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Complete the derivation of Keplers third law (the part following Equation (10)). 2a romax = = 2ro 1- e 2roGM 2GM rovo 2. (10) In Exercises 112, plot the given point in a rectangular coordinate system. (1, 4) In a pest-eradication program, sterilized male flies are released into the general population each day. Ninety percent of those flies will survive a given day. How many flies should be released each... In Exercises 32-37, find the values of x and y. 35 18 y Use the diagram to write a plan for proof. PROVE LM = LQ N- P L -M Q Find the value of the variable. 16 36 28 Verify that ABC ~ DEF. Find the scale factor of ABC to DEF. AABC: AB = 10, BC = 16, CA = 20 ADEF: DE = 25, EF = 40, FD = 50 Find the value of each variable. Write your answers in simplest radical form. m V6 n Use a calculator to approximate the measure of A to the nearest tenth of a degree. A 12 C 7 Use a calculator to approximate the measure of A to the nearest tenth of a degree. A 11 B 5 Determine whether AB is a diameter of the circle. Explain your reasoning. A B ID Find the exact area of a circle with the given radius r or diameter d. Then find the area to the nearest hundredth. d = 23 cm Compute the surface area of revolution about the x-axis over the interval. y = e x , [0, 1] Compute the surface area of revolution about the x-axis over the interval. y=x-lnx, [1, e] In Exercises 8.49 and 8.50, we considered the study of one week of a 2006 college football season, during which the population of 53 FBS games had a mean spread (winning score minus losing score) of... What is the sensitivity of the test? Gynecology A drug company is developing a new pregnancy-test kit for use on an outpatient basis. The company uses the pregnancy test on 100 women who are known to... Suppose the scale for a data set is changed by multiplying each observation by a positive constant? 1. What is the effect on the median? 2. What is the effect on the mode? 3. What is the effect on... Construct a stem and leaf plot of time_100 using the first 3 most significant digits for the stem and the least significant digit for the leaf. So, for week 1, time_100 = 1280 which has a stem = 128... If we have 50 reported cases of angina and we want to select 5 for further review, then how many ways can we select these cases if order of selection matters? Suppose we want to check the accuracy of... What is the probability that at least 7 of the 10 hypertensives know they have high blood pressure? Hypertension A national study found that treating people appropriately for high blood pressure... Compute the PV under these altered assumptions. How does the true PV using a screening criterion of SCN 100 g/mL for identifying smokers compare with the PV based on self-reports obtained in Problem... If the manual measurements are regarded as the true measure of reactivity, then what is the sensitivity of automated DBP measurements? Hypertension Laboratory measures of cardiovascular reactivity... What is the specificity of automated DBP measurements? Hypertension Laboratory measures of cardiovascular reactivity are receiving increasing attention. Much of the expanded interest is based on the... Suppose there is a true probability (true efficacy) of 85% that the new antibiotic will work for an individual patient. Perform a simulation study on the computer, based on random number generation... What is standard deviation of the 1 mile running time over 18 weeks? Health Promotion A man runs 1 mile approximately once per weekend. He records his time over an 18-week period. The individual... Answer the question in problem 3.128 for the time period 20012006? The SEER data is also available for the time period 20012006 (period B) as shown in Table 3.20. Table 3.20 Breast cancer 1-year... Perform the test in Problem 9.11, and report a p-value? How much power would the study have if it had occurred under the planned mortality rates and sample size? In planning the study it was anticipated that 400 subjects would be enrolled per group and... How many lymphocytes would have to appear in the differential before you would feel the normal pattern was violated? Infectious Disease The differential is a standard measurement made during a blood... Provide a 95% CI for the percentage of males among patients discharged from Pennsylvania hospitals? Refer to the data in Table 2.13. Regard this hospital as typical of Pennsylvania hospitals. Table... The manager of a large hotel on the Riviera in southern France wanted to forecast the monthly vacancy rate (as a percentage) during the peak season. After considering a long list of potential... Compute the mean birth-weight for each of the six samples? Table 6.2: Sample of birth-weights (oz) obtained from 1000 consecutive deliveries at Boston City Hospital ID Numbers 0 1 2 3 10 11 12 13 14... Generate appropriate descriptive statistics of the screening test scores for those who did not default on their computer loan. Be sure to include the mean and the third quartile. Do the same for... What theoretical relationship should there be between the standard deviation in Problem 6.48 and the standard deviation in Problem 6.49? Table 6.2: Sample of birth-weights (oz) obtained from 1000... Suppose the sample standard deviation of serum creatinine in Problem 7.1 is 0.6 mg/dL. Assume that the standard deviation of serum creatinine is not known, and perform the hypothesis test in Problem... Set up the opportunity loss table from the following payoff table: 26 55 38 43 S2 43 29 $3 51 15 54 Using the critical-value method with = .05, test the hypothesis that incidence rates of MI changed from 2000 to 2010? Cardiovascular Disease Suppose the