Booted Eagles. The rare booted eagle of western Europe was the focus of a study by S. Suarez et al. to identify optimal nesting habitat for this raptor. According to their paper “Nesting Habitat Selection by Booted Eagles (Hieraaetus pennatus) and Implications for Management” (Journal of Applied Ecology, Vol. 37, pp. 215–223), the distances of such nests to the nearest marshland are
- a. P(Y > 5).
- b. P(3 ≤ Y ≤ 6).
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- Chapter 7 review, question 5arrow_forwardThe article "Prediction of Performance and Evaluation of Flexible Pavement Rehabilitation Strategies" (K. Lee, K. Wilson, and S. Hassan, Journal of Traffic and Transportation Engineering, 2017:178–184), describes methods used to rehabilitate Route 165 in the town of Exeter, Rhode Island. The following table presents monthly counts of two-axle and five- axle trucks during a recent year. The results are presented in the following table. Month Two-axle Five-axle Difference January 1168 1301 -133 February 1466 1495 -29 March 1389 1966 -577 2136 April May 1691 -445 2116 2015 101 June 2109 2180 -71 2115 July August September 2432 317 2523 2064 459 2408 2234 174 October 1899 2144 -245 November 1296 1781 -485 December 1333 1625 -292 Can you conclude that the monthly means differ between the two types of trucks?arrow_forwardA researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 21dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 12.2 pounds with a standard deviation of 2.5 pounds. The members of Group B had lost a mean of 14.7 pounds with a standard deviation of 2.3 pounds during the same time period. Assume that the population variances are not the same. Construct a 90%90% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500-mg supplement of calcium each day, and let Population 2 be…arrow_forward
- A healthcare provider notices an outbreak of foodborne illness among individuals who attended a holiday cookout. Which study type would be most beneficial in identifying the source of the outbreak?arrow_forwardA researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 28 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 15.2 pounds with a standard deviation of 2.5 pounds. The members of Group B had lost a mean of 12.3 pounds with a standard deviation of 1.9 pounds during the same time period. Assume that the population variances are not the same. Construct a 95% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500-mg supplement of calcium each day, and let Population 2 be the…arrow_forwardA researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 26 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 16.4 pounds with a standard deviation of 1.6 pounds. The members of Group B had lost a mean of 12.6 pounds with a standard deviation of 2.3 pounds during the same time period. Assume that the population variances are not the same. Construct a 95% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500-mg supplement of calcium each day, and let Population 2 be the…arrow_forward
- A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 29 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 10.4 pounds with a standard deviation of 1.2 pounds. The members of Group B had lost a mean of 10.6 pounds with a standard deviation of 1.9 pounds during the same time period. Assume that the population variances are not the same. Construct a 90% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500-mg supplement of calcium each day, and let Population 2 be the…arrow_forwardThe National Highway Traffic Safety Administration requires each U.S. state to carry out an observational study to assess the level of seat belt use in the state. One report summarized data from a study done in a certain state. Unfortunately, the "sex" variable provided very little information, and only indicated that it collected the values Female and Male; it may be that this refers to the gender identity of the respondent. The proportions in the accompanying table are based on observations of over 25,000 drivers and passengers. Male Female Uses Seatbelt 0.422 0.452 Does Not Use Seat Belt 0.078 0.048 Assume that these proportions are representative of adults in this state and that an adult from this state is selected at random. (a) What is the probability that the selected adult uses a seat belt? (b) What is the probability that the selected adult uses a seat belt given that the individual selected is male?arrow_forwardStudents at a major university in Southern California are complaining about a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials' response is to perform a study. The study, reported in the school newspaper, contains the following histogram summarizing the commute distances for a sample of 100 students at the university: Relative frequency 0.3+ 0.27 0.23 0.2- 0.19 0.13 0.12 0.1+ 0.06 0- 0. 4 12 Commute distance (in miles) 8 16 20 24 Based on the histogram, find the proportion of commute distances in the sample that are less than 12 miles. Write your answer as a decimal, and do not round your answer.arrow_forward
- Attractiveness of body types has been a large discussion relating to effects on youth and culture. Unhealthy levels of BMI are often associated with beauty. A researcher decided to study how young heterosexual adults body type preferences related to BMI. Participants were asked to use a computer program to design their desired partner. The program then calculated the BMI of the designed partners. The table summarizes the results based on a SRS of 35 men and 48 women. BMI designed by men n=35 x-bar=18.850 stdev=1.750 SE Mean 0.277 BMI designed by women n=48 x-bar=25.860 stdev=4.215 SE Mean 0.625 Use this information to conduct a test to decide if male and/or female body type preferences are associated with healthy BMI measurements. You should have two complete tests here. You may assume the populations are normally distributed.arrow_forwardIn a pilot study, participants responded to a survey on sexual attitudes (the BSAS). BSAS scores were median-split and participants were assigned to a low BSAS (Sexually Conservative coded a 1) or a high BSAS (Sexually Progressive, coded a 2) group. Participants then read a scenario which described a woman with either sexually conservative or progressive attitudes who is sexually assaulted on a date with a man. Finally, participants responded to a scale with measured the participant's personal similarity to the target. The item responses to this scale were combined into a composite score. What is the results?arrow_forwardQuestion 22 CCN and ActMedia provide a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed news, short features and advertistments. The length of the program was based on the assumption that the population mean time a shopper stands in a supermarket checkout line is 8 minutes. A sample of actual waiting times will be used to test this assumption and determine whether actual mean waiting time differes from this standard. Part A Develop apporpriate hypotheses Part B For a sample of 120 shoppers showed a sample mean waiting time of 8.4 mintues. Assume a sample standard deviation = 3.2 minutes. What is the p-values? Part C At α=0.05, what is your conclusion?…arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill