Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 4, Problem 37SE
Comparing
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A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie.
Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute.
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each…
Chapter 4 Solutions
Introductory Statistics (2nd Edition)
Ch. 4 - Predicting Land Value Both scatterplots concern...Ch. 4 - Predicting Total Value of Property Both...Ch. 4 - Car Value and Age of Student The scatterplot shows...Ch. 4 - Shoe Size and GPA The figure shows a scatterplot...Ch. 4 - Weight Loss (Example 1) The scatterplot shows the...Ch. 4 - Comparing Salaries The scatterplot shows the...Ch. 4 - Sisters and Brothers The scatterplot shows the...Ch. 4 - BAs and Median Income The scatterplot shows data...Ch. 4 - Work and TV The scatterplot shows the number of...Ch. 4 - Work and Sleep The scatterplot shows the number of...
Ch. 4 - Age and Sleep The scatterplot shows the age and...Ch. 4 - Height and Weight for Women The figure shows a...Ch. 4 - College Tuition and ACT a. The first scatterplot...Ch. 4 - Ages of Women Who Give Birth The figure shows a...Ch. 4 - Do Older Students Have Higher GPAs? On the basis...Ch. 4 - Handspans Refer to the figure. a. Would it make...Ch. 4 - Matching Pick the letter of the graph that goes...Ch. 4 - Matching Pick the letter of the graph that goes...Ch. 4 - Matching Match each of the following correlations...Ch. 4 - Matching Match each of the following correlations...Ch. 4 - Trash (Example 2) The table shows the number of...Ch. 4 - Cost of Flights The table for part a shows...Ch. 4 - Work Hour and TV Hours In Exercise 4.9 there was a...Ch. 4 - House Price The correlation between house price...Ch. 4 - Rate My Professor Seth Wagerman, a former...Ch. 4 - Cousins Five people were asked how many female...Ch. 4 - + Video Games and BMI The table gives some...Ch. 4 - See-Saw The table gives data on the heights (above...Ch. 4 - Salaries of College Graduates (Example 3) The...Ch. 4 - Mother and Daughter Heights The graph shows the...Ch. 4 - Are Men Paid More Than Women? The scatterplot...Ch. 4 - Home Prices and Areas of Four Bedroom Homes a....Ch. 4 - Height and Arm Span for Women (Example 4) TI-84...Ch. 4 - Hand and Foot Length for Women The computer output...Ch. 4 - Height and Arm Span for Men (Example 5)...Ch. 4 - Hand Length and Foot Length for Men Measurements...Ch. 4 - Comparing Correlation for Arm Span and Height The...Ch. 4 - Age and Weight for Men and Women The scatterplot...Ch. 4 - Social Security Number and Age The figure shows a...Ch. 4 - Seesaw The figure shows a scatterplot of the...Ch. 4 - Choosing the Predictor and Response (Example 6)...Ch. 4 - Choosing the Predictor and Response Indicate which...Ch. 4 - Percentage of Smoke-Free Homes and Percentage of...Ch. 4 - Effect of Adult Smoking on High School Student...Ch. 4 - Driver’s Deaths and Ages The figure shows a graph...Ch. 4 - Do Women Tend to Live Longer Than Men? The figure...Ch. 4 - How Is the Time of a Flight Related to the...Ch. 4 - English in California Schools This problem...Ch. 4 - Do States with Higher Populations Have More...Ch. 4 - Semesters and Units The table shows the...Ch. 4 - Pitchers The table shows the number of wins and...Ch. 4 - Text Messages The following table shows the number...Ch. 4 - Answer the question using complete sentence. a....Ch. 4 - Answer the question, using complete sentences. a....Ch. 4 - If there is a positive correlation between number...Ch. 4 - Suppose that the growth rate of children looks...Ch. 4 - Coefficient of Determination If the correlation...Ch. 4 - Coefficient of Determination Does a correlation of...Ch. 4 - Investing Some investors use a technique called...Ch. 4 - Blood Pressure Suppose a doctor telephones those...Ch. 4 - Salary and Year of Employment (Example 8) The...Ch. 4 - MPG: Highway and City The following figure shows...Ch. 4 - Cost of Turkeys The table shows the weights and...Ch. 4 - Iraq Casualties and Population of Hometowns The...Ch. 4 - Teachers’ Pay and Costs of Education (Example 9)...Ch. 4 - Teachers’ Pay the figure shows a scatterplot with...Ch. 4 - Does Having a Job Affect Students’ Grades?...Ch. 4 - Weight of Trash and Household Size Data were...Ch. 4 - Age and Text Messages The scatterplot shows the...Ch. 4 - Life Expectancy and TVs The scatterplot shows the...Ch. 4 - Education of Fathers and Mothers The data shown in...Ch. 4 - Heights of Fathers and Sons The table shows some...Ch. 4 - Test Scores Assume that in a political science...Ch. 4 - Test Scores Assume that in a sociology class, the...Ch. 4 - Heights and Weights of People The following table...Ch. 4 - Heights and Weights of Men The table shows the...Ch. 4 - Homes The table shows the asking price (in...Ch. 4 - Alcohol and Calories in Beer At the text’s website...Ch. 4 - Shoe Size and Height The scatterplot shows the...Ch. 4 - Age and Sleep The following scatterplot shows the...Ch. 4 - Age and Weight The following scatterplot shows the...Ch. 4 - Heights and Test Scores a. The following figure...Ch. 4 - Prob. 83CRECh. 