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WorksheetsMAT S111 (FINAL Reviewer)
Total questions: 36
Worksheet time: 18mins
Name positive or negative correlation:
The temperature outside and the number of layers of clothes you need to stay warm.
Positive Correlation
Negative Correlation
Name the correlation in this sentence:
A runner's time and the distance to the finish line.
Negative Correlation
Positive Correlation
What type of correlation describes the following sentence:
The number of people that go the pool and the temperature outside.
Positive Correlation
Negative Correlation
A Type II error is the kind of error that happens when one fails to reject the null hypothesis when it is false.
Whether the null hypothesis is true or not is usually unknown. Thus, when performing a hypothesis test, the decision to reject or not to reject it is based on the data obtained from a sample.
Whenever the points in a scatter diagram follow approximately a straight line falling to the right, we infer that the sign of r for the two variables being plotted is negative.
If the computed value falls outside the rejection region, then the appropriate decision is to reject the null hypothesis.
The direction of a correlation can be positive or negative.
The level of significance must be set after you have calculated the test statistic.
The Pearson correlation coefficient is appropriate for all types of relationships, including linear and nonlinear.
In case of hypothesis testing for a large sample the t test statistic is used, while for a small sample the z test statistic is used.
A researcher proposes the null hypothesis as his/her suggested answer to the research question.
The test statistic is calculated using the data obtained from the sample.
In a two-tailed test, the rejection region is split and placed in both tails of the sampling distribution.
If the symbol less than ( < ) appears in the alternative hypothesis, then the test is right-tailed.
What is the primary aim of a correlational study?
To determine cause and effect
To investigate the relationship between co-variables
To test the effectiveness of an intervention
To explore participants' subjective experiences
Which of the following is an example of a positive correlation?
The more you study, the lower your grades.
The less exercise you do, the fitter you are.
The taller a person is, the larger their shoe size.
The more you eat, the fewer calories you consume.
A correlation coefficient of -0.85 suggests:
A weak positive correlation
A strong positive correlation
A strong negative correlation
No correlation
What kind of hypothesis predicts a specific direction in a correlation?
Null hypothesis
Two-tailed hypothesis
One-tailed hypothesis
Alternative hypothesis
A scattergraph with points forming an upward trend indicates:
Negative correlation
Positive correlation
No correlation
Curvilinear correlation
If the rejection region lies entirely on the left tail of the sampling distribution, then the test is a two-tailed test.
When high scores in one variable are associated with low scores in the other variable, then there is a positive correlation.
The level of significance is indeed the probability of making a type 1 error
If higher values of one variable are associated with lower values of another variable, the correlation is positive.
Which value is being described in the null and alternative hypotheses?
a population parameter
sample data
a sample statistic
Pearson's r
Which of the following is NOT used when describing a correlation between two variables?
intercept
form
Strength
direction
What hypothesis states equality or no difference, or that there is no relationship/effect between variables?
alternative hypothesis
statistical hypothesis
research hypothesis
null hypothesis
Which correlation coefficient represents the strongest relationship between two variables?
0.69
0.85
0.89
0.76
Which term denotes a graph with points plotted on a Cartesian plane to show a possible relationship between sets of data?
Line of best fit
y-intercept
Scatter Plot
Correlation Coefficient
Which value separates the critical region from the noncritical region in a normal curve when testing the hypothesis?
t-value
critical value
computed value
hypothesized population parameter
If x and y have a negative correlation, what could be said about the x and y values?
As x decreases, y decreases
As x increases, y decreases
none of these
As x increases, y increases
A team of researchers wants to determine if grades in college are related to success in a chosen field. Which is the most-appropriate statistical analysis for them to perform?
data gathering
measure of variability
regression analysis
correlation analysis
What is the beta (β) in hypothesis testing?
The probability of a Type I error
The probability of a Type II error
The power of the test
The significance level
A teacher believes that the average score of her students on a test is 80. You randomly select 5 students and their test scores are: [82, 75, 78, 84, 70] with the standard deviation of 5.59. Test if the teacher’s claim is correct at a 5% significance level.
-0.55
-0.88
-0.77
-0.66
A company claims that the average weight of their packaged cookies is 200 grams. You randomly select 30 packages and find that the average weight of the sample is 205 grams. The population standard deviation is known to be 10 grams. Test if the company’s claim is correct at a 5% significance level.
2.74
2.75
2.76
2.77
A senior high school student wanted to study the relationship between age and heart rate. However, due to limited time and resources, he was only able to survey a random sample of 5 individuals, and the following data were recorded:
Age (x) = 36 , 34 , 49 , 43 , 37
heart rate (y) = 75 , 90 , 63 , 70 , 80
What is the value of Pearson's r? Round to two decimal places.
-0.91
-0.92
-0.93
-0.94
