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February 2025
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Intro Stats / AP Statistics Q&A Archive of February 20, 2025

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February 20 of 2025

\( (h) \) The probability -0.75 indicates that someone made a mistake the event is certain to happen the event is as likely to happen as not the event may happen but it is not likely the event is very likely to happen but it is not certain it would be unusual for this event to happen the event…

In a data set, the number of items that are in a particular category is called the \( \square \) (Choose one) parameter relative frequency statistic frequency

In one study on electricity bills, the median electricity bill was 201 dollars. A histogram of the data set was skewed to the left. Which of the following values for the mean electricity bill is most plausible? 295.1 dollars 264.6 dollars 183.3 dollars The most plausible value for the mean is…

(d) Find the probability that the person is overweight or has high cholesterol. The probability that the person is overweight or has high cholesterol is

Evaluate ( ar{x}+t imes frac{s}{sqrt{n}} ) given that ( ar{x}=132.5, t=1.984, s=15.3 ), and ( n=65 ). Round to three decimal places.

Part 2 of 4 (b) Find the probability that the person has high cholesterol. The probability that the person has high cholesterol is \( \square \) . Part: \( 2 / 4 \) Part 3 of 4 (c) Find the probability that the person does not have high cholesterol. The probability that the person does not…

Weight and cholesterol: The National Health Examination Survey reported that in a sample of 13,878 adults, 6523 had high cholesterol (total cholesterol above \( 200 \mathrm{mg} / \mathrm{dL} \) ), 9298 were overweight (body mass index above 25), and 4580 were both overweight and had high…

A histogram is skewed to the \( \square \) right if its left tail is longer than its right tail.

Use the box-and-whisker plots to answer the questions. \begin{tabular}{|l|l|} \hline (a) Which city had a smaller range of noon temperatures? & City A \\ \hline (b) Which city had a larger median noon temperature? & City B \\ \hline (c) Which city had noon temperatures with a larger…

A normal random variable \( x \) has an unknown mean and standard deviation. The probability that \( x \) exceeds 5 is 0.9772 , and the probability that \( x \) exceeds is 0.9332 . Find \( \mu \) and \( \sigma \). (Round your answers to one decimal place.) 亿 USE…

A normal random variable \( x \) has an unknown mean \( \mu \) and standard deviation \( \sigma=2 \). If the probability that \( x \) exceeds 6.5 is 0.8023 , find \( \mu \). (Round your answer to one decimal place.) 亿 USE SALT \[ \mu=\square \] You may need to use the appropriate appendix…

Determine whether the data described are at the interval level or the ratio level. A person's score on an IQ test.

(b) If a sample has standard deviation 8 , then the sample variance is

(a) How many outcomes are there? \( \square \) outcome(s) (b) How many outcomes have both Maria and Bob being chosen? \( \square \) outcome(s) (c) How many outcomes do not have Amanda being chosen? \( \square \) outcome(s)

Facebook friends: In a study of Facebook users conducted in a recent year, the mean number of Facebook friends per user was 238 and the median was 230. If a histogram were constructed for the numbers of Facebook friends for all Facebook users, would you expect it to be skewed to the right,…

Let \( A \) and \( B \) be events with \( P(A)=0.3, P(B)=0.88 \), and \( P(B \mid A)=0.4 \). Find \( P(A \) and \( B) \).

2.71 Let \( \mathbf{A}=\left(\begin{array}{lll}3 & 1 & 1 \\ 1 & 0 & 2 \\ 1 & 2 & 0\end{array}\right) \) (a) The eigenvalues of \( \mathbf{A} \) are 1, 4, -2. Find the normalized eigenvectors and use them as columns in an orthogonal matrix \( \mathbf{C} \). (b) Show that \( \mathbf{A}=\mathbf{C…

Find the mean, median, and mode(s) of the data in the following stem-and-leaf plot. The leaf represents the ones digit. \begin{tabular}{l|l} 0 & 4 \\ 1 & 55 \\ 2 & 4578 \\ 3 & 2 \end{tabular}

Don't smoke: The Centers for Disease Control and Prevention reported that there were 443,000 smoking-related deaths in the United States in a recent year. The numbers of deaths caused by various illnesses attributed to smoking are as follows: \begin{tabular}{lr} \hline Illness & Number…

(c) Find the lower and upper outlier boundaries. The lower outlier boundary is \( \square \) \( -9.5 \) . The upper outlier boundary is \( \square \) 75.5

(a) Find the first and third quartiles of these data. The first quartile of these data is \( \square \) 22 . The third quartile of these data is \( \square \) 43 .

(a) Find the first and third quartiles of these data. The first quartile of these data is 22 . The third quartile of these data is 43 . Part: \( 1 / 4 \) Part 2 of 4 (b) Find the median of these data. The median of these data is \( \square \) 30 .

Evaluate ( ar{x}+t imes frac{s}{sqrt{n}} ) given that ( ar{x}=132.5, t=1.984, s=15.3 ), and ( n=65 ). Round to three decimal places.

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