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| Section | Objectives |
|---|---|
| Topic 1: Descriptive Statistics | - Data summarization
|
| Topic 2: Probability Distributions | - Discrete distributions
|
| Topic 3: Statistical Inference | - Hypothesis testing
|
| Topic 4: Regression and Correlation | - Relationship analysis
|
| Topic 5: Probability | - Fundamental probability concepts
|
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ExamPassdump의WGU인증 Applied-Probability-and-Statistics 덤프는 수많은 시험준비 공부자료 중 가장 믿음직합니다. ExamPassdump의 인지도는 업계에 널리 알려져 있습니다. WGU인증 Applied-Probability-and-Statistics덤프로WGU인증 Applied-Probability-and-Statistics시험을 준비하여 한방에 시험패스한 분이 너무나도 많습니다. WGU인증 Applied-Probability-and-Statistics덤프는 실제WGU인증 Applied-Probability-and-Statistics시험문제에 초점을 맞추어 제작한 최신버전 덤프로서 시험패스율이 100%에 달합니다.
질문 # 95
Review the following inequality:
y < x # 1/2
Which shaded portion in the graphs corresponds to this inequality?
정답：B
설명：
The inequality y < x # 1/2 has boundary line y = x # 1/2. This line has slope 1 and y-intercept #1/2, so it crosses the y-axis slightly below the origin and rises one unit for every one unit moved to the right. Because the inequality is strict, using " < " rather than "#," the boundary line must be dashed, showing that points on the line are not included in the solution set. The solution region must be shaded below the line because y is less than the expression x # 1/2. A useful verification method is the test point (0, 0). Substituting gives 0 < 0 #
1/2, or 0 < #1/2, which is false. Therefore, the region containing the origin should not be shaded. The fourth graph has the dashed boundary with intercept #1/2 and shades the region below the line while excluding the origin. References/topics from the Study Guide: graphing linear inequalities, slope-intercept form, dashed boundaries, test-point method.
질문 # 96
A teacher compares the test scores of two classes using a box plot.
What is true about the median test scores?
정답：D
설명：
A box plot displays the five-number summary, including the median, which is shown by the vertical line inside each box. In the exhibit, the median for Class A is positioned at approximately 65, while the median for Class B is positioned at approximately 80. The difference is therefore 80 # 65 = 15 points. Since Class A's median is lower, the correct interpretation is that the median test score of Class A is 15 points less than that of Class B. This comparison uses a categorical grouping variable, class, and a quantitative response variable, test score. The box plot is appropriate because it allows the distributions of two groups to be compared visually using medians, quartiles, ranges, and potential spread. Options A, B, and D do not match the median locations shown by the center lines in the boxes. References/topics from the Study Guide: box plots, median, five- number summary, comparing distributions.
질문 # 97
Z-score negative #
정답：B
설명：
A z-score measures how many standard deviations a data value is from the mean. The formula is z = (x # #)/#, where x is the observed value, # is the mean, and # is the standard deviation. Since standard deviation is positive, the sign of the z-score depends on the numerator, x # #. If x is less than the mean, then x # # is negative, producing a negative z-score. Therefore, a negative z-score indicates that the observed value is below the mean. A positive z-score indicates a value above the mean, while a z-score of 0 indicates a value exactly equal to the mean. Option D is incorrect because the sign of the z-score gives direct positional information relative to the mean. Study Guide references/topics: z-scores, standard normal distribution, mean, standard deviation.
질문 # 98
Standard error decreases when:
정답：B
설명：
The standard error of the mean is calculated as SE = s/#n, where s is the sample standard deviation and n is the sample size. Because n appears in the denominator under a square root, increasing the sample size decreases the standard error when the standard deviation is held constant. This reflects a central idea in sampling: larger samples tend to produce more stable and precise estimates of the population mean. Option C is incorrect because increasing the standard deviation increases the standard error, not decreases it. Option B is incomplete and does not identify what is decreasing. Option D is not the direct driver of standard error; confidence level affects the critical value and margin of error, but the standard error itself is determined by variability and sample size. The correct relationship is inverse: as sample size increases, standard error decreases. Study Guide references/topics: standard error, sample size, sampling variability, precision of estimates.
질문 # 99
Probability of rolling an odd number on a die:
정답：B
설명：
A standard six-sided die has six equally likely outcomes: 1, 2, 3, 4, 5, and 6. The odd outcomes are 1, 3, and
5. Thus, there are 3 favorable outcomes out of 6 possible outcomes. The probability is 3/6, which simplifies to
1/2. This means an odd number is just as likely as an even number on a fair die. Option B, 1/3, would represent 2 favorable outcomes out of 6, which is not correct. Option C, 1/6, is the probability of rolling one specific number, such as only a 1. Option D, 2/3, would require 4 favorable outcomes out of 6. Since exactly half the faces are odd, the probability is one-half. Study Guide references/topics: theoretical probability, equally likely outcomes, sample space, favorable outcomes.
질문 # 100
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