Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 45SE
Errors with Pennies (Example 12) Suppose you are spinning pennies to test whether you get biased results. When you reject the null hypothesis when it is actually true, that is often called the first kind of error. The second kind of error is when the null is false and you fail to reject. Report the first kind of error and the second kind of error.
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You are given the following information obtained from a random sample of 4 observations.
24
48
31
57
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)
(a)
State the null and the alternative hypotheses. (Enter != for ≠ as needed.)
H0:
Ha:
(b)
Determine the test statistic. (Round your answer to three decimal places.)
(c)
Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.
Find the p-value. (Round your answer to four decimal places.)
p-value =
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65% of all violent felons in the prison system are repeat offenders. If 43 violent felons are randomly selected, find the probability that
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deflects slightly when it supports the 50-kg boy. This
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Chapter 8 Solutions
Introductory Statistics (2nd Edition)
Ch. 8 - Choose one of the answers given. The null...Ch. 8 - Choose one of the answers in each case. In...Ch. 8 - Boot Camp (Example 1) Suppose an experiment is...Ch. 8 - Scrubs A research hospital tries a new antibiotic...Ch. 8 - Magic A magician claims he can cause a coin to...Ch. 8 - Water A friend is tested to see whether he can...Ch. 8 - Heart Attack Prevention A new drug is being tested...Ch. 8 - Stroke Survival Rate The proportion of people who...Ch. 8 - Coin Flips (Example 2) A coin is flipped 30 times...Ch. 8 - Die Rolls You roll a six-sided die 30 times and...
Ch. 8 - Prob. 11SECh. 8 - Multiple-Choice Test A teacher is giving an exam...Ch. 8 - Dropouts According to Time magazine (June 11,...Ch. 8 - Prob. 14SECh. 8 - Boot Camp, Again (Example 4) Refer to Exercise...Ch. 8 - Prob. 16SECh. 8 - Coke versus Pepsi (Example 5) Suppose you are...Ch. 8 - St. Louis Jury Pool St. Louis County is 24 African...Ch. 8 - Coke vs. Pepsi (Example 6) Suppose you are testing...Ch. 8 - Prob. 20SECh. 8 - Cheating? A professor creates two versions of a 20...Ch. 8 - Guessing A 20-question multiple choice quiz has...Ch. 8 - Dreaming (Example 7) A 2003 study of dreaming...Ch. 8 - Age Discrimination About 30 of the population in...Ch. 8 - Marriage Obsolete (Example 8) When asked whether...Ch. 8 - Prob. 26SECh. 8 - Coke versus Pepsi A taste test is done to see...Ch. 8 - Seat Belts Suppose we are testing people to see...Ch. 8 - Sleep Walking (Example 9) According to Time...Ch. 8 - Prob. 30SECh. 8 - Sleep Walking, Again (Example 10) According to...Ch. 8 - Women CEOs, Again the percentage of female CEOs in...Ch. 8 - p-Values For each graph, indicate whether the...Ch. 8 - p-Values For each graph, state whether the shaded...Ch. 8 - Gun Control Historically, the percentage of U.S....Ch. 8 - Death Penalty A Pew Poll in November 2011 showed...Ch. 8 - Prob. 37SECh. 8 - Plane Crashes According to one source, 50 of plane...Ch. 8 - Mercury in Freshwater Fish Some experts believe...Ch. 8 - Prob. 40SECh. 8 - Morse’s Proportion of ts Samuel Morse determined...Ch. 8 - Morse’s Proportion of as Samuel Morse determined...Ch. 8 - p-Values (Example 11) A researcher carried out a...Ch. 8 - Coin Flips A test is conducted in which a coin is...Ch. 8 - Errors with Pennies (Example 12) Suppose you are...Ch. 8 - Errors with Toast Suppose you are testing someone...Ch. 8 - Blackstone on Errors in Trials Sir William...Ch. 8 - Alpha By establishing a small value for the...Ch. 8 - Flaws (Example 13) A person spinning a 1962 penny...Ch. 8 - Flaws The null hypothesis on true/false tests is...Ch. 8 - Which Method? A proponent of a new proposition on...Ch. 8 - Which Method? A proponent of a new proposition on...Ch. 8 - Effectiveness of Financial Incentives A...Ch. 8 - Is it acceptable practice to look at your research...Ch. 8 - If we reject the null hypothesis, can we claim to...Ch. 8 - If we do not reject the null hypothesis, is it...Ch. 8 - When a person stands trial for murder, the jury is...Ch. 8 - When, in a criminal court, a defendant is found...Ch. 8 - Arthritis A magazine advertisement claims that...Ch. 8 - No-Carb Diet A weight-loss diet claims that it...Ch. 8 - When comparing two sample proportions with a...Ch. 8 - When comparing two sample proportions with a...Ch. 8 - Prob. 63SECh. 8 - Prob. 64SECh. 8 - Prob. 65SECh. 8 - Prob. 66SECh. 8 - Prob. 67SECh. 8 - Prob. 68SECh. 8 - Smiling and Gender (Example 15) In a 1997 study,...Ch. 8 - Prob. 70SECh. 8 - Prob. 71CRECh. 8 - Prob. 72CRECh. 8 - Choosing a Test and Giving the Hypotheses Give the...Ch. 8 - Choosing a Test and Naming the Population(s) In...Ch. 8 - Prob. 75CRECh. 8 - Butter Taste Test A man is tested to determine...Ch. 8 - Biased Coin? A study is done to see whether a coin...Ch. 8 - Biased Coin? A study is done to see whether a coin...Ch. 8 - Prob. 79CRECh. 8 - Coin Flips Suppose you tested 50 coins by flipping...Ch. 8 - Prob. 81CRECh. 8 - Prob. 82CRECh. 8 - Prob. 83CRECh. 8 - Weight Loss in Men Many polls have asked people...Ch. 8 - Prob. 85CRECh. 8 - Prob. 86CRECh. 8 - Prob. 87CRECh. 8 - Prob. 88CRECh. 8 - Wording of Polls A poll in California (done by the...Ch. 8 - Prob. 90CRECh. 8 - Three-Strikes Law California’s controversial...Ch. 8 - Prob. 92CRECh. 8 - Prob. 93CRECh. 8 - Prob. 94CRECh. 8 - A friend claims he can predict the suit of a card...Ch. 8 - A friend claims he can predict how a six-sided die...Ch. 8 - Votes for Independents Judging on the basis of...Ch. 8 - Votes for Independents Refer to Exercise 8.97....Ch. 8 - Texting While Driving The mother of a teenager has...Ch. 8 - True/False Test A teacher giving a true/false test...Ch. 8 - ESP Suppose a friend says he can predict whether a...Ch. 8 - ESP Again Suppose a friend says he can predict...Ch. 8 - Does Hand Washing Save Lives? In the mid-1800s,...Ch. 8 - Prob. 104CRECh. 8 - Guessing on a True/False Test A true/false test...Ch. 8 - Guessing on a Multiple-Choice Test A...
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