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The t test for comparing two means is to the Wilcoxon test (for independent samples) as the matched pairs t test is to the __________ (for dependent samples in matched pairs). Use the previous information to answer the following questions. a. What is the population of interest? b. Do you believe that the proportion of diseased sharks in the sample is likely less than,... Reconsider Dr. Sameers research question about how much time Cal Poly students spend on watching television. Suppose that Dr. Sameer surveys a random sample of 100 Cal Poly students, and for this... As with a jury trial, another analogy to hypothesis testing involves medical diagnostic tests. These tests aim to indicate whether or not the patient has a particular disease. But the tests are not... When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In... Construct a 95% confidence interval for a population proportion using repeated tests of significance to develop an interval of plausible values based on a sample proportion of 0.52 from a sample of... A small metal bar, whose initial temperature was 20 C, is dropped into a large container of boiling water. How long will it take the bar to reach 90 C if it is known that its temperature increases 2... A thermometer reading 70 F is placed in an oven preheated to a constant temperature. Through a glass window in the oven door, an observer records that the thermometer reads 110 F after 12 minute and... Suppose that a table of part counts is generalized as follows: where a, b, and k are positive integers. Let A denote the event that a part is from supplier 1, and let B denote the event that a part... In problem find the general solution of the given higher order differential equation. y (4) + y''' + y'' = 0 A test instrument needs to be calibrated periodically to prevent measurement errors. After some time of use without calibration, it is known that the probability density function of the measurement... According to a 2011 report by the United States Department of Labor, civilian Americans spend 2.75 hours per day watching television. A faculty researcher, Dr.Sameer, at California Polytechnic State... Normal (or average) body temperature of humans is often thought to be 98.6 F. Is that number really the average? To test this, we will use a data set obtained from 65 healthy female volunteers aged... A survey of 1507 smartphone users showed that 38% of them purchased insurance at the same time as they purchased their phones. Determine whether descriptive or inferential statistics were used. A Gallup survey of 1001 randomly selected U.S. adults conducted May 2011 asked, In your opinion, which one of the following is the main reason why students get education beyond high school?... From which of the following studies can cause-and effect conclusions potentially be drawn? If cause and effect can be determined, explain what may cause what. a. From a random sample of city... Time magazine reported that 83% of people with household earnings over $200,000 have a bachelors degree. Define a population that may have been used and explain how the sample might have been... The following segmented bar graph was produced from data collected in the 2010 General Social Survey with regard to the question Can people be trusted? a. About what proportion of the liberals... The average number of pupils per teacher in each state is shown. Construct a grouped frequency distribution with 6 classes. Draw a histogram, frequency polygon, and ogive. Analyze the distribution.... In 1973 a lawsuit was filed against the University of California at Berkeley, alleging sex discrimination in its graduate admissions policies. The following table pertains to two of the graduate... To investigate whether giving chest-compression-only (CC) instructions rather than standard cardiopulmonary resuscitation (CPR) instructions to the witness of a heart attack will improve the victims... Reconsider the data from the previous exercise about investigating whether giving chest-compression-only (CC) instructions rather than standard cardiopulmonary resuscitation (CPR) instructions to the... Reconsider the data from the previous exercise about investigating whether giving chest-compression-only (CC) instructions rather than standard cardiopulmonary resuscitation (CPR) instructions to the... Construct a histogram, frequency polygon, and ogive for the data in Exercise 6. Data from 6 79 70 71 63 83 90 72 66 80 73 68 70 51 66 74 67 54 81 62 66 78 68 57 96 78 55 76 60 85 71 66 57 77 88 93 70... The data show the number of paid days off workers get in a sample of various countries of the world. Find the mean, median, midrange, and mode for the data. 30 The data show the number of children U.S. Presidents through Obama, had. Construct an ungrouped frequency distribution and find the mean and modal class. 