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. In a study measuring the average hours worked per week by different types of hospital staff (such as nurses and physicians), what are the dependent and independent variables?

• A. The dependent variable is Nurses. The independent variable is Physicians.
• B. The dependent variable is Physicians. The independent variable is Nurses.
• C. The dependent variable is Hospital Staff. The independent variable is Average hours worked per week.
• D. The dependent variable is Average hours worked per week. The independent variable is Hospital Staff.

Correct answer: D

Rationale: In this study, the dependent variable is the 'Average hours worked per week,' as it relies on the different types of 'Hospital Staff' (the independent variable). The amount of time worked per week varies based on the category of staff being considered. Therefore, the correct choice is D. Choices A and B incorrectly assign the dependent and independent variables to specific staff categories (Nurses and Physicians), which are actually different elements within the study. Choice C incorrectly defines the dependent variable as 'Hospital Staff,' when in fact, it is the 'Average hours worked per week' that is dependent on the type of staff.

3. A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?

• A. $316
• B. $431
• C. $451
• D. $527

Correct answer: D

Rationale: To find the original price of the recliner, you need to reverse calculate. Let x be the original price. The sale price is 70% of the original price, and after the additional 25% coupon discount, the consumer pays $237. Setting up the equation: x × 0.70 × 0.75 = 237. Solving this equation, x ≈ $527. Therefore, the original price of the recliner was approximately $527. Choices A, B, and C are incorrect as they do not align with the correct calculation based on the given discounts.

4. If you have a rectangle with a width of 5 inches and a length of 10 inches and scale it by a factor of 2, what will the new perimeter be?

• A. 30 inches
• B. 40 inches
• C. 60 inches
• D. 50 inches

Correct answer: C

Rationale: When a rectangle is scaled by a factor of 2, both the length and width are multiplied by 2. The new dimensions become width = 5 * 2 = 10 inches and length = 10 * 2 = 20 inches. Therefore, the new perimeter is calculated as 2 * (10 + 20) = 60 inches. Choice A, B, and D are incorrect as they do not reflect the correct calculation based on scaling the dimensions of the rectangle.

5. Express the solution to the following problem in decimal form:

• A. 0.042
• B. 84%
• C. 0.84
• D. 0.42

Correct answer: C

Rationale: The correct answer is C: 0.84. To convert a percentage to a decimal, you divide the percentage value by 100. In this case, 84% divided by 100 equals 0.84. Choice A, 0.042, is not the correct conversion of 84%. Choice B, 84%, is already in percentage form and needs to be converted to a decimal. Choice D, 0.42, is not the correct conversion of 84% either. Therefore, the correct decimal form of 84% is 0.84.

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