BSCS 1A - GEC 4 - FINAL EXAMINATION

What is Correlation?

• • A) A measure of the highest value in a data set.

• B) A statistical measure that expresses the extent to which two variables are linearly related.

• • C) A method to determine the mean of two variables.

• • D) A type of graph used to plot data points.

Which of the following is an example of a positive linear relationship?

• • A) The number of hours worked and the amount of fatigue felt.

• B) The total number of years of school completed and average annual salary.

• • C) The speed of a car and the time it takes to stop.

• • D) The temperature outside and the number of layers of clothing worn.

What does a Scatter Plot represent?

• • A) The probability distribution of a data set.

• B) A graph of the ordered pairs (x,y) consisting of data from two data sets.

• • C) The difference between expected and observed values.

• • D) A pie chart showing the percentage breakdown of a variable.

What is the Correlation Coefficient?

• • A) A coefficient that determines the nonlinearity of a relationship.

• B) A number that describes how close to a linear relationship there is between two variables.

• • C) A measure of the central tendency of a data set.

• • D) The slope of the line in a scatter plot.

What is the purpose of testing a hypothesis in statistics?

• a. To prove a theory without doubt

• b. To test an assumption regarding a population parameter

• c. To calculate the mean of a sample

• d. To summarize data from a population

What does a statistical hypothesis represent?

• a. A known fact about a sample

• b. A prediction for future experiments

• c. A claim about one or more population parameters

• d. The outcome of a statistical test

Which of the following best defines a population in statistics?

• a. A group of samples taken from a larger dataset

• b. The total number of observations in a given study

• c. The total number of people, animals, or things under consideration

• d. A subset of data used for analysis

What is a null hypothesis?

• a. A statement that there is a significant difference between groups

• b. A statement of what is being investigated, assuming no effect or difference

• c. A hypothesis that is always true

• d. The opposite of the alternative hypothesis

What is an alternative hypothesis?

• a. The hypothesis that is accepted by default

• b. The hypothesis that is contrary to the null hypothesis

• c. A statement that there is no difference or effect

• d. A hypothesis that cannot be tested

In the context of the provided PDF, what does a t-value of 0.11555 indicate?

• a. There is a significant difference between the groups

• b. There is no significant difference between the groups

• c. The null hypothesis is rejected

• d. The alternative hypothesis is rejected