4 - Age and Happiness Happiness ratings were from I...Ch. 4 - Tree Heights Loggers gathered information about...Ch. 4 - Film Budgets and Grosses Movie studios exert much...Ch. 4 - Gas Mileage of Cars The table gives the number of...Ch. 4 - Tall Buildings The following scatterplot shows...Ch. 4 - Bar-Passing Rate To become a lawyer, you must pass...Ch. 4 - For 4.91 through 4.94 show your points in a rough...Ch. 4 - For 4.91 through 4.94 show your points in a rough...Ch. 4 - For 4.91 through 4.94 show your points in a rough...Ch. 4 - For 4.91 through 4.94 show your points in a rough...Ch. 4 - The following figure shows a scatterplot of the...Ch. 4 - Wages and Education The figure shows a scatterplot...Ch. 4 - Do Students Taking More Units Study More Hours?...Ch. 4 - Hours of Exercise and Hours of Homework The...Ch. 4 - Children’s Ages and Heights The following figure...Ch. 4 - Blackjack Tips The following figure shows the...Ch. 4 - Decrease in Cholesterol A doctor is studying...Ch. 4 - Prob. 102CRE
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- A qualifying exam for a graduate school program has a math section and a verbal section. Students receive a score of 1, 2, or 3 on each section. Define X as a student’s score on the math section and Y as a student’s score on the verbal section. Test scores vary according to the following bivariate probability distribution. y 1 2 3 1 0.22 0.33 0.05 x 2 0.00 0.08 0.20 3 0.07 0.05 0.00 μXX = , and μYY = σXX = , and σYY = The covariance of X and Y is . The coefficient of correlation is . The variables X and Y independent. The expected value of X + Y is , and the variance of X + Y is . To be accepted to a particular graduate school program, a student must have a combined score of 4 on the qualifying exam. What is the probability that a randomly selected exam taker qualifies for the program? 0.45 0.47 0.46 0.33 Chebysheff’s Theorem states that the…arrow_forwardwhat is the correct answer and why?arrow_forward(a) How many bit strings of length 10 both begin with a 1 and end with 2 zeroes? (b) How many permutations of the letters PQRSTUV contain PRS and QV?arrow_forward
- (d) A clothing store sells red, white, green, orange and pink charms for a specialty bracelet. How many ways can a customer purchase a bracelet with (i) 16 charms? (ii) 27 charms with at least 3 of each colour?arrow_forward(d) Draw the Venn diagram which represents the set (A U B) U (B NC).arrow_forwardThe ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n sample mean population std. dev. West 33 26.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for this problem? what is the p-value? what is the decision (reject or do not reject the null hypothesis?arrow_forward
- A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie. Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute. Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 24% of the time, and roommate B chooses rock 85% of the time; roommate A selects paper 12% of the time, and roommate B selects paper 14% of the time; roommate A chooses scissors 64% of the time, and roommate B chooses scissors 1% of the time. (These choices are made randomly and independently of each…arrow_forwardPerform the following hypothesis test: HO: µ = 6 H1: µ 6 The sample mean is 5.6, sample standard deviation of 1.5 and a sample size of 42. Use a 5% significance level. Need to answer the following questions: what is the value of the test statistic? what is the p-value for this test (round to 3 decimal places)? what is the decision (reject the null hypothesis or do not reject the null hypothesis)?arrow_forwardPerform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample proportion is 0.2 based on a sample size of 95. Use a 10% significance level. need to solve the following questions: what is the value of the test statistic? what is the p-value? what is the decision (reject the null hypothesis or do not reject the null hypothesis)?arrow_forward
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