0 5603 4 1 4 10 8 4 4 2 61 2 2 If the mean of five values is 64, find the sum of the values. What is the relationship between the variance and the standard deviation? The number of annual precipitation days for one-half of the 50 largest U.S. cities is listed below. Find the range, variance, and standard deviation of the data. 135 128 136 116 123 88 98 79 44 97... The mean and standard deviation of the number of hours the employees work in the music store per week are, respectively, 18.6 and 3.2 hours. If the owner increases the number of hours each employee... Recall exercise 5.2.29 about the use of incentives to encourage people to participate in a telephone survey. A team of researchers (Singer et al., 2000) used the Survey of Consumer Attitudes to... If two dice are rolled one time, find the probability of getting these results: a. A sum of 5 b. A sum of 9 or 10 c. Doubles Suppose that P(A) = 0.42, P(B) = 0.38, and P(A or B) = 0.70. Are A and B mutually exclusive? Explain. Seventy-five percent of female prison inmates are mothers. If 3 female prison inmates are selected at random, what is the probability that none are mothers? Smart TVs have seen success in the United States market. During the 2nd quarter of 2015 45% of TVs sold in the United States were Smart TVs. Thats an increase of 11% from 2014. Choose three... A flashlight has 6 batteries, 2 of which are defective. If 2 are selected at random without replacement, find the probability that both are defective. Reconsider the data in the dotplot in the previous question about the number of states that students had visited. Suppose the observation recorded as 43 states is a typo and was meant to be 34. If we... In a scientific study there are 8 guinea pigs, 5 of which are pregnant. If 3 are selected at random without replacement, find the probability that all are pregnant. Reconsider the data in the dotplots from the previous question about average monthly temperatures for San Francisco and Raleigh. a. Determine the median temperature for each city. What do these... A die is rolled twice. Find the probability of getting at least one 6. Do people tend to spend money differently based on perceived changes in wealth? In a study conducted by Epley et al. (2006), 47 Harvard undergraduates were randomly assigned to receive either a bonus... How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same task? How many ways can the students be chosen if they are each given a different task? How many different ways can a government researcher select 5 nuclear power plants from 9 nuclear power plants in Pennsylvania? How many different signals can be made by using at least 3 different flags if there are 5 different flags from which to select? A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense accounts. If a person selects 1 of each option, how many different options does she or he have? A promotional MP3 player is available with the capacity to store 100 songs, which can be reordered at the push of a button. How many different arrangements of these songs are possible? Reconsider the previous exercises about the study of whether there is an association between number of Facebook friends and a persons sex. The following is output from carrying out the randomization... Reconsider the previous exercises about the study of whether there is an association between number of Facebook friends and a persons sex. a. Use the 2SD method and the information available in the... There are 6 Republican, 5 Democrat, and 4 Independent candidates. How many different ways can a committee of 3 Republicans, 2 Democrats, and 1 Independent be selected? You want to sample 40 NBA players. Your friend who is a big NBA fan has offered to give you a list of his 40 favorite players. a. Discuss why your friends list is not a random sample and is biased.... Reconsider the previous exercises about the study of whether there is an association between number of Facebook friends and a persons sex. a. Use the 2SD method and the information available in the... Reconsider the previous two exercises about haircut prices. Th e sample mean prices were $21.85 for males and $54.05 for females, a difference of $32.20. Which are appropriate interpretations of the... In a large metropolitan area, 65% of commuters ride the train only, 18% ride the bus only, and 6% ride both the train and the bus to get to the central business district. a. What is the probability... Suppose an instructor wants to see if there is an association between the amount of sleep students get and their ability to memorize words. The instructor asks her students to suggest ways to collect... Reconsider the reaction time study in the previous question. a. Describe how you would conduct this study with an independent samples design? b. Which design, paired with repeated measures or... Reconsider the reaction time study in the previous questions a. Describe how you would conduct this study with a paired design using matching? b. Which design, paired with repeated measures or paired... Reconsider the memorization and exercise study in the previous question. a. Describe how you would conduct this study with an independent samples design? b. Which design, paired with repeated... At Shoe World, the manager finds the probability that a woman will buy 1, 2, 3, or 4 pairs of shoes is shown. Construct a graph for the distribution. Number X 1 3 0.08 4 0.02 Probability P(X) 0.63... Does listening to music affect how many words you can memorize? Student researchers tried to answer this question by having 20 subjects listen to music while trying to memorize words and also had the... If 3% of all cars fail the emissions inspection, find the probability that in a sample of 90 cars, 3 will fail. Use the Poisson approximation. Reconsider the previous exercises on memorization with and without a delay. If you havent already done so, put the data file MemorizationDelay into the Matched Pairs applet and do at least 1,000... In a survey, 63% of Americans said they own an answering machine. If 14 Americans are selected at random, find the probability that exactly 9 own an answering machine. Recall the previous exercises about