Nursing Elites

1. When the sampling distribution of means is plotted, which of the following is true?

• A. The distribution is approximately normal.
• B. The distribution is positively skewed.
• C. The distribution is negatively skewed.
• D. There is no predictable shape to the distribution.

Correct answer: A

Rationale: When the sampling distribution of means is plotted, the distribution tends to be approximately normal, especially as the sample size increases. This phenomenon is described by the Central Limit Theorem, which states that the sampling distribution of the sample mean will be normally distributed regardless of the shape of the original population distribution as long as the sample size is sufficiently large. Choices B and C are incorrect because sampling distributions of means are not skewed. Choice D is incorrect because there is a predictable shape to the distribution, which is approximately normal.

2. A quantity increases from 40 to 60. Express this increase as a percentage.

• A. 26%
• B. 50%
• C. 35%
• D. 12%

Correct answer: B

Rationale: To calculate the percentage increase, use the formula: Percentage Increase = ((New Value - Original Value) / Original Value) x 100 Substitute the values: ((60 - 40) / 40) x 100 = (20 / 40) x 100 = 0.5 x 100 = 50% Therefore, the correct answer is 50%. Choice A (26%) is incorrect as the percentage increase is not 26%. Choice C (35%) is incorrect as the percentage increase is not 35%. Choice D (12%) is incorrect as the percentage increase is not 12%.

3. How many kilometers is 4382 feet?

• A. 1.336 kilometers
• B. 14.376 kilometers
• C. 1.437 kilometers
• D. 13.336 kilometers

Correct answer: A

Rationale: To convert feet to kilometers, you need to divide the number of feet by 3280.84 (the number of feet in a kilometer). Therefore, 4382 feet is equal to 4382/3280.84 ≈ 1.336 kilometers. Choice B, 14.376 kilometers, is incorrect as it seems to be a miscalculation. Choice C, 1.437 kilometers, is also incorrect, as it is slightly off from the correct conversion. Choice D, 13.336 kilometers, is significantly higher than the correct answer and does not align with the conversion factor.

4. Simplify the following expression: 1.034 + 0.275 - 1.294

• A. 0.015
• B. 0.15
• C. 1.5
• D. -0.15

Correct answer: A

Rationale: To simplify the expression, begin by adding 1.034 and 0.275, which equals 1.309. Then, subtract 1.294 from the sum: 1.309 - 1.294 = 0.015. Therefore, the correct answer is 0.015. Choice B (0.15) is incorrect as it does not reflect the accurate calculation. Choice C (1.5) is incorrect as it is not the correct result of the expression simplification. Choice D (-0.15) is incorrect as it represents a different value than the correct outcome of the expression simplification.

5. How do you find the radius of a circle when given the diameter? How do you find the radius of a circle when given the circumference?

• A. Radius = Diameter ÷ 2; Radius = Circumference ÷ 2π
• B. Radius = Diameter ÷ 3; Radius = Circumference ÷ π
• C. Radius = Diameter × 2; Radius = Circumference × 2π
• D. Radius = Diameter ÷ 4; Radius = Circumference ÷ π

Correct answer: A

Rationale: The correct way to find the radius of a circle when given the diameter is by dividing the diameter by 2 to get the radius (Radius = Diameter ÷ 2). When given the circumference, you need to divide the circumference by 2π to find the radius (Radius = Circumference ÷ 2π). Choice A provides the accurate formulas for finding the radius in both scenarios. Choices B, C, and D present incorrect formulas that do not align with the correct calculations for determining the radius of a circle based on the given information.

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