Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134763699
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 10.4, Problem 19AYU
To determine
To decide: Whether the problem requires a confidence interval or hypothesis test and determine the variable of interest.
To state: Whether the confidence interval will be for a population proportion or for population mean if the problem requires a confidence interval.
To write: The null hypothesis and alternative hypothesis if problem requires a hypothesis test.
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Chapter 10 Solutions
Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
Ch. 10.1 - A _____ is a statement regarding a characteristic...Ch. 10.1 - _____ _____ is a procedure, based on sample...Ch. 10.1 - The _____ _____ is a statement of no change, no...Ch. 10.1 - The _____ _____ is a statement we are trying to...Ch. 10.1 - If we reject the null hypothesis when the...Ch. 10.1 - If we do not reject the null hypothesis when the...Ch. 10.1 - The _____ _____ _____ is the probability of making...Ch. 10.1 - True or False: Sample evidence can prove a null...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...
Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - Prob. 33AYUCh. 10.1 - Prob. 34AYUCh. 10.1 - Quality Control A can of soda is labeled as...Ch. 10.1 - Popcorn Consumption According to popcorn.org, the...Ch. 10.1 - E-Cigs According to the Centers for Disease...Ch. 10.1 - Migraines According to the Centers for Disease...Ch. 10.1 - Prob. 39AYUCh. 10.1 - Refer to Problem 18. Researchers must choose the...Ch. 10.1 - Retirement Savings Designed by Bill Bengen, the 4...Ch. 10.1 - If the consequences of making a Type I error are...Ch. 10.1 - What happens to the probability of making a Type...Ch. 10.2 - When observed results are unlikely under the...Ch. 10.2 - True or False: When testing a hypothesis using the...Ch. 10.2 - True or False: When testing a hypothesis using the...Ch. 10.2 - Determine the critical value for a right-tailed...Ch. 10.2 - Determine the critical value for a left-tailed...Ch. 10.2 - Determine the critical value for a two-tailed test...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - Prob. 10AYUCh. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - You Explain It! Stock Analyst Throwing darts at...Ch. 10.2 - Prob. 14AYUCh. 10.2 - Applying the Concepts 15. Cramer Correct Less Than...Ch. 10.2 - Political Pundits In his book, The Signal and the...Ch. 10.2 - NW Lipitor The drug Lipitor is meant to reduce...Ch. 10.2 - Nexium Nexium is a drug that can be used to reduce...Ch. 10.2 - Fatal Traffic Accidents According to the National...Ch. 10.2 - Eating Together In December 2001, 38% of adults...Ch. 10.2 - NW Taught Enough Math In 1994, 52% of parents with...Ch. 10.2 - Living Alone? In 2000, 58% of females aged 15 and...Ch. 10.2 - Prob. 23AYUCh. 10.2 - Prob. 24AYUCh. 10.2 - Accuracy of the Drive Thru According to QSR...Ch. 10.2 - Prob. 26AYUCh. 10.2 - NW Small-Sample Hypothesis Test Professors Honey...Ch. 10.2 - Small-Sample Hypothesis Test In 1997, 4% of...Ch. 10.2 - Statistics in the Media A headline read, More Than...Ch. 10.2 - Prob. 31AYUCh. 10.2 - Political Philosophy According to Gallup, 21% of...Ch. 10.2 - Prob. 33AYUCh. 10.2 - Accept versus Do Not Reject In the United States,...Ch. 10.2 - Prob. 35AYUCh. 10.2 - Putting It Together: Lupus Based on historical...Ch. 10.2 - Putting It Together: Naughty or Nice? Yale...Ch. 10.2 - Explaining the Concepts 40. Explain what a P-value...Ch. 10.2 - Prob. 41AYUCh. 