Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan
ISBN #9781118583104
1st Edition
1,328 Questions
Homework Questions
"Statistics: Unlocking the Power of Data is a comprehensive guide that demystifies the process of data collection, analysis, and inference, emphasizing the transformative power of sound statistical reasoning in real-world applications. The book begins by establishing foundational principles of data collection and descriptive techniques, gradually introducing more sophisticated methods such as confidence intervals, hypothesis testing, and regression analyses to draw meaningful conclusions from data. Key chapters explore a range of methods—from chi-square tests and ANOVA to multiple regression and advanced probability concepts—each designed to improve the reader's ability to evaluate variability, test assumptions, and interpret statistical significance. Throughout, the text highlights the importance of rigorous design, accurate variable classification, and practical application, equipping readers with both theoretical insights and hands-on analytical skills."
Chapter 1
Collecting Data
Chapter 2
Describing Data
Chapter 3
Confidence Intervals
Chapter 4
Hypothesis Tests
Chapter 5
Approximating with a Distribution
Chapter 6
Inference for Means and Proportions
Chapter 7
Chi-Square Tests for Categorical Variables
Chapter 8
ANOVA to Compare Means
Chapter 9
Inference for Regression
Chapter 10
Multiple Regression
Chapter 11
Probability Basics
Problem 1
Which of the distributions is likely to have the largest mean? The smallest mean?
Lynn Larson Numerade Educator
Problem 2
The Honeybee Waggle Dance When honeybee scouts find a food source or a nice site for a new home, they communicate the location to the rest of the swarm by doing a "waggle dance."68 They point in the direction of the site and dance longer for sites farther away. The rest of the bees use the duration of the dance to predict distance to the site. Table 2.36 shows the distance, in meters, and the duration of the dance, in seconds, for seven honeybee scouts. $^{69}$ This information is also given in HoneybeeWaggle. (a) Which is the explanatory variable? Which is the response variable? (b) Figure 2.69 shows a scatterplot of the data. Does there appear to be a linear trend in the data? If so, is it positive or negative? (c) Use technology to find the correlation between the two variables. (d) Use technology to find the regression line to predict distance from duration. (e) Interpret the slope of the line in context. (f) Predict the distance to the site if a honeybee does a waggle dance lasting 1 second. Lasting 3 seconds.
Sheryl Ezze Numerade Educator
Problem 3
Which histograms are approximately symmetric and bell-shaped?
Problem 4
Largest and Smallest Standard Deviation Using only the whole numbers 1 through 9 as possible data values, create a dataset with $n=6$ and $\bar{x}=5$ and with: (a) Standard deviation as small as possible (b) Standard deviation as large as possible
James Kiss Numerade Educator
Problem 5
About $20 \%$ of movies coming out of Hollywood are comedies, Warner Bros has been the lead studio for about $9 \%$ of recent movies, and about $2 \%$ of recent movies are comedies from Warner Bros. $^{2}$ Let $C$ denote the event a movie is a comedy and $\mathrm{W}$ denote the event a movie is produced by Warner Bros. (a) Write probability expressions for each of the three facts given in the first sentence of the exercise. (b) What is the probability that a movie is either a comedy or produced by Warner Bros? (c) What is the probability that a Warner Bros movie is a comedy? (d) What is the probability that a comedy has Warner Bros as its producer? (e) What is the probability that a movie coming out of Hollywood is not a comedy? (f) In terms of movies, what would it mean to say that $\mathrm{C}$ and $\mathrm{W}$ are disjoint events? Are they disjoint events? (g) In terms of movies, what would it mean to say that $\mathrm{C}$ and $\mathrm{W}$ are independent events? Are they independent events?
Problem 6
Scientists are working to train dogs to smell cancer, including early stage cancer that might not be detected with other means. In previous studies, dogs have been able to distinguish the smell of bladder cancer, lung cancer, and breast cancer. Now, it appears that a dog in Japan has been trained to smell bowel cancer. ${ }^{12}$ Researchers collected breath and stool samples from patients with bowel cancer as well as from healthy people. The dog was given five samples in each test, one from a patient with cancer and four from healthy volunteers. The dog correctly selected the cancer sample in 33 out of 36 breath tests and in 37 out of 38 stool tests. (a) The cases in this study are the individual tests. What are the variables? (b) Make a two-way table displaying the results of the study. Include the totals. (c) What proportion of the breath samples did the dog get correct? What proportion of the stool samples did the dog get correct? (d) Of all the tests the $\operatorname{dog}$ got correct, what proportion were stool tests?
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