WorksheetsDP SEHS Mathematical Tools (Part 2)
Total questions: 20
Worksheet time: 10mins
What does it mean if the p-value is less than or equal to 0.05 in a statistical test?
The result is statistically significant and you reject the null hypothesis.
The result is not statistically significant and you accept the null hypothesis.
The result is statistically significant and you accept the null hypothesis.
The result is not statistically significant and you reject the null hypothesis.
If the p-value is greater than 0.05, what should you do regarding the null hypothesis?
Reject the null hypothesis
Accept the null hypothesis
The result is statistically significant
Increase the sample size
According to the instructions, what should you do after watching the video on how to calculate the t-test in Excel?
Go to the 2nd sheet and practice with the provided data set.
Write a report on t-tests.
Skip to the next lesson.
Print the Excel sheet.
Based on the diagram, what can you conclude about the relationship between ice cream sales and sunburn cases?
Selling ice cream causes sunburn.
Sunburn causes people to buy more ice cream.
There is a correlation, but it does not prove that one causes the other.
There is no relationship between the two.
A researcher finds a correlation coefficient of 0.95 between two variables. Based on this value, what can be inferred about the relationship between the variables?
The relationship is weak
The relationship is strong
There is no relationship
The relationship is negative
What is the correlation coefficient (r value) for a perfect positive correlation?
1
0.5
0
-1
Which type of correlation is represented by an r value of 0?
High positive correlation
No correlation
Low negative correlation
Perfect negative correlation
What term is used when an increase in one factor is associated with an increase in another factor?
Positive correlation
Negative correlation
No correlation
Inverse relationship
A researcher finds that as study time increases, test scores also increase. What kind of correlation is this an example of?
Negative correlation
Positive correlation
No correlation
Spurious correlation
What type of correlation is present when an increase in one factor is associated with a decrease in another factor?
Positive correlation
No correlation
Negative correlation
Direct correlation
What do we call it when an increase in one factor is NOT associated with a consistent change in another factor?
Zero (or no) correlation
Positive correlation
Negative correlation
Perfect correlation
Which of the following best describes the role of regression and correlation in analyzing two random variables?
Regression gives the form of the relationship, and correlation gives the degree of strength
Regression gives the degree of strength, and correlation gives the form of the relationship
Both regression and correlation give the form of the relationship
Both regression and correlation give the degree of strength
Suppose you have calculated a correlation coefficient (r) of 0.8 between two variables. What is the coefficient of determination (r squared)?
0.64
0.16
1.6
0.8
What is the correct function to use in Excel to calculate the correlation coefficient (r value) between two data sets?
=SUM
=CORREL
=AVERAGE
=COUNT
What does the term "absolute uncertainty" refer to in a measurement?
The average value of all measurements
The ± value from your measurement
The total possible error in the experiment
The measured value itself
Why is expressing uncertainty as a percentage useful?
It makes the measurement more accurate
It allows for direct comparison across different measurements or units
It eliminates all errors in the experiment
It increases the measured value
What is the purpose of inserting a scatter plot with a trendline in data analysis?
To display the mean of the data
To show the correlation coefficient and the coefficient of determination
To calculate the standard error
To find the mode of the data
Which variable does the researcher intentionally change or control in an experiment?
Dependent variable
Control variable
Independent variable
Experimental variable
What does a t-test help us understand?
The difference between two sets of data.
The sum of all data points.
The highest value in a data set.
The standard deviation of a single data set.
What does multiplying R² by 100 give you?
The mean of the two measures
The standard deviation
The percentage of overlap between the two measures
The probability value