10.2 - Suppose we are testing the hypothesis Ho : p =...Ch. 10.2 - Discuss the advantages and disadvantages of using...Ch. 10.2 - The headline reporting the results of a poll...Ch. 10.2 - Explain what statistical significance means.Ch. 10.3 - a. Determine the critical value for a right-tailed...Ch. 10.3 - a. Determine the critical value for a right-tailed...Ch. 10.3 - To test H0 : = 50 versus H1 : 50, a simple...Ch. 10.3 - Prob. 4AYUCh. 10.3 - To test H0 : = 100 versus H1 : 100, a simple...Ch. 10.3 - Prob. 6AYUCh. 10.3 - Prob. 7AYUCh. 10.3 - To test H0 : = 4.5 versus H1 : 4.5, a simple...Ch. 10.3 - To test H0 : = 105 versus H1 : 105, a simple...Ch. 10.3 - To test H0 : = 45 versus H1 : 45, a simple...Ch. 10.3 - You Explain It! ATM Withdrawals According to the...Ch. 10.3 - You Explain It! Are Women Getting Taller? In 1990,...Ch. 10.3 - NW Ready for College? The ACT is a college...Ch. 10.3 - SAT Verbal Scores Do students who learned English...Ch. 10.3 - Effects of Alcohol on the Brain In a study...Ch. 10.3 - Effects of Plastic Resin Para-nonylphenol is found...Ch. 10.3 - Credit Scores A Fair Isaac Corporation (FICO)...Ch. 10.3 - TVaholics According to the American Time Use...Ch. 10.3 - Age of Death-Row Inmates In 2002, the mean age of...Ch. 10.3 - Energy Consumption In 2001, the mean household...Ch. 10.3 - NW Waiting in Line The mean waiting time at the...Ch. 10.3 - Reading Rates Michael Sullivan, son of the author,...Ch. 10.3 - Prob. 23AYUCh. 10.3 - Filling Bottles A certain brand of apple juice is...Ch. 10.3 - Starbucks Stock The volume of a stock is the...Ch. 10.3 - Study Time Go to...Ch. 10.3 - Prob. 27AYUCh. 10.3 - Prob. 28AYUCh. 10.3 - Problem 25 25. Starbucks Stock The volume of a...Ch. 10.3 - Problem 26 24. Filling Bottles A certain brand of...Ch. 10.3 - Statistical Significance versus Practical...Ch. 10.3 - Statistical Significance versus Practical...Ch. 10.3 - Accept versus Do Not Reject The mean IQ score of...Ch. 10.3 - Reading at Bedtime It is well-documented that...Ch. 10.3 - Whats the Problem? The head of institutional...Ch. 10.3 - Prob. 38AYUCh. 10.3 - Prob. 39AYUCh. 10.4 - Prob. 1AYUCh. 10.4 - A simple random sample of size n = 200 individuals...Ch. 10.4 - Prob. 3AYUCh. 10.4 - Prob. 4AYUCh. 10.4 - Prob. 5AYUCh. 10.4 - Prob. 6AYUCh. 10.4 - Prob. 7AYUCh. 10.4 - The Atomic Bomb In October 1945, the Gallup...Ch. 10.4 - Course Redesign Pass rates for Intermediate...Ch. 10.4 - Number of Credit Cards According to the Federal...Ch. 10.4 - Prob. 11AYUCh. 10.4 - Prob. 12AYUCh. 10.4 - Prob. 13AYUCh. 10.4 - Prob. 14AYUCh. 10.4 - Prob. 15AYUCh. 10.4 - Prob. 16AYUCh. 10.4 - Prob. 17AYUCh. 10.4 - Confidence Intervals Suppose you wish to determine...Ch. 10.4 - Prob. 19AYUCh. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - Prob. 23AYUCh. 10.4 - Prob. 24AYUCh. 10.4 - Prob. 25AYUCh. 10 - For Problems 1 and 2, (a) determine the null and...Ch. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - To test H0 : = 50 versus H1 : 50, a simple...Ch. 10 - In Problems 7 and 8, test the hypothesis at the =...Ch. 10 - In Problems 7 and 8, test the hypothesis at the =...Ch. 10 - Prob. 9RECh. 10 - Emergency Room The proportion of patients who...Ch. 10 - Linear Rotary Bearing A linear rotary bearing is...Ch. 10 - Prob. 12RECh. 10 - Conforming Golf Balls The U.S. Golf Association...Ch. 10 - Studying Enough? College mathematics instructors...Ch. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Explain the difference between accepting and not...Ch. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 1CTCh. 10 - The trade magazine QSR routinely examines...Ch. 10 - Did you get your 8 hours of sleep last night? is a...Ch. 10 - The outside diameter of a manufactured part must...Ch. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - CASE STUDY How Old Is Stonehenge? Approximately...
