C784 Pre-Assessment Guide

Student Name

Western Governors University 

C784 Applied Healthcare Statistics

Prof. Name

Date

1. Square Roots of Whole Numbers in a Given Set

Question: Given the following set of numbers: 3.3, –2.3, –16, 25, what are the square roots of the whole numbers?

Answer: The whole numbers in the set are –16 and 25. The square root of 25 is ±5.0, but –16 is a negative whole number and does not have a real square root.

Correct answer: ±5.0

2. Sum of Whole Numbers in a Set

Question: Given the following set of numbers: 10, 2.5, –4, –4.5, 5, what is the sum when adding only the whole numbers?

Answer: The whole numbers are 10, –4, and 5.

Sum = 10 + (–4) + 5 = 11

Correct answer: 11.0

3. Evaluating Expressions Using Order of Operations

Question: Given the expression: 4 + 7 × (6 – 3)², what is the answer using proper order of operations?

Answer:

Step 1: Calculate inside parentheses: (6 – 3) = 3
Step 2: Square the result: 3² = 9
Step 3: Multiply: 7 × 9 = 63
Step 4: Add: 4 + 63 = 67

Correct answer: 67

4. Order of Operations in Complex Expressions

Question: Given the expression: 5 × (30 – 27)² + 4, what is the correct answer?

Answer:

Step 1: Calculate inside parentheses: 30 – 27 = 3
Step 2: Square the result: 3² = 9
Step 3: Multiply: 5 × 9 = 45
Step 4: Add: 45 + 4 = 49

Correct answer: 49

5. Greatest Common Factor (GCF) Using Prime Factorization

Question: What is the greatest common factor of 132 and the square root of 121 using prime factorization?

Answer:

• 132 factors: 2² × 3 × 11

• √121 = 11

• GCF = 11

Correct answer: 11

6. Greatest Common Factor of 24 and 84 Using Prime Factorization

Question: What is the greatest common factor of 24 and 84?

Answer:

• 24 factors: 2³ × 3

• 84 factors: 2² × 3 × 7

• Common factors: 2² × 3 = 12

Correct answer: 12

9. Total Protein Intake Rounded to Nearest Tenth

Question: A patient’s protein intake for today has been 15.76 g, 8.49 g, and 22.58 g. What is the total intake rounded to the nearest tenth?

Answer:

Total = 15.76 + 8.49 + 22.58 = 46.83 g
Rounded to nearest tenth: 46.8 g

Correct answer: 46.8 g

11. Intravenous Drip Infusion Rate Per Hour

Question: An intravenous drip is infused at 4.5 milliliters per minute. How many milliliters are infused per hour?

Answer:

4.5 mL/min × 60 min/hour = 270 mL/hour

Correct answer: 270.000 mL

12. Percent Increase in Medication Dosage

Question: A patient’s medication was increased by 40 milligrams from an original dose of 180 milligrams. What is the percent increase?

Answer:

Percent increase = (Increase ÷ Original) × 100
= (40 ÷ 180) × 100 = 22.2%

Correct answer: 22.2%

13. Converting Celsius to Fahrenheit

Question: What is the Fahrenheit equivalent for a room temperature of 25°C?

Answer:

F = (C × 9/5) + 32
F = (25 × 9/5) + 32 = 77°F

Correct answer: 77°

14. Converting Fever Temperature to Celsius

Question: What is the Celsius equivalent for a fever of 102°F?

Answer:

C = (F – 32) × 5/9
C = (102 – 32) × 5/9 ≈ 38.9°C

Correct answer: 38.9°C

15. Solving Simple Algebraic Equation

Question: What is the value of x in the equation 2x + 3 = 13?

Answer:

2x = 13 – 3 = 10
x = 10 ÷ 2 = 5

Correct answer: 5

24. Relationship Between Mean, Median, and Mode in Positively Skewed Data

Question: In a positively skewed distribution, how are the mean, median, and mode related?

Answer:

In a positive skew, the order is: Mode < Median < Mean

25. Mode of Blood Pressure Measurements

Question: A patient’s systolic blood pressure readings are 140, 150, 154, 154, 170, 176, 180. What is the mode?

Answer:

Mode is the most frequent value: 154

26. Skewness in Cancer Patient Data Distribution

Question: What is the skew of the distribution in cancer patient data?

Answer:

The distribution is skewed right (positively skewed).

27. Interpretation of Distribution Shape from a Chart

Question: What is true about the distribution shape based on the chart?

Answer:

The distribution is positively skewed.

28. Percentage of Infections in Surgery Department

Question: According to the pie chart showing CCU, pediatric, surgery, and NICU, what percentage of patients acquired infection in surgery?

29. Best Data Display Method for Children’s Weights

Question: Which method should be used to display distribution and individual values of weights?

Answer:

A stem plot effectively shows both distribution and individual data points.

30. Display to Show Exact Heart Rate Values

Question: Which display is appropriate to show exact values of heart rates recorded?

Answer:

A stem plot is suitable to see exact individual observations.

31. Data Display for Hours of Nurse Overtime

Question: Which display method is appropriate for showing hours of overtime worked?

Answer:

A bar chart effectively displays this small set of categorical data.

