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IOP2601 Assignment 2 Semester 2 Memo | Due 25 August 2025

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IOP2601 Assignment 2 Semester 2 Memo | Due 25 August 2025. All questions fully answered. QUESTION 1 [13] 1.1 _____ is a technique applied to samples in order to make inferences about populations. (1) 1.2 The single-sample t-test is used when you have a single set of scores and are investigating whether the mean of this sample equals a known mean. (1) 1.3 A scale possesses the property of equal intervals if the difference between all points on that scale is uniform. Is this statement true or false? (1) 1.4 State the type of error that occurs when a researcher rejects a null hypothesis that is actually true. (1) 1.5 What is the team used when a quantity that does not change and always has the same value? (1) 1.6 Properties of observations that can assume different values are called_____, whereas a variable that can assume any value is known as _____. (2) 1.7 Below are four variables, determine their relationships in terms of Independent or Dependent, and justify. (3) 1.8 Examine the differences or similarities between the mean, median, and mode. (3)

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, PLEASE USE THIS DOCUMENT AS A GUIDE TO ANSWER YOUR ASSIGNMENT

 QUESTION 1

1.1. _____ is a technique applied to samples in order to make inferences about populations.

Inferential statistics is a technique applied to samples in order to make inferences about populations.
It allows researchers to generalize findings from sample data to a larger population, providing a
foundation for decision-making in various fields.

1.2. The single-sample t-test is used when you have a single set of scores and are investigating
whether the mean of this sample equals a known mean.

The single-sample t-test is used when there is a single set of scores and the goal is to determine if the
mean of this sample equals a known or hypothesized mean.

1.3. A scale possesses the property of equal intervals if the difference between all points on that
scale is uniform. Is this statement true or false?

The statement that "A scale possesses the property of equal intervals if the difference between all
points on that scale is uniform" is true. This characteristic is typical of interval and ratio scales,
where the difference between values is consistent and meaningful across the scale.

1.4. State the type of error that occurs when a researcher rejects a null hypothesis that is
actually true.

The type of error that occurs when a researcher rejects a null hypothesis that is actually true is known
as a Type I error. This error represents a false positive, where the researcher incorrectly concludes
that there is an effect or difference when there is none.

1.5. What is the team used when a quantity that does not change and always has the same
value?

The term used for a quantity that does not change and always has the same value is a constant.
Constants are fixed values in an experiment or study and do not vary.

1.6. Properties of observations that can assume different values are called_____, whereas a
variable that can assume any value is known as _____.

 Properties of observations that can assume different values are called variables, while a
variable that can assume any value within a given range is known as a continuous variable.

1.7. Below are four variables, determine their relationships in terms of Independent or
Dependent, and justify.

Independent variables are those that are manipulated or categorized, while dependent variables are
those that are observed or measured to assess the effect of the independent variable.

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