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Mathematical Interest Theory 3rd Edition Leslie Jane, James Daniel, Federer Vaaler - Solutions

The dotplot below depicts the last digits of the weights of 153 males in Data Set 1 "Body Data." Do those digits appear to be from a normally distributed population? If not, does the large sample size of n = 153 justify treating the values as if they were from a normal distribution? Can the sample
95% confidence; n = 25, s = 0.24 mg. Use the given information to find the number of degrees of freedom, the critical values X2L and X2R, and the confidence interval estimate of S. The samples are from Appendix B and it is reasonable to assume that a simple random sample has been selected from a
95% confidence; n = 37, s = 0.01648 g. Use the given information to find the number of degrees of freedom, the critical values X2L and X2R, and the confidence interval estimate of S. The samples are from Appendix B and it is reasonable to assume that a simple random sample has been selected from a
99% confidence; n = 147, s = 65.4. Use the given information to find the number of degrees of freedom, the critical values X2L and X2R, and the confidence interval estimate of S. The samples are from Appendix B and it is reasonable to assume that a simple random sample has been selected from a
Use the given information to find the number of degrees of freedom, the critical values X2L and X2R, and the confidence interval estimate of S. The samples are from Appendix B and it is reasonable to assume that a simple random sample has been selected from a population with a normal
Use these male measures of female attractiveness given in Exercise 17 "Speed Dating" in Section 7-2 on page 329: 7, 8, 2, 10, 6, 5, 7, 8, 8, 9, 5, 9. Use the bootstrap method with 1000 bootstrap samples. a. Construct a 99% confidence interval estimate of the population mean. Is the result
Use these female measures of male attractiveness given in Exercise 18 "Speed Dating" in Section 7-2 on page 329: 5, 8, 3, 8, 6, 10, 3, 7, 9, 8, 5, 5, 6, 8, 8, 7, 3, 5, 5, 6, 8, 7, 8, 8, 8, 7. Use the bootstrap method with 1000 bootstrap samples. a. Construct a 99% confidence interval estimate of
Use these Old Faithful eruption duration times (seconds): 125 203 205 221 225 229 233 233 235 236 236 237 238 238 239 240 240 240 240 241 241 242 242 242 243 243 244 245 245 245 245 246 246 248 248 248 249 249 250 251 252 253 253 255 255 256 257 258 262 264 a. Use the bootstrap method with 1000
Repeat Exercise 19 "Old Faithful" using the standard deviation instead of the mean. Compare the confidence interval to the one that would be found using the methods of Section 7-3. If the two confidence intervals are very different, which one is better? Why? Repeat exercise 19 Use these Old
Weights of respondents were recorded as part of the California Health Interview Survey. The last digits of weights from 50 randomly selected respondents are listed below. 5 0 1 0 2 0 5 0 5 0 3 8 5 0 5 0 5 6 0 0 0 0 0 0 8 5 5 0 4 5 0 0 4 0 0 0 0 0 8 0 9 5 3 0 5 0 0 0 5 8 a. Use the bootstrap method
Repeat Exercise 21 "Analysis of Last Digits" using the mean instead of the standard deviation. Compare the confidence interval to the one that would be found using the methods of Section 7-2. Weights of respondents were recorded as part of the California Health Interview Survey. The last digits of
Repeat Exercise 21 "Analysis of Last Digits" using 10,000 bootstrap samples instead of 1000. What happens?Weights of respondents were recorded as part of the California Health Interview Survey. The last digits of weights from 50 randomly selected respondents are listed below.5 0 1 0 2 0 5 0 5 0 3 8
Use the sample data given in Exercise 21 "Analysis of Last Digits." a. Do the original sample values appear to be from a normally distributed population? Explain. b. Do the 1000 bootstrap samples appear to have means that are from a normally distributed population? Explain. c. Do the 1000 bootstrap
In a Consumer Reports Research Center survey, women were asked if they purchase books online, and responses included these: no, yes, no, no. Letting "yes" = 1 and letting "no" = 0, here are ten bootstrap samples for those responses: {0, 0, 0, 0}, {1, 0, 1, 0}, {1, 0, 1, 0}, {0, 0, 0, 0}, {0, 0, 0,
In a 3M Privacy Filters poll, respondents were asked to identify their favorite seat when they fly, and the results include these responses: window, window, other, other. Letting "window" = 1 and letting "other" = 0, here are ten bootstrap samples for those responses: {0, 0, 0, 0}, {0, 1, 0, 0},
Here is a sample of amounts of weight change (kg) of college students in their freshman year (from Data Set 6 "Freshman 15" in Appendix B): 11, 3, 0, -2, where -2 represents a loss of 2 kg and positive values represent weight gained. Here are ten bootstrap samples: {11, 11, 11, 0}, {11, -2, 0, 11},
Here is a sample of measured radiation emissions (cW/kg) for cell phones (based on data from the Environmental Working Group): 38, 55, 86, 145. Here are ten bootstrap samples: {38, 145, 55, 86}, {86, 38, 145, 145}, {145, 86, 55, 55}, {55, 55, 55, 145}, {86, 86, 55, 55}, {38, 38, 86, 86}, {145, 38,
In a Harris poll of 2036 adults, 40% said that they prefer to get their news online. Construct a 95% confidence interval estimate of the percentage of all adults who say that they prefer to get their news online. Can we safely say that fewer than 50% of adults prefer to get their news online?
