TEAS Test Math Prep

Correct Answer: A

Rationale: The correct answer is A. When the sampling distribution of means is plotted, it follows the central limit theorem, which states that for a large enough sample size, the distribution of sample means will be approximately normally distributed regardless of the shape of the population distribution. This is because as sample size increases, the distribution becomes more normal due to the law of large numbers. Choice B is incorrect because the sampling distribution of means is not positively skewed. Choice C is incorrect because it is not negatively skewed. Choice D is incorrect as there is a predictable shape to the distribution, which is approximately normal due to the central limit theorem.

Correct Answer: B

Rationale: To find the weight difference in kilograms, we subtract Alan's goal weight (175 lbs) from his current weight (200 lbs): 200 lbs - 175 lbs = 25 lbs Next, we convert pounds to kilograms using the conversion factor 0.45 kg per 1 lb: 25 lbs x 0.45 kg/lb = 11.25 kg Therefore, the correct answer is B (11.25 kg). Other choices are incorrect because they do not properly calculate the weight difference in kilograms based on the given conversion factor.

Correct Answer: A

Rationale: The correct answer is A: Positive. A line traveling from bottom-left to upper-right on a graph indicates a positive relationship between the predictor and dependent variable. As the predictor increases, the dependent variable also increases. This is because the slope of the line is positive, showing a direct relationship between the two variables. In contrast, a negative relationship (choice B) would be indicated by a line traveling from top-left to bottom-right, where the dependent variable decreases as the predictor increases. Choices C (Exponential) and D (Logarithmic) refer to specific nonlinear relationships, which are not indicated by a line with a positive slope.

Correct Answer: A

Rationale: The correct answer is A: Mean. The mean is calculated by summing all values and dividing by the number of values. Outliers can significantly skew the mean because they have a greater impact on the total sum. The median (B) is less affected by outliers since it is the middle value when data is sorted. The mode (C) is the most frequent value and is not affected by outliers. Choice D is incorrect as outliers can impact the mean in a small sample set.

Correct Answer: B

Rationale: To find the ratio of faculty to students, add the number of teachers and teaching assistants (15+20 = 35). Then, divide the total faculty by the number of students (35:200). Simplify the ratio to its simplest form, which is 4:17. This is the correct answer because it represents the relationship between the faculty and students accurately. Incorrect choices: A: 3:20 - Incorrect because it doesn't accurately represent the ratio of faculty to students. C: 3:02 - Incorrect because the ratio must be in terms of whole numbers. D: 7:40 - Incorrect as it doesn't reflect the actual ratio between faculty and students.