32. Misleading Aspect of Hepatitis Pie Chart

Question: What causes the hepatitis pie chart to be misleading?

Answer:

The percentages add up to more than 100%, which is not possible.

33. Misrepresentation of Vaccine Data by Clinic

Question: How is the clinic misrepresenting data regarding vaccine increase?

Answer:

By showing only two years of data, exaggerating the trend.

34. Conclusion from a Distribution Shape

Question: What conclusion can be drawn about the distribution shape?

Answer:

The distribution is positively skewed.

35. Classification of Gender and Exercise Type Study

Question: What type of classification is a study on the relationship between gender and exercise type?

Answer:

Categorical to categorical.

36. Classification of Age and Diastolic Blood Pressure Study

Question: What type of classification is a study on age and diastolic blood pressure?

Answer:

Quantitative to quantitative.

37. Appropriate Graph for Categorical and Quantitative Variable Study

Question: Which graphical display is appropriate for a study involving a categorical and quantitative variable?

Answer:

Side-by-side box plots.

38. Numerical Measure for Blood Pressure Study in Sleep Apnea Patients

Question: Which numerical measure is appropriate?

Answer:

Five-number summary.

39. Numerical Measure for Gender and Hypertension Study

Question: Which numerical measure is appropriate?

Answer:

Conditional percentages.

40. Numerical Measure for Blood Pressure and Hemoglobin A1c Study

Question: Which numerical measure is appropriate?

Answer:

Correlation coefficient.

41. Relationship Between Smoking and Lung Cancer Data

Question: What do the data indicate about smoking and lung cancer?

Answer:

Smokers are more likely than nonsmokers to have lung cancer because 77% is greater than 22%.

42. Survival Rate Comparison Between Two Hospitals

Question: What is true about surgery survival rates?

Answer:

Hospital B has a higher survival rate because 98% is higher than 97%.

43. Patient Preference for Physician Attire

Question: What is true about patient preference for physician attire?

Answer:

Patients prefer scrubs over casual clothes and white coats because 65% > 17%.

44. Scatterplot Description of Distribution and Relationship

Question: What accurately describes the scatterplot?

Answer:

Strong, linear relationship.

45. Scatterplot Relationship Description

Question: What accurately describes the scatterplot?

Answer:

Weak, linear relationship.

46. Impact of Outlier on Scatterplot Relationship

Question: How does an outlier affect the relationship?

Answer:

It weakens the positive relationship.

47. Effect of Removing an Outlier on Scatterplot

Question: What effect would removing an outlier have?

Answer:

It would strengthen a positive relationship.

48. Outlier in Work Days Missed

Question: Which workday count contains an outlier?

Answer:

10 days.

55. Probability of Non-Male Physician Assignment

Question: A pediatric practice has six physicians; four are male. What is the probability that a newborn is assigned a non-male physician?

56. Anxiety Score From Regression Equation and Scatterplot

Question: What is the anxiety score for someone practicing yoga 3 hours per day, 2 days per week?

Answer:

Approximately 10.

57. Probability of Heads on Fair Coin Flip

Question: What is the probability of getting heads on a fair coin flip?

Answer:

0.5 or 50%.

58. Relative Frequency of Wound Care in Survey

Question: Given 25 patients prefer wound care out of 100, what is the relative frequency?

Answer:

0.25 or 25%.

59. Probability of Exactly Two Heads in Three Coin Flips

Question: What is the probability of getting exactly two heads in three flips?

Answer:

0.375 or 3/8.

60. Probability of Drawing a Red Ball Second

Question: Given two draws without replacement, what is the probability the second ball is red?

Answer:

0.33 or 1/3.

61. Possible Baby Sex Outcomes for Three Pregnant Women

Question: What are the possible combinations of baby sex for three women?

Answer:

There are 8 possible outcomes: MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF.

62. Relationship Between Elevated Temperature and High Cholesterol

Question: What is true about the relationship?

Answer:

The variables are independent.

63. Probability of Both Influenza and Appendicitis in Cold Climates

Question: What is the probability of both?

Answer:

Approximately 5%.

64. Probability of Running or Joining Gym

Question: What is the probability of either running outside or joining a gym?

Answer:

0.60 or 60%.

65. Calculating Probability of Diabetes or Heart Disease

Answer:

P(D or H) = P(D) + P(H) – P(D and H) = (7/27) + (9/27) – (3/27) = 13/27 ≈ 0.48

66. Probability None of 8 Patients Have High Blood Pressure

Answer:

P(none) = (1 – 0.63)^8 = 0.37^8

67. Probability of Primary or Specialty Care

Answer:

P(primary or specialty) = (300/625) + (225/625) – (100/625) = 425/625 = 0.68

68. Probability Patient Has Both Medicare and Medicaid

Answer:

P = 0.35 × 0.10 = 0.035 or 3.5%

69. Conditional Probability of Virus A Given Virus B

Answer:

P(A|B) = 0.1062 / 0.18 ≈ 0.59 or 59%

70. Probability of Both Sore Throat and Itchy Eyes

Answer:

P(both) = 0.36 × 0.51 = 0.1836 or 18.36%

C784 Pre-Assessment Guide

References

American Psychological Association. (2020). Publication manual of the American Psychological Association (7th ed.). https://doi.org/10.1037/0000165-000