In a TE Connectivity survey of 1000 randomly selected adults, 2% said that they "did not know" when asked if they felt comfortable being in a self-driving vehicle. There is a need to construct a 95% confidence interval estimate of the proportion of all adults in the population who don't know. a.
Listed below are Richter scale magnitudes of randomly selected earthquakes. a. Identify the best point estimate of the population mean m. b. Construct a 95% confidence interval estimate of the mean magnitude of the population of earthquakes. c. Write a statement that interprets the confidence
You have been hired by your new employer to survey adults about printed newspaper subscriptions. a. If you want to estimate the percentage of adults who have a paid subscription to a printed newspaper, how many adults must you survey if you want 95% confidence that your percentage has a margin of
Use the sample data from Exercise 7 "Wristwatch Accuracy" and construct a 95% confidence interval estimate of σ. Students of the author collected data measuring the accuracy of wristwatches. The times (sec) below show the discrepancy between the real time and the time indicated on the wristwatch.
Find the mean, median, standard deviation, and range. Are the results statistics or parameters? Listed below are the arrival delay times (min) of randomly selected American Airlines flights that departed from JFK in New York bound for LAX in Los Angeles. Negative values correspond to flights that
Use the results from Exercise 1 "Statistics" with the range rule of thumb to find arrival times separating those that are significantly low and those that are significantly high. Is the arrival delay time of 103 min significantly high? Listed below are the arrival delay times (min) of randomly
Construct a 95% confidence interval estimate of the mean arrival delay time for the population of all American Airlines flights from JFK to LAX. Listed below are the arrival delay times (min) of randomly selected American Airlines flights that departed from JFK in New York bound for LAX in Los
Using a larger data set than the one given for Exercises 1-4, assume that airline arrival delays are normally distributed with a mean of -5.0 min and a standard deviation of 30.4 min. a. Find the probability that a randomly selected flight has an arrival delay time of more than 15 min. b. Find the
A random sample consists of 48 times (min) required for American Airlines flights to taxi out for takeoff. All of the flights are American Airlines flights from New York (JFK) to Los Angeles and they all occurred in January of a recent year. The 48 taxi-out times are depicted in the histogram and
A bottle contains a label stating that it contains Spring Valley pills with 500 mg of vitamin C, and another bottle contains a label stating that it contains Bayer pills with 325 mg of aspirin. When testing claims about the mean contents of the pills, which would have more serious implications:
Identified and find the value of the test statistic. (Refer to Table 8-2 on page 362 to select the correct expression for evaluating the test statistic.)Refer to Exercise 5,Claim: Most adults would erase all of their personal information online if they could. A GFI Software survey of 565 randomly
The test statistic of z = 1.00 is obtained when testing the claim that ( > 0.3? a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
The test statistic of z = -2.50 is obtained when testing the claim that ( < 0.75. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
The test statistic of z = 2.01 is obtained when testing the claim that p ( 0.345?a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.b. Find the P-value.c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
The test statistic of z = -1.94 is obtained when testing the claim that p = 3 / 8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
Use a significance level of α = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: More
Use a significance level of α = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: Fewer
Use a significance level of α = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: The mean
Use a significance level of α = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: The
Provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.)The proportion of people with
Provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.)The proportion of adults who
Provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as ( = 0.1.)The proportion of people who
The drug Eliquis (apixaban) is used to help prevent blood clots in certain patients. In clinical trials, among 5924 patients treated with Eliquis, 153 developed the adverse reaction of nausea (based on data from Bristol-Myers Squibb Co.). Use a 0.05 significance level to test the claim that 3% of
Adults were randomly selected for a Newsweek poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 481 were in favor, 401 were opposed, and 120 were unsure. A politician claims that people
Data Set 27 "M&M Weights" in Appendix B lists data from 100 M&Ms, and 27% of them are blue. The Mars candy company claims that the percentage of blue M&Ms is equal to 24%. Use a 0.05 significance level to test that claim. Should the Mars company take corrective action?Test the given claim. Identify
