Daxen S.Starnes, Daniel S. Yates, David S. Moore
ISBN #9781429245593
4th Edition
1,047 Questions
Homework Questions
The Practice of Statistics for AP is a comprehensive guide that builds a strong foundation in data analysis, emphasizing the classification of variables, graphical data exploration, and modeling data distributions. The book methodically leads readers from basic concepts such as data variability and Simpson’s paradox to more advanced topics including probability models, random variables, and the Central Limit Theorem. It also details the critical process of designing studies, constructing confidence intervals, and performing hypothesis tests, while highlighting the importance of ethical research and proper statistical procedures. Ultimately, this text equips students with a systematic approach to interpreting data and making informed, data-driven decisions that are applicable across real-world scenarios.
Chapter 1
Exploring Data
Chapter 2
Modeling Distributions of Data
Chapter 3
Describing Relationships
Chapter 4
Designing Studies
Chapter 5
Probability: What Are the Chances?
Chapter 6
Random Variables
Chapter 7
Sampling Distributions
Chapter 8
Estimating with Confidence
Chapter 9
Testing a Claim
Chapter 10
Comparing Two Populations or Groups
Chapter 11
Inference for Distributions of Categorical Data
Chapter 12
More about Regression
Problem 1
A small ferry runs every half hour from one side of a large river to the other. The number of cars $X$ an a randomly chosen Ferry trip has the probability distribution shown below, You can cheek. that $\mu x=3.87$ and $\sigma x=1.29$. (a) The cost for the ferry trip is $\$ 5 .$ Make a graph of the probability distribution for the random variable $\mathrm{M} \equiv$ money collected on a randomly selected ferry trip. Describe its shape. (b) Find and interpret $\mu \mathrm{M}$ (c) Compute and interpret $\sigma$ M.
Foster Wisusik Numerade Educator
Problem 2
You want to design in study to estimate the proportion of students at your school who agree with the statement, "The student government is an effective organization for expressing the needs of students to the administration. You will use a $95 \%$ confidence interval, and you would like the margin of error to be 0.05 or less. The minimum sample size required is $\begin{array}{llll}\text { (a) } 22 & \text { (b) } 271, & \text { (c) } 385 . & \text { (d) } 769 . & \text { (c) } 1795 .\end{array}$
Bryan Meares Numerade Educator
Problem 3
Biking accidents Accidents on a level, 3 -mile bike path occur uniformly along the length of the path. The figure below displays the density curve that describes the uniform distribution of accidents. (FIGURE CAN'T COPY) (a) Explain why this curve satisfies the two requirements for a density curve. (b) The proportion of accidents that occur in the first mile of the path is the area under the density curve. between 0 miles and 1 mile. What is this area? (c) Sue's property adjoins the hike path between the 0.8 mile mark and the 1.1 mile mark. What proportion of accidents happen in front of Sue's property? Explain.
Problem 4
The return on u stock is the change in its market price plus any dividend payments made. Total return is usually expressed as a percent of the beginning price. The figure Below shows a histogram of the distribution of the monthly returns for all common stocks listed on U.S. markets from January 1985 to September 20071273 months). $^{\text {25 }}$ The extreme low outlier represents the market crush of October $1987,$ when stocks last $23 \%$ of their value in one month. CAN'T COPY THE FIGURE (a) Ignoring the outliers, describe the overall shape of the distribution of monthly returns. (b) What is the approximate center of this distribution? In 1 Approximately what were the smallest and largest monthly returns, leaving out the outliers? (d) A return less than zero means that stacks lost value in that month. About what percent of all months had returns less than zero?
Ahmad Reda Numerade Educator
Problem 5
Who goes to the convention? A club has 30 student members and 10 faculty members. The students are (TABLE CAN'T COPY)The faculty members are (TABLE CAN'T COPY) The club can send 4 students and 2 faculty members to a convention. It decides to choose those who will go by random selection. How will you label the two strata? Use Table $\mathrm{D}$, beginning at line $123,$ to choose a stratified random sample of 4 students and 2 faculty members.
Problem 6
Most people can roll their tongues, but many can't. The ability to roll the tongues is genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400 students and find that 317 can roll their tongues. The margin of error for a $95 \%$ confidence interval for the true proportion of tongue rollers among students is closest to (a) 0.008 (b) 0.02 (c) 0.3 (d) 0.04 (e) 0.208
Evelyn Cunningham Numerade Educator
WHAT OUR STUDENTS SAY
“I finally understand my textbook questions. Before Numerade, I’d skip hard problems. Now I get instant help with videos that explain everything simply.”
Edwin V. Penn State Freshman