A study compared testosterone levels among athletes in four sports: soccer, track,
Lacrosse, and water polo. The total sample size was n =30 (10 soccer, 10 track, 5
Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the
population mean levels for the four sports. What are the numerator and denominator
degrees of freedom for the ANOVA F-test?
A) 3 for numerator and 26 for denominator.
B) 3 for numerator and 29 for denominator.
C) 10 for numerator and 30 for denominator.
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A
Feedback: The numerator degrees of freedom are found by taking the
number of group levels minus 1 (this case 4 − 1 = 3) and the denominator
degrees of freedom are found by taking the total sample size minus the
number of group levels (30 − 4 = 26)
, A study compared grade point averages (GPA) for students in a class: students were
divided by 6 locations where they usually sat during lecture (i.e. left or right front, left
or right center, left or right rear). A total sample size of 12 students was studied (2
students from each section) using one-way analysis of variance. The Error Sum of
Squares is SS Error = 50. What is the Mean Square Error (MS Error)?
A) 10.00
B) 8.33
C) 4.17
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B
Feedback: The MS Error is equal to the SS Error divided by the Error
degrees of freedom (which are equal to the total sample size minus the
number of group levels: 12 − 6 = 6). Therefore, the answer is 50/6 = 8.33
Researchers want to see if men have a higher blood pressure than women do. A study
is planned in which the blood pressures of 50 men and 50 women will be measured.
What is the most appropriate alternative hypothesis about the means of the men and
women?
A) The sample means are the same.
B) The population means are the same.
C) The sample mean will be higher for men.
D) The population mean is higher for men than for women.
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Lacrosse, and water polo. The total sample size was n =30 (10 soccer, 10 track, 5
Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the
population mean levels for the four sports. What are the numerator and denominator
degrees of freedom for the ANOVA F-test?
A) 3 for numerator and 26 for denominator.
B) 3 for numerator and 29 for denominator.
C) 10 for numerator and 30 for denominator.
Give this one a try later!
A
Feedback: The numerator degrees of freedom are found by taking the
number of group levels minus 1 (this case 4 − 1 = 3) and the denominator
degrees of freedom are found by taking the total sample size minus the
number of group levels (30 − 4 = 26)
, A study compared grade point averages (GPA) for students in a class: students were
divided by 6 locations where they usually sat during lecture (i.e. left or right front, left
or right center, left or right rear). A total sample size of 12 students was studied (2
students from each section) using one-way analysis of variance. The Error Sum of
Squares is SS Error = 50. What is the Mean Square Error (MS Error)?
A) 10.00
B) 8.33
C) 4.17
Give this one a try later!
B
Feedback: The MS Error is equal to the SS Error divided by the Error
degrees of freedom (which are equal to the total sample size minus the
number of group levels: 12 − 6 = 6). Therefore, the answer is 50/6 = 8.33
Researchers want to see if men have a higher blood pressure than women do. A study
is planned in which the blood pressures of 50 men and 50 women will be measured.
What is the most appropriate alternative hypothesis about the means of the men and
women?
A) The sample means are the same.
B) The population means are the same.
C) The sample mean will be higher for men.
D) The population mean is higher for men than for women.
Give this one a try later!