The drug Oxy-Contin (oxycodone) is used to treat pain, but it is dangerous because it is addictive and can be lethal. In clinical trials, 227 subjects were treated with Oxy-Contin and 52 of them developed nausea (based on data from Purdue Pharma L.P.). Use a 0.05 significance level to test the
In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Use a 0.01 significance level to test the claim that the return rate is less than 15%.Test the given
The company Drug Test Success provides a "1-Panel-THC" test for marijuana usage. Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative). Use a 0.05 significance level to test the claim that less than 10% of the test results are wrong. Does the
A random sample of 860 births in New York State included 426 boys. Use a 0.05 significance level to test the claim that 51.2% of newborn babies are boys. Do the results support the belief that 51.2% of newborn babies are boys?Test the given claim. Identify the null hypothesis, alternative
Trials in an experiment with a polygraph yield 98 results that include 24 cases of wrong results and 74 cases of correct results (based on data from experiments conducted by researchers Charles R. Honts of Boise State University and Gordon H. Barland of the Department of Defense Polygraph
Through the sample of the first 49 Super Bowls, 28 of them were won by teams in the National Football Conference (NFC). Use a 0.05 significance level to test the claim that the probability of an NFC team Super Bowl win is greater than one-half?Test the given claim. Identify the null hypothesis,
This question was posted on the America Online website: Do you believe the Loch Ness monster exists? Among 21,346 responses, 64% were "yes." Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that
In a program designed to help patients stop smoking, 198 patients were given sustained care, and 82.8% of them were no longer smoking after one month (based on data from "Sustained Care Intervention and Post-discharge Smoking Cessation Among Hospitalized Adults," by Rigotti et al., Journal of the
For each of the three different methods of hypothesis testing (identified in the left column), enter the P-values corresponding to the given alternative hypothesis and sample data. Note that the entries in the last column correspond to the Chapter Problem. How do the results agree with the large
a. Are any of the three requirements violated? Can the methods of this section be used to test the claim?b. It was stated that we can easily remember how to interpret P-values with this: "If the P is low, the null must go." What does this mean?c. Another memory trick commonly used is this: "If the
The drug Lipitor (atorvastatin) is used to treat high cholesterol. In a clinical trial of Lipitor, 47 of 863 treated subjects experienced headaches (based on data from Pfizer). The accompanying TI@83/ 84 Plus calculator display shows results from a test of the claim that fewer than 10% of treated
In a TE Connectivity survey of 1000 adults, 29% said that they would feel comfortable in a self-driving vehicle. The accompanying Stat-Crunch display results from testing the claim that more than 1/ 4 of adults feel comfortable in a self-driving vehicle.Identify the indicated values or interpret
A Pew Research Center poll of 2076 randomly selected adults showed that 91% of them own cell phones. The following Minitab display results from a test of the claim that 92% of adults own cell phones.MinitabIdentify the indicated values or interpret the given display. Use the normal distribution as
In a USA Today survey of 510 people, 53% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Stat-disk display results from a test of the claim that half of us say that we should replace passwords with biometric security.Identify the indicated
Mickey D's In a study of the accuracy of fast food drive-through orders, McDonald's had 33 orders that were not accurate among 362 orders observed (based on data from QSR magazine). Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy
Data Set 23 "Old Faithful" in Appendix B includes data from 250 random eruptions of the Old Faithful geyser. The National Park Service makes predictions of times to the next eruption, and the data set includes the errors (minutes) in those predictions. The accompanying Stat-disk display results
Data Set 17 "Course Evaluations" in Appendix B includes data from student evaluations of courses. The summary statistics are n = 93, x = 3.91, s = 0.53. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00.Assume that a simple
Data Set 18 "Speed Dating" in Appendix B includes "attractive" ratings of male dates made by the female dates. The summary statistics are n = 199, x̅ = 6.19, s = 1.99. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00?Assume that a simple
Assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or
Listed below are the heights (cm) for the simple random sample of female supermodels Lima, Bundchen, Ambrosio, Ebanks, Iman, Rubik, Kurkova, Kerr, Kroes, Swanepoel, Prinsloo, Hosk, Kloss, Robinson, Heatherton, and Refaeli. Use a 0.01 significance level to test the claim that supermodels have
Use the pulse rates of adult females listed in Data Set 1 "Body Data" to test the claim that the mean is less than 75 bpm. Use a 0.05 significance level?Use the data set from Appendix B to test the given claim. Use the P-value method unless your instructor specifies otherwise.
