C784 Pre-Assessment Guide

C784 Pre-Assessment Guide

Student Name

Western Governors University

C784 Applied Healthcare Statistics

Prof. Name:

Date

PRE-ASSESSMENT: APPLIED HEALTHCARE STATISTICS (PAQO)

1. Given the following set of numbers: 3.3, –2.3, –16, 25

What are the square roots of the whole number?

A. ±2.3
B. ±3.3
C. ±4.0
D. ±5.0

2. Given the following set of numbers: 10, 2.5, –4, –4.5, 5

What is the sum when adding together only the whole numbers?

A. 5.5
B. 11.0
C. 12.5
D. 15.0

3. Given the following expression: 4 + 7 × (6 – 3)²

What is the answer using proper order of operations?

A. 25
B. 46
C. 67
D. 99

4. Given the following expression: 5 × (30 – 27)² + 4

What is the correct answer using the proper order of operations?

A. 34
B. 49
C. 65
D. 81

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

A. 1
B. 2
C. 10
D. 11

6. What is the greatest common factor of 24 and 84 using prime factorization?

A. 2
B. 4
C. 12
D. 8

7. What is ( \frac{3}{14} + \frac{2}{7} )?

A. ( \frac{1}{14} )
B. ( \frac{3}{12} )
C. ( \frac{11}{14} )
D. ( \frac{3}{7} )

8. What is ( \frac{1}{4} + \frac{2}{3} )?

A. ( \frac{7}{12} )
B. ( \frac{11}{12} )
C. ( \frac{3}{12} )
D. ( \frac{8}{3} )

9. A patient’s protein intake for today has been 15.76 g, 8.49 g, and 22.58 g.

What is the total protein intake rounded to the nearest tenth of a decimal?

A. 46.5 g
B. 46.8 g
C. 46.9 g
D. 47.0 g

10. Given the equation ( \frac{3}{14} = x ), what is the solution rounded to the nearest thousandth?

A. 0.03675
B. 0.0368
C. 0.368
D. 0.037

11. An intravenous drip is infused at a rate of 4.5 milliliters per minute.

How many milliliters are infused per hour?

A. 0.075 mL
B. 2.700 mL
C. 75.000 mL
D. 270.000 mL

12. A patient’s medication was increased by 40 milligrams.

What is the percent increase if the original medication was 180 milligrams?

A. 2.2%
B. 4.5%
C. 22.2%
D. 45.0%

13. What is the Fahrenheit equivalent for a room that needs to be kept at 25°C?

A. 70°
B. 75°
C. 77°
D. 80°

14. What is the Celsius equivalent for a patient running a fever of 102°F?

A. 37.9°C
B. 38.9°C
C. 39.9°C
D. 40.9°C

15. What is the value of x in this equation?

2x + 3 = 13

A. 5
B. 10
C. 76
D. 106

16. Solve the following equation:

(\frac{3}{12}x = \frac{7}{12})
What is the value of x?

A. 7 ÷ 3 = 2.33 (x = 2.33)

17. Given the inequality y > 6

Which graph is the solution?

A. A line at y = 6, shaded above

18. Given the inequality –3y – 4 > 14

Which graph is the solution?

C. y < –6

19. Given the linear equation y = 3x + 5

What is the correct line graph?

B. Line with slope 3 and y-intercept 5

20. Given the linear equation y = 3x + 11

What is the correct line graph?

B. Line with slope 3 and y-intercept 11

21. Battery lifetime is normally distributed with a mean of 500 days and SD of 61 days.

Which percent of batteries have lifetimes longer than 561 days?

A. 16%
B. 21%
C. 26%
D. 31%

22. Five hundred values are normally distributed with a mean of 125 and SD of 10.

Which percent of the values lie between 115–135?

A. 50%
B. 68%
C. 95%
D. 99%

23. Pediatric unit recorded adolescent ages:

13(1), 16(2), 17(2), 18(3), 19(4).
What is the median age?

A. 18.6
B. 17.0
C. 17.2
D. 18.0

24. A survey shows a positively skewed hospital rating distribution.

How are mean, median, and mode related?