estimating energy expenditure. Previously you carried out a theory-based matched pairs test to investigate whether, on average, men in the study significantly... A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their... In 2014 the percentage of the U.S. population that speak English only in the home is 78.9%. Choose 15 U.S. people at random. What is the probability that exactly one-third of them speak English only?... A survey found that 10% of Americans believe that they have seen a UFO. For a sample of 10 people, find each probability: a. That at least 2 people believe that they have seen a UFO b. That 2 or 3... A survey was taken of the number of daily newspapers a person reads per day. Find the mean, variance, and standard deviation of the distribution. P(X) 0.42 3 2 2 0.35 0.03 0.20 The Nellie Mae organization conducts an extensive annual study of credit card usage by college students. For their 2004 study, they analyzed credit bureau data for a random sample of 1,413... Reconsider the previous two exercises. a. Determine a 95% confidence interval for the difference in long-run probabilities of successfully abstaining from smoking between the two groups. b. Interpret... Under what conditions should the finite population correction factor be used in determining the standard error of a sampling distribution? A company in Hawaii manages properties for owners and arranges for the properties to be rented. A property owner who is considering using the company is told that 10% of the bookings result in a... Reconsider the data from the previous study about the effect of specialized prenatal care for women with gestational diabetes. Do the data provide evidence of a relationship between the type of... The Wilcoxon signed-rank test can be used to perform a hypothesis test for a population median, , as well as for a population mean, . Why is that so? A recent study examined hearing loss data for 1,771 U.S. teenagers. In this sample, 333 were found to have some level of hearing loss. News of this study spread quickly, with many news articles... Define the following terms: a. Slope b. y-intercept (a) In Exercise 3.7, how many of the 15 trucks would you expect to have blowouts? (b) What is the variance of the number of blowouts experienced by the 15 trucks? What does that mean? Exercise 3.7 In... Suppose you have very little knowledge about professional ice hockey, but you want to get a sense of how many goals are scored per game on average and what a typical margin of victory is. You decide... Use this data set: 13, 18, and 11 to find the following: (X 14) = The ____ column in a frequency distribution is a restatement of the information in the cumulative frequency column. The Reading the Mind in the Eyes Test (RMET) measures the ability of a person to infer the mental state of another from looking at facial expressions. Researchers Domes et al. (Biological Psychiatry,... The median separates the top ____% of scores from the bottom ____% of scores. Is the sample large enough to use a theory-based test? As mentioned earlier, sand is used in the filter. Different filters had different amounts of sand. The students split the filters into two... Suppose you want to compare proportions of adults who have donated blood within the past year among California, Iowa, Massachusetts, and Michigan residents. You take a random sample of 200 adults... Do different generations view marriage differently? A 2010 survey of a random sample of adult Americans conducted by the Pew Research Center asked the following question of each participant: Is... Kurtosis refers to how ____ or ____ a frequency distribution is. The ____ is symmetric, has the highest point in the middle, and includes frequencies that decrease as one moves away from the midpoint. In a September 2013 poll conducted by the Pew Research Center, they asked a random sample of U.S. adults if they owned a smart phone. The results are shown in the following table by race. a. What... Suppose two surveys are done to see if Democrats, Independents, and Republicans differ on their agreement with a certain issue and the results are shown in the following two tables. a. Input the... If one has interval or ratio data and the data set is skewed, one should use a ____ as the measure of central tendency. The range tells the distance from the ____ score to the ____ score. Because populations are so ____, it is practically impossible to measure variability in them. Recall Exercise 8.1.12 about whether different generations view marriage differently. The corresponding data are available in the file MarriageViews. a. State the appropriate null and alternative... The information used from each case, in calculating variance and standard deviation, is its ____ score. The average deviation score is not useful as a measure of variability because the ____ of the deviation scores is always ____. ____ is the abbreviation for population variance. If the standard deviation is small, then the scores fall relatively close to the ____. In a study of the relationship between sleep apnea and hypertension (New England Journal of Medicine, 2000), researchers Peppard et al. categorized the participants by the severity of sleep apnea at... Given the following interval-level numbers, calculate the mean: 0.13, 0.28, 0.42, 0.36, and 0.26. Calculate s for these data, which have a mean of 37.20: 24, 36, 42, 50, and 34. What are the SAT subtest scores associated with the extreme 15% of scores?
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