How do the results from Exercise 13 "Course Evaluations" change if σ is known to be 0.53? Does the knowledge of σ have much of an effect?
How do the results from Exercise 14 "Speed Dating" change if σ is known to be 1.99? Does the knowledge of σ have much of an effect?
For the sample data in Example 1 "Adult Sleep" from this section, Minitab and Stat-Crunch show that the hypothesis test has power of 0.4943 of supporting the claim that m 6 7 hours of sleep when the actual population mean is 6.0 hours of sleep. Interpret this value of the power, then identify the
Data Set 32 "Airport Data Speeds" in Appendix B includes Sprint data speeds (mbps). The accompanying TI-83 / 84 Plus display results from using those data to test the claim that they are from a population having a mean less than 4.00 Mbps. Conduct the hypothesis test using these results.Test the
Tests in the author's statistics classes have scores with a standard deviation equal to 14.1. One of his last classes had 27 test scores with a standard deviation of 9.3. Use a 0.01 significance level to test the claim that this class has less variation than other past classes. Does a lower
The Brazil vending machine dispenses coffee, and a random sample of 27 filled cups have contents with a mean of 7.14 oz and a standard deviation of 0.17 oz. Use a 0.05 significance level to test the claim that the machine dispenses amounts with a standard deviation greater than the standard
Couples were recruited for a study of how many words people speak in a day. A random sample of 56 males resulted in a mean of 16,576 words and a standard deviation of 7871 words. Use a 0.01 significance level to test the claim that males have a standard deviation that is greater than the standard
Listed below are drive-through service times (seconds) recorded at McDonald's during dinner times (from Data Set 25 "Fast Food" in Appendix B). Assuming that dinner service times at Wendy's have standard deviation Ïƒ = 55.93 sec, use a 0.01 significance level to test the claim that service times
Listed below are weights (grams) from a simple random sample of "wheat" pennies (from Data Set 29 "Coin Weights" in Appendix B). U.S. Mint specifications now require a standard deviation of 0.0230 g for weights of pennies. Use a 0.01 significance level to test the claim that wheat pennies are
Listed below are weights (grams) from a simple random sample of "wheat" pennies (from Data Set 29 "Coin Weights" in Appendix B). U.S. Mint specifications now require a standard deviation of 0.0230 g for weights of pennies. Use a 0.01 significance level to test the claim that wheat pennies are
Use the data and the claim given in Exercise 1 to identify the null and alternative hypotheses and the test statistic. What is the sampling distribution of the test statistic?
For the sample data from Exercise 1, we get "P-value 6 0.01" when testing the claim that the new filling process results in volumes with the same standard deviation of 0.115 oz.a. What should we conclude about the null hypothesis?b. What should we conclude about the original claim?c. What do these
If we use the data given in Exercise 1, we get this 95% confidence interval estimate of the standard deviation of volumes with the new filling process: 0.1846 oz
A simple random sample of 153 men results in a standard deviation of 11.3 beats per minute (based on Data Set 1"Body Data" in Appendix B). The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the
Example 5 in Section 8-3 involved a test of the claim that humans have body temperatures with a mean equal to 98.6°F. The sample of 106 body temperatures has a standard deviation of 0.62°F. The conclusion in that example would change if the sample standard deviation s were 2.08°F or greater. Use
A simple random sample of birth weights of 30 girls has a standard deviation of 829.5 hg. Use a 0.01 significance level to test the claim that birth weights of girls have the same standard deviation as birth weights of boys, which is 660.2 hg (based on Data Set 4 "Births" in Appendix B).Test the
A random sample of 20 aluminum cola cans with thickness 0.0109 in. is selected and the axial loads are measured and the standard deviation is 18.6 lb. The axial load is the pressure applied to the top that causes the can to crush. Use a 0.05 significance level to test the claim that cans with
A county clerk in Essex County, New Jersey, selected candidates for positions on election ballots. Democrats were selected first in 40 of 41 ballots. Because he was supposed to use a method of random selection, Republicans claimed that instead of using randomness, he used a method that favored
Data Set 14 "Oscar Winner Age" in Appendix B lists ages of actresses when they won Oscars, and the summary statistics are n = 87, x̅ = 36.2 years, and s = 11.5 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win Oscars is greater than 30 years?