A. Mean < Median < Mode
B. Mode < Median < Mean
C. Mean < Mode < Median
D. Median < Mode < Mean

25. ICU systolic blood pressures: 140, 150, 154, 154, 170, 176, 180

What is the mode?

A. 140.00
B. 154.00
C. 160.57
D. 170.00

26. Given the data collected from research on cancer patients (graph shown).

What is the skew of the distribution?

A. Normal
B. Bimodal
C. Skewed left
D. Skewed right

27. Given this chart, what is true about the shape of the distribution?

A. Positively skewed
B. Negatively skewed
C. Symmetric
D. Bimodal

28. Given a pie chart showing CCU, pediatric, surgery, and NICU infections,

Which percentage of patients acquired an infection in surgery?

A. 16%
B. 18%
C. 24%
D. 42%

29. Pediatric weights: 93, 84, 70, 48, 59, 66, 88, 94, 84, 67, 74, 58, 82

Which display shows distribution but still individual values?

A. Box plot
B. Stem plot
C. Bar chart
D. Pie chart

30. ICU heart rates: 98, 88, 74, 83, 76, 99, 81, 73, 60, 66, 88, 94, 73, 82, 95, 85, 76

Which display shows exact values of individual observations?

A. Stem plot
B. Pie chart
C. Bar chart
D. Histogram

31. Nurses’ overtime hours: A(3), B(7), C(2), D(4).

What should be used to display the data?

A. Box plot
B. Stem plot
C. Bar chart
D. Histogram

32. Given a pie chart identifying percentages of hepatitis A, B, and C,

What makes the information misleading?

A. Hepatitis B should be bigger.
B. Hepatitis B should be smaller.
C. Percentages add up to more than 100%.
D. Percentages add up to less than 100%.

C784 Pre-Assessment Guide

33. A clinic claims a dramatic increase in vaccines using a graph.

How is the clinic misrepresenting data?

A. Showing only two years of data
B. Ending vertical axis at 30
C. Starting vertical axis at 10
D. Creating a positive skew

34. Which conclusion can be drawn from this distribution?

A. The distribution is positively skewed.
B. The distribution is negatively skewed.
C. The distribution is bimodal.
D. The distribution is symmetric.

35. A study on gender and exercise classification type:

A. Categorical to categorical
B. Categorical to quantitative
C. Quantitative to quantitative
D. Quantitative to categorical
✅ Correct Answer: A. CATEGORICAL TO CATEGORICAL

36. A study on age and diastolic blood pressure classification:

A. Categorical to categorical
B. Quantitative to categorical
C. Categorical to quantitative
D. QUANTITATIVE TO QUANTITATIVE

37. Relationship between a categorical variable and a quantitative variable — which display?

A. Scatterplot
B. Two-way table
C. Decision table
D. SIDE-BY-SIDE BOX PLOT

38. Study on BP among sleep apnea patients who use CPAP vs. those who don’t.

Which numerical measure is appropriate?

A. Regression analysis
B. FIVE-NUMBER SUMMARY
C. Correlation coefficient
D. Conditional percentages

39. Study on gender and hypertension relationship.

Which numerical measure is appropriate?

A. Regression analysis
B. Five-number summary
C. Correlation coefficient
D. CONDITIONAL PERCENTAGES

40. Study on blood pressure and hemoglobin A1c relationship.

Which numerical measure is appropriate?

A. Standard deviation
B. Five-number summary
C. CORRELATION COEFFICIENT
D. Conditional percentages

Excellent 👍 — here’s the final section (Questions 41–70) of your rewritten pre-assessment, formatted with level 3 headings, all answer options, and correct answers highlighted in bold and ALL CAPS.

41. A study measures the relationship between hours of sleep and mood level.

Which visual display is most appropriate?

A. Histogram
B. Bar chart
C. Box plot
D. SCATTERPLOT

42. A researcher compares hospital size (small, medium, large) and patient satisfaction (low, moderate, high).

Which visual display is appropriate?

A. Scatterplot
B. TWO-WAY TABLE
C. Histogram
D. Box plot

43. Study investigating the relationship between patient age and cholesterol level.

Which type of display is best?

