A quality control engineer tests 120 randomly selected microchips from a large production run. Each microchip independently has a 0.08 probability of being defective. Let X be the number of defective microchips found. Which of the following is closest to the probability that X is within one standard deviation of its mean?

Using the highway construction data above, determine whether it would be surprising if workers laid 10 miles of highway in one day. Express your answer in terms of standard deviations above the mean.

How is the y-intercept affected if the mean of the explanatory variable increases?

A researcher calculates relative risk and odds ratio for a 2×2 table examining the relationship between exercise (Regular, Irregular) and heart disease (Present, Absent). When would these two measures give substantially different interpretations?

In a regression analysis, a point has a small x-leverage but a very large residual. Which statement best describes the impact of this point on the regression line?

In a normal distribution, 30% of the values are less than 42 and 70% of the values are less than 58. What is the value that corresponds to the 90th percentile of this distribution?

A dataset of 100 test scores has a symmetric distribution with mean 75 and standard deviation 8. If the highest score is incorrectly recorded as 150 instead of 100, which measure will show the greatest percentage increase?

A dataset has a coefficient of variation of 0.75. What does this tell us about the spread of the data?

A quality control engineer knows that the breaking strength of a certain type of rope is normally distributed with $$\mu = 850$$ pounds and $$\sigma = 30$$ pounds. If 5 ropes are randomly selected, what is the probability that at least one rope has a breaking strength exceeding 900 pounds?

How can researchers assess if a pattern in data is meaningful?

A researcher has a dataset with $$n = 25$$ and $$\sum(x_i - \bar{x})^2 = 240$$. If one additional data point with a value equal to the original mean is added, what will be the new standard deviation?

A dataset has median = 50, IQR = 24, and minimum value = 10. If exactly 8% of the data are outliers (below the lower fence), what is the maximum possible value for Q1?

All of the following statements about the back-to-back stemplot comparing NBA team wins in the Eastern and Western Conferences are true except:

What is the primary purpose of a relative frequency table?

Consider a histogram displaying the following segments: 20% of the area lies between $$z = -2$$ and $$z = -1$$, 40% between $$z = -1$$ and $$z = 0$$, 10% between $$z = 0$$ and $$z = 1$$, and 30% between $$z = 1$$ and $$z = 2$$. Which of the following is true?

A researcher finds that the weights of adult male gorillas are normally distributed with mean μ = 180 kg and standard deviation σ = 21 kg. If a male gorilla weighs 201 kg, which of the following best describes its position in the distribution?

A survey of 100 individuals regarding their favorite fruit produced the table above. What is the probability that a randomly selected individual chose either Banana or Cherry?