A simple random sample of 40 adult males is obtained, and the red blood cell count (in cells per microliter) is measured for each of them, with these results: n = 40, x̅ = 4.932 million cells per microliter, s = 0.504 million cells per microliter (from Data Set 1 "Body Data" in Appendix B). Use a
In a presidential election, 308 out of 611 voters surveyed said that they voted for the candidate who won (based on data from ICR Survey Research Group). Use a 0.05 significance level to test the claim that among all voters, the percentage who believe that they voted for the winning candidate is
Use the same BMI indexes given in Exercise 6. Use a 0.01 significance level to test the claim that recent Miss America winners are from a population with a standard deviation equal to 1.34, which was the standard deviation of BMI for winners from the 1920s and 1930s. Do recent winners appear to
Listed below are the numbers of deaths from lightning strikes in the United States each year for a sequence of 14 recent and consecutive years. Find the values of the indicated statistics.a. Meanb. Medianc. Standard deviationd. Variancee. Rangef. What important feature of the data is not revealed
Refer to the sample data in Cumulative Review Exercise 1.a. What is the level of measurement of the data (nominal, ordinal, interval, ratio)?b. Are the values discrete or continuous?c. Are the data categorical or quantitative?d. Is the sample a simple random sample?
Use the sample values given in Cumulative Review Exercise 1 to construct a 99% confidence interval estimate of the population mean. Assume that the population has a normal distribution. Write a brief statement that interprets the confidence interval?
The accompanying bar chart shows the numbers of lightning strike deaths broken down by gender for a recent period of nine years. What is wrong with the graph?
The graph in Cumulative Review Exercise 5 was created by using data consisting of 232 male deaths from lightning strikes and 55 female deaths from lightning strikes. Assume that these data are randomly selected lightning deaths and proceed to test the claim that the proportion of male deaths is
The graph in Cumulative Review Exercise 5 was created by using data consisting of 232 male deaths from lightning strikes and 55 female deaths from lightning strikes. Assume that these data are randomly selected lightning deaths and proceed to construct a 95% confidence interval estimate of the
Based on the results given in Cumulative Review Exercise 6, assume that for a randomly selected lightning death, there is a 0.8 probability that the victim is a male.a. Find the probability that three random people killed by lightning strikes are all males.b. Find the probability that three random
OxyContin (oxycodone) is a drug used to treat pain, but it is well known for its addictiveness and danger. In a clinical trial, among subjects treated with OxyContin, 52 developed nausea and 175 did not develop nausea. Among other subjects given placebos, 5 developed nausea and 40 did not develop
A study was conducted to investigate the association between cell phone use and hemispheric brain dominance. Among 216 subjects who prefer to use their left ear for cell phones, 166 were right-handed. Among 452 subjects who prefer to use their right ear for cell phones, 436 were right-handed (based
A trial was conducted with 75 women in China given a 100-yuan bill, while another 75 women in China were given 100 yuan in the form of smaller bills (a 50-yuan bill plus two 20-yuan bills plus two 5-yuan bills). Among those given the single bill, 60 spent some or all of the money. Among those given
A study investigated rates of fatalities among patients with serious traumatic injuries. Among 61,909 patients transported by helicopter, 7813 died. Among 161,566 patients transported by ground services, 17,775 died (based on data from "Association Between Helicopter vs Ground Emergency Medical
In one segment of the TV series Myth-Busters, an experiment was conducted to test the common belief that people are more likely to yawn when they see others yawning. In one group, 34 subjects were exposed to yawning, and 10 of them yawned. In another group, 16 subjects were not exposed to yawning,
The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we consider passenger cars and commercial trucks. Among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates (based on
In a study of Burger King drive-through orders, it was found that 264 orders were accurate and 54 were not accurate. For McDonald's, 329 orders were found to be accurate while 33 orders were not accurate (based on data from QSR magazine). Use a 0.05 significance level to test the claim that Burger

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