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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:

WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:

1. In a class of 40 students, the following data were collected on their favorite sport:
* Soccer: 10 students
* Basketball: 15 students
* Tennis: 5 students
* Swimming: 10 students
What is the relative frequency of students whose favorite sport is not basketball?

A) 0.25
B) 0.50
C) 0.625
D) 0.75

2. A class of 25 students includes 10 who play soccer, 8 who play basketball, and 7 who play neither sport.
What is the probability of randomly selecting a student who does not play soccer?

A) .30
B) .50
C) .40
D) .60

3. A marketing analyst is studying the relationship between customer age groups, teens, adults, and seniors, and their preferred shopping methods, online and in-store.
Which numerical measure is most appropriate for this study?

A) Mean difference
B) Conditional percentages
C) Five-number summaries
D) Correlation coefficient

4. A hospital analyzes the recovery rates of patients undergoing two different treatments for a specific condition.
Treatment X has an overall recovery rate of 80%, while Treatment Y has a recovery rate of 90%. However, when the data is divided by age groups, Treatment X has a higher recovery rate in each age group compared to Treatment Y.
Is Simpson's paradox present in this study?

A) Yes, because the recovery rates differ between the two treatments.
B) Yes, because the overall recovery rates are inconsistent with the age group-specific rates.
C) No, because the study does not involve a confounding variable that affects recovery rates.
D) No, because the overall recovery rate is higher for Treatment Y.

5. A t-distribution is used when:

A) # known, large sample
B) # unknown, small sample
C) Data continuous
D) Population categorical

Solutions: