
Q

point estimate

A

a single number that is our “best” guess

36
Q

Population mean

A

The average of all values in the population. Denoted as μ. When there are N values in the population (a finite population), then μ= sum of the N population values/N.

38
Q

median

A

the middle value once the observations are ordered from smallest to largest. Sample median is denoted as x-tilde

38
Q

Range

A

the difference between the largest and smallest sample values

39
Q

population median

A

a middle value in the population. Denoted as μ-tilde

41
Q

deviations from the mean

A

Obtained by subtracting x̄ from each of the n sample observations. The average deviation is always zero.

42
Q

sample variance

A