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- In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the t-interval procedure, or neither. A random sample of size 20 is taken from a population. A normal probability plot of the sample data shows three outliers but is otherwise roughly linear. Removal of the outliers is questionable. The population standard deviation is unknown.arrow_forwardSuppose that you take 1000 simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will contain the value of the unknown parameter?arrow_forwardProblem 4: Explain why a 100% confidence interval for µ can never be constructed from a sample. Hint: What would α be for a 100% confidence interval? How would this affect Zα/2 ?arrow_forward
- If the null hypothesis H0 : μ = 13.0 is rejected at α = 0.01 when a mean of 17.0 is obtained from a random sample, one could also say that : a. the 99% confidence interval for the population mean does not contain the value 13.0. b. the 99% confidence interval for the population mean contains the value 17.0 c. the 99% confidence interval for the population mean contains the value 17.0 d. the 1% confidence interval for the population mean does not contain the value 13.0.arrow_forward. A researcher collects a sample of 24 measurements from a population and wishes to find a 99% confidence interval for the population mean. What value should he use for t*? b. If he instead decides to use a 95% confidence interval, will the interval be wider or be narrower or stay the same? Why?arrow_forwardSuppose you are testing the hypotheses H0:μ=10 and Ha:μ≠10, and the p−value is 0.06. Would a 95% confidence interval for μμ include the value 10? Answer Choices: No. A p−valuep−value of 0.06 indicates that the results observed are statistically significant at the 5% level, so the 95% confidence interval will not include 10. No. A p−valuep−value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will not include 10. Yes. A p−valuep−value of 0.06 indicates that the results observed are statistically significant at the 5% level, so the 95% confidence interval will include 10. Yes. A p−valuep−value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will include 10.arrow_forward
- In general, when the sample size is small (n<30) and the variance of the population is known, it is better to build the confidence interval using the …. t distribution z distribution, as long as the population is normally distributed t distribution, as long as the population is normally distributed CLT does not apply to small samples, so one cannot set up the confidence intervalarrow_forwardSuppose you are testing the hypotheses H0:μ=10 and Ha:μ≠10, and the p−value is 0.06. Would a 90% confidence interval for μ include the value 10? Answer choices: No. A p−valuep−value of 0.06 indicates that the results observed are statistically significant at the 10% level, so the 90% confidence interval will not include 10. No. A p−valuep−value of 0.06 indicates that the results observed are not statistically significant at the 10% level, so the 90% confidence interval will not include 10. Yes. A p−valuep−value of 0.06 indicates that the results observed are statistically significant at the 10% level, so the 90% confidence interval will include 10. Yes. A p−valuep−value of 0.06 indicates that the results observed are not statistically significant at the 10% level, so the 90% confidence interval will include 10.arrow_forwardA statistics student wants to conduct a study to determine the proportion of workers in Cititon who commute to another town for work. If the student wants a 90% confidence interval with a margin of error of 2%, how many workers should be in her sample?arrow_forward
- 4. Raul is analyzing a set of data he collected and creating a confidence interval. If he chose to reduce the size of the sample and increase the level of confidence, how would that affect the confidence interval? Explain.A. The size of the confidence interval would decrease because Raul would be dividing by a larger z-score and multiplying by a smaller sample size.B. The size of the confidence interval would increase because Raul would be dividing by a smaller z-score and multiplying a larger sample size.C. The size of the confidence interval would increase because Raul would be multiplying by a larger z-score and dividing by a smaller sample size.D. The size of the confidence interval would decrease because Raul would be multiplying by a smaller z-score and dividing by a smaller sample sizearrow_forward2) A researcher is deciding between a sample size of n=250 and a sample of size n=500. Compared to using a sample size of n=500, a 95% confidence interval based on a sample size of n=250 will be * A) narrower and would involve a larger risk of being incorrect. B) wider and would involve a smaller risk of being incorrect. C) wider and would involve a larger risk of being incorrect. D) wider and would involve the same risk of being incorrect. E) narrower and would have the same risk of being incorrect.arrow_forwardWe want to compare cholesterol levels between men and women, so we collect a sample of 20 women and 30 men. The group of men in our sample have a mean of 240.0 with standard deviation 35.0, and the women have a mean of 210.0 with standard deviation 30.0. What is the null hypothesis? Note that two-sample problems (like this one) were not discussed in class, but you should know the answer (or at least be able to provide a good guess below) based on what was covered in class. Group of answer choices The mean cholesterol level in men is equal to the mean cholesterol level in women The mean cholesterol level in men is different than the mean cholesterol level in women The mean cholesterol level in men is less than the mean cholesterol level in women The mean cholesterol level in men is less than the mean cholesterol level in womenarrow_forward
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