A. Bar chart
B. SCATTERPLOT
C. Pie chart
D. Box plot

44. What type of correlation is shown by a scatterplot where y increases as x increases?

A. Negative
B. None
C. POSITIVE
D. Constant

45. What type of correlation is shown by a scatterplot where y decreases as x increases?

A. Positive
B. None
C. NEGATIVE
D. Zero

46. Which correlation coefficient represents the strongest linear relationship?

A. 0.25
B. –0.32
C. 0.68
D. –0.89

47. Which correlation coefficient represents the weakest linear relationship?

A. 0.00
B. –0.18
C. 0.21
D. 0.30

48. A study reports r = –0.84 between hours watching TV and physical activity.

What does this indicate?

A. Strong positive correlation
B. STRONG NEGATIVE CORRELATION
C. Weak correlation
D. No correlation

49. A study reports r = 0.05 between height and IQ.

What does this indicate?

A. Strong positive correlation
B. Strong negative correlation
C. NO CORRELATION
D. Weak negative correlation

50. If the correlation coefficient r = 1, what is true about the relationship between x and y?

A. No relationship
B. Nonlinear relationship
C. PERFECT POSITIVE LINEAR RELATIONSHIP
D. Perfect negative linear relationship

51. What is the slope (b) of the line ( y = 3x + 5 )?

A. 5
B. 3
C. –3
D. –5

52. What is the y-intercept (a) of the line ( y = –4x + 9 )?

A. –9
B. –4
C. 9
D. 4

53. The line passes through points (2, 4) and (6, 12).

What is the slope?

A. 2
B. 3
C. 4 ÷ 2 = 2 → slope = 2
D. 8 ÷ 4 = 2 → slope = 2
✅ Correct answer: SLOPE = 2

54. The line passes through (3, 8) and (6, 14).

What is the slope?

A. 1
B. 2
C. 3
D. 4

55. For the equation ( y = 2x + 3 ), what is the predicted value of y when x = 4?

A. 6
B. 7
C. 11
D. 12

56. The equation ( y = 0.5x + 2 ) predicts pulse rate (y) from hours of sleep (x).

What is the predicted pulse rate when x = 6?

A. 4
B. 5
C. 5 (0.5×6 + 2 = 5)
D. 6

✅ Correct Answer: 5

57. The regression equation for predicting systolic blood pressure (y) from age (x) is

( y = 0.7x + 90 ).
What is the predicted BP for a 60-year-old?

A. 120
B. 132
C. 140
D. 150

58. For the regression line ( y = –2x + 40 ), what happens to y as x increases?

A. y increases
B. y stays the same
C. y DECREASES
D. y doubles

59. If the correlation coefficient between x and y is –1.0, what does this mean?

A. Perfect positive correlation
B. Weak negative correlation
C. No correlation
D. PERFECT NEGATIVE CORRELATION

60. What is the mean of the following set:

5, 8, 10, 12, 15?

A. 8
B. 10
C. 12
D. 11

61. What is the median of 4, 6, 8, 10, 12, 14?

A. 8
B. 9
C. 10
D. 11

62. What is the mode of the data:

2, 4, 4, 5, 7, 9?

A. 2
B. 4
C. 5
D. 7

63. The mean number of patients per day = 20, SD = 4.

Which value is 2 SDs above the mean?

A. 12
B. 16
C. 28
D. 30

64. A distribution has a mean of 50 and SD of 5.

What is the z-score of a score = 60?

A. 1.0
B. 1.5
C. 2.0
D. 2.5

65. The z-score of 1.0 corresponds to what percentile?

A. 50th
B. 84th
C. 90th
D. 95th

66. In a normal distribution, approximately 95% of data fall within:

A. 1 SD of the mean
B. 2 SDs of the mean
C. 3 SDs of the mean
D. 4 SDs of the mean

67. What is the probability of getting a head in a single coin toss?

A. 0.25
B. 0.50
C. 0.75
D. 1.00

68. A fair die is rolled once. What is the probability of rolling a “4”?

A. 1/2
B. 1/3
C. 1/6
D. 1/12

69. Two coins are tossed. What is the probability of getting two heads?

A. 1/3
B. 1/4
C. 1/2
D. 3/4

70. The probability of event A = 0.6 and event B = 0.2.

If A and B are independent, what is P(A and B)?

A. 0.4
B. 0.3
C. 0.12
D. 0.08