Statistics: Population and Sample

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What is the totality of individual observations about which inferences are to be made?

Population

What is a summary measure computed to describe a characteristic of the population?

Parameter

What is a number that describes the data from a sample?

Statistic

What is the symbol used to represent the population mean?

μ

What is the symbol used to represent the population standard deviation?

σ

What is the TRUE average age of all the 2,890 BUPCEANS?

Population Mean

What is the main objective of hypothesis testing?

To determine whether the sample data supports a hypothesis about the population

What is the purpose of the Alternative Hypothesis (Ha)?

To determine if the evidence is enough to establish that the Null Hypothesis is not true

What is the Null Hypothesis (Ho) used for?

To hypothesize 'no difference' or 'no effect'

How many types of hypotheses are formulated in hypothesis testing?

Two types: Null and Alternative Hypotheses

What is the second step in hypothesis testing?

Select the statistical analysis model to use

According to the problem objective, NULL HYPOTHESIS testing may be categorized into how many categories?

Three categories: description of a single population, comparison of two populations, and analysis of the relationship between two variables

What is a hypothesis?

An educated guess that can be tested by scientific methods

What is the null hypothesis denoted by?

Ho

What is the researcher trying to do with the null hypothesis?

Disprove it

What does the symbol μ represent in hypothesis testing?

The actual mean of the population under analysis

What is the alternative hypothesis denoted by?

H1 or HA

What does the symbol ≠ represent in hypothesis testing?

Is not equal to

As the NON REJECTION region becomes wider, what is more likely to happen to the NULL Hypothesis?

It is more likely to be supported

In a one-tailed test, where is the critical value and rejection region typically located?

In the tail where the alternate hypothesis points to

What is the direction of the inequality sign in a left-tailed test?

<

What is the main characteristic of non-parametric tests?

They are distribution-free tests

What is the main difference between parametric and non-parametric tests?

The assumption about the distribution of the data

What type of error increases as alpha decreases?

Type II error

What is the main advantage of using a two-tailed test in scientific research?

It allows researchers to detect both positive and negative effects

What happens to the critical values when the alpha level decreases?

They move closer to the mean

What is the purpose of splitting the significance level percentage between both tails of the distribution in a two-tailed test?

To detect effects in both directions

What is the relationship between the alpha level and the chance of Type I error?

As the alpha level decreases, the chance of Type I error decreases

What is the significance of a 95% level of confidence in a two-tailed test?

It means that 95% of the sample means should be in the non-rejection region

What is the primary difference between a one-tailed test and a two-tailed test?

The direction of the effect being tested

Learn about the concepts of population, sample, parameter, and statistic in statistics and their applications in statistical inference.

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