Daren S. Starnes, Daniel S. Yates, David S. Moore
ISBN #9781429245593
4th Edition
1,075 Questions
Homework Questions
The Practice of Statistics for AP is a comprehensive textbook that equips students with essential tools for analyzing, summarizing, and interpreting data. It begins by exploring the fundamentals of data organization and visualization before progressing to methods for modeling distributions and describing relationships between variables. The book methodically introduces key concepts such as probability theory, random variables, and sampling distributions, which pave the way for more advanced topics like confidence intervals, significance tests, and regression analysis. With a focus on practical applications, robust study design, and a careful examination of statistical pitfalls, it prepares students to make informed, data-driven decisions in real-world contexts.
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
Here is a stemplot of the percents of residents aged 65 and older in the 50 states: (a) Find and interpret the percentile for Colorado, which has 10.1$\%$ of its residents aged 65 or older. (b) Find and interpret the percentie for Rhode Island, with 13.9$\%$ of residents aged 65 or older. (c) Which of these two states is more unusual? Explain.
Joshua Argo Numerade Educator
Problem 2
Roulette Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 slots—18 red, 18 black, and 2 green. In one casino, managers record data from a random sample of 200 spins of one of their American roulette wheels. The one-way table below displays the results. $\begin{array}{llll}{\text { Color: }} & {\text { Red }} & {\text { Black }} & {\text { Green }} \\ \hline \text { Count: } & {85} & {99} & {16} \\ \hline\end{array}$ (a) State appropriate hypotheses for testing whether these data give convincing evidence that the distribution of outcomes on this wheel is not what it should be. (b) Calculate the expected counts for each color. Show your work.
Ahmad Reda Numerade Educator
Problem 3
Coaster craze Many people like to ride roller coasters. Amusement parks try to increase attendance by building exciting new coasters. The table below displays data on several roller coasters that were opened in$2009 .^{2}$ (a) What individuals does this data set describe? (b) Clearly identify each of the variables. Which are quantitative? In what units are they measured? (c) Describe the individual in the highlighted row.
Sheryl Ezze Numerade Educator
Problem 4
How much gas? Joan is concerned about the amount of energy she uses to heat her home. The graph below plots the mean number of cubic feet of gas per day that Joan used each month against the average temperature that month (in degrees Fahrenheit) for one heating season.
Kristin Cameron Numerade Educator
Problem 5
How many pairs of shoes do students have? Do girls have more shoes than boys? Here are data from a random sample of 20 female and 20 male students at a large high school: $\begin{array}{rlllllllll}{\text { Female: }} & {50} & {26} & {26} & {31} & {57} & {19} & {24} & {22} & {23} & {38} \\ & {13} & {50} & {13} & {34} & {23} & {30} & {49} & {13} & {15} & {51}\end{array}$ $\begin{array}{rrrrrrrrrrrr}{\text { Male: }} & {14} & {7} & {6} & {5} & {12} & {38} & {8} & {7} & {10} & {10} \\ &{10} & {11} & {4} & {5} & {22} & {7} & {5} & {10} & {35} & {7}\end{array}$ (a) Find and interpret the percentile in the female distribution for the girl with 22 pairs of shoes. (b) Find and interpret the percentile in the male distribution for the boy with 22 pairs of shoes. (c) Who is more unusual: the girl with 22 pairs of shoes or the boy with 22 pairs of shoes? Explain.
Dani Dutmer Numerade Educator
Problem 6
Aw, nuts! A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27% almonds, 13% macadamia nuts, and 8% brazil nuts. To test this claim, a quality control inspector takes a random sample of 150 nuts from the latest batch. The one-way table below displays the sample data. (a) State appropriate hypotheses for performing a test of the company’s claim. (b) Calculate the expected counts for each type of nut. Show your work.
Amany Elt Numerade Educator
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