incidence rate of myocardial infarction (MI)... A p-value is calculated assuming that which hypothesis is true: null or alternative? The standard deviation of a null distribution is calculated using which value: the probability value in the null hypothesis or the observed value of the sample proportion? What is the variable that is measured/recorded on each observational unit? To test this conjecture about the right front tire, a recent class of 28 students was asked, if they were in this situation,... Suppose that we conduct a test of significance using 5% as our level of significance. a. What is the probability of making a Type I error (if the null hypothesis is true)? b. Suppose we conduct 10... Which of the following is the primary purpose of randomly assigning subjects to treatments in an experiment? A. To produce similar (experimental) groups so any differences in the response variable... Compute the correlation between 5-year lungcancer mortality and annual cigarette consumption when each is expressed in the log 10 scale? Cancer The following statistics are taken from an article by... What is the expected lung-cancer mortality rate with an annual cigarette consumption of 1 lb/person? Cancer The following statistics are taken from an article by Burch relating cigarette smoking to... The 2014 U.S. Senate consists of 80 men and 20 women. Th e 2014 U.S. Senate consists of 45 Republicans and 55 Democrats (counting 2 Independents as Democrats because they vote with Democrats more... What is the shape of your null distribution and where is its center located? Why does it make sense for the center to be located where it is? Which of the following is true about the interquartile range? A. It represents the range of approximately the middle quarter of a data set. B. It represents the range of approximately the middle 50%... What are the five parts of the five-number summary? State the hypotheses to be tested? Cardiovascular Disease A study was conducted to assess the effect of atorvastatin with or without an antibody to serum protein convertase subtilisin/kexin (PSCSK9)... Estimate the OR relating widowhood to mortality based on all the data in Table 10.27? Table 13.27 Use of SAS PROC PHREG to perform conditional logistic regression on the breast cancer data One... Now, use the Theory-Based Inference applet to generate a test statistic, p-value, and confidence interval. Report these, and compare them to what you determined from the simulation analysis. Explain... Which of the following statements are true and which are false? a. After you collect the data, you can then decide whether or not to use a paired design or independent samples design. b. The... For each of the following, indicate whether or not a paired analysis would be appropriate. a. To investigate the claim that first-year college students tend to gain weight during their first term,... Repeat the analyses in Problems 13.12213.124 using diastolic bp (DBP) z score group defined in the same manner as SBP z-score group? Hypertension The data set WALES.DAT contains familial data on... Reconsider the chewing gum and memorization study in the previous question. a. Describe how you would conduct this study with an independent samples design? b. Which design, paired with repeated... What is the estimated rate ratio for colon cancer between the ASA and placebo groups? Cancer Suppose we wish to study the association between aspirin intake and the incidence of colon cancer. We find... In the previous exercise the statistic used was the mean of the difference in ages (husbands age wifes age). Explain how the following things would change (or not) if you used the mean of the wifes... Use the Descriptive Statistics applet to create a dotplot of the flow rates. Include average and standard deviation for the fl ow rate. What do you observe? As observed proportions move farther apart: A. Both the MAD statistic and the p-value will decrease. B. Both the MAD statistic and the p-value will increase. C. The MAD statistic will increase and... From a random sample of 97 male students at Hope College, 12 were left -handed. Determine a 99% confidence interval for the proportion of all male students at Hope College that are left -handed. A chimpanzee named Sarah was the subject in a study of whether chimpanzees can solve problems. Sarah was shown 30-second videos of a human actor struggling with one of several problems (for example,... Find the least squares regression equation that predicts number of Tootsie Rolls based on hand span. Is hand span a good predictor of how much candy you can grab? Using 45 college students as... Consider the code 39 is a common bar code system that consists of narrow and wide bars(black) separated by either wide or narrow spaces (white). Each character contains nine elements (five bars and... Is this a randomized experiment or an observational study? Explain how you know. Use the data from Exercise 8-66 to compute a two-sided Agresti-Coull CI on the proportion of correct digits that can be automatically read. Compare and discuss the CI to the one computed in Exercise... In a 2014 Consumer Reports article titled, The High Cost of Cheap Chicken, the magazine reported that out of 316 chicken breasts bought in retail stores throughout the United States, 207 contained E.... On January 28, 1986, the Space Shuttle Challenger broke apart 73 seconds into its flight, killing all seven astronauts on board. All investigations into reasons for the disaster pointed towards the... What is meant by a census? Consider a manufacturing process that is producing hypodermic needles that will be used for blood donations. These needles need to have a diameter of 1.65 mmtoo big and they would hurt the donor... Give the boundaries of following value. 6.3 millimeters Reconsider the exercise in Section 5.1 about Medicare audits (5.1.6). Of the 30 small claims, 14 were judged to be over payments; of the 30 medium claims, 8 were judged to be overpayments. Our... Reconsider the data from the previous exercise about investigating whether there is a relationship between undergoing surgery and whether a man dies due to prostate cancer related reasons. a.... In the Chapter 4 exercises you read about a research article, Power Posing: Brief Nonverbal Displays Affect Neuroendocrine Levels and Risk Tolerance, that was published in Psychological Science,... The data show a sample of the number of passengers in millions that major airlines carried for a recent year. Find the mean, median, midrange, and mode for the data. 143.8 17.7 8.5 120.4 33.0 27.1... The average miles driven annually per licensed driver in the United States is approximately 14,090 miles. If we assume a fairly mound-shaped distribution with a standard deviation of approximately... A probability experiment is conducted. Which of these cannot be considered a probability outcome? a. 2/3 b. 0.63 c. 3/5 d. 1.65 e. 0.44 f. 0 g. 1 h. 125% i. 24% The U.S. government authorizes private contractors to audit bills paid by Medicare and Medicaid. The contractor audits a random sample of paid claims and judges each claim to be either fully... If one card is drawn from an ordinary deck of cards, find the probability of getting each event: a. A 7 or an 8 or a 9 b. A spade or a queen or a king c. A club or a face card d. An ace or a diamond... In 2013 about 66% of full-time law enforcement workers were sworn officers, and of those, 88.4% were male. Females however make up 60.7% of civilian employees. Choose one law enforcement worker at... In a box of 12 batteries, 2 are dead. If 2 batteries are selected at random for a flashlight, find the probability that both are dead. Would you consider this event likely or unlikely? As seen in Exploration 6.1, an instructor collected data on prices (in dollars) paid by students for their most recent haircut, also recording each students sex, to test whether females in the... An online coupon service has 13 offers for free samples. How many different requests are possible if a customer must request exactly 3 free samples? How many are possible if the customer may request... With what level of data is a bar chart most appropriately used? If a pet store wishes to determine the level of customer satisfaction with its services, would it be appropriate to conduct an experiment? Explain. Locate one of the online job websites and pick several job listings. For each job type, discuss one or more situations in which statistical analyses would be used. Base your answer on research... What does one outcome in a null distribution made by the Matched Pairs applet represent? A. It is a simulated mean difference under the assumption there is no association between the explanatory and... Match the appropriate test of significance to each of the following research questions. 1. Testing a single proportion 2. Testing a single mean 3. Comparing two proportions 4. Comparing two means... Reconsider the previous exercises about reaction times and time of day. a. Find an approximate 95% confidence interval for the mean difference in the reaction times (morning night) for the population... Refer to the previous exercises about the study of parents perceptions of their childrens size. The researchers Kaufman et al. (Current Biology, 2013) also surveyed a sample of 38 parents about their... Refer to the previous exercises about investigating whether infants tend to look at surprising events or behavior for longer times, on average, compared to uninteresting ones? Given below are the... Refer to the previous exercises about investigating whether infants tend to look at surprising events or behavior for longer times, on average, compared to uninteresting ones? Given below are the... A 35-year-old woman purchases a $100,000 term life insurance policy for an annual payment of $360. Based on a period life table for the U.S. government, the probability that she will survive the year... If a person rolls doubles when she tosses two dice, she wins $5. For the game to be fair, how much should she pay to play the game? A convenience store has made up 20 grab bag gifts and is offering them for $2.00 a bag. Ten bags contain merchandise worth $1.00. Six bags contain merchandise worth $2.00, and four bags contain... Carry out an appropriate test of significance to see whether the Cameroon water filters (population) tend to fl ow at a rate different than 1,000 mL/min, or is an average of 1,000 mL/min plausible?... Reconsider the previous exercise. At the end of the 52-week study, 17.9% of those in the nicotine group had successfully abstained from smoking, compared to 9.6% of those in the placebo group. a.... Discuss what is meant by the least squares criterion as it pertains to multiple regression analysis. Is the least squares criterion any different for simple regression analysis? Discuss. Scientific Computing & Automation magazine offers free subscriptions to the scientific community. The magazine does ask, however, that a person answer six questions: primary title, type of facility,... How is the P-value of a hypothesis test actually determined? In problem pertain to the P-value approach to hypothesis testing. Suppose that you want to conduct a left-tailed hypothesis test at the 5% significance level. How must the critical value be chosen? In problem pertain to the critical-value approach to hypothesis...
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