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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- A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2828 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-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 15.215.2 pounds with a standard deviation of 2.52.5 pounds. The members of Group B had lost a mean of 12.312.3 pounds with a standard deviation of 1.91.9 pounds during the same time period. Assume that the population variances are not the same. Construct a 95%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 500500-mg supplement of calcium each day,…arrow_forwardRecent research indicates that the effectiveness of anti-depressant medication is directly related to the severity of the depression (Khan, Brodhead. Kolts, and Brown, 2005). Based on pre-treatment dcprcssion scores, paticnts werc divlded into four groups based on their level of depi ession. After receiving the antidepression medication, depi ession scores were measured again and the amount of improvement was recorded for cach pcrsion. The following data are similar to the results of the study. Moderately High Moderate Moderate Low Severe Severe 4 5 N= 16 2 3 6 6 G= 48 +a 2 2. 2 6 ΣΧ- 2 4 M=2.5 M=2 M=4 M-5 T= 10 T= 8 T= 16 T=20 SS=. .. SS=2 SS=8 SS- 6 A, Complete the places marking by ... and answer the question whether the data indicate significant difference among the four levels of severity? Test with a= 0.05. B, Compute n', the percentage of variance expressed by group difference.arrow_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_forward
- A 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_forwardA 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_forward“Are Women Really More Talkative Than Men?” is the title of an article that appeared in the journal Science. In the article, Mehl, Vazire, Ramirez-Esparza, Slatcher, & Pennebaker (2007) report the results of a study of 396 men and women. Each participant wore a microphone that recorded every word he or she uttered. The researchers counted the number of words uttered by men and women and compared them. The data below are fictional but they re-create the pattern that Mehl and colleagues observed: Men: 16,345 17,222 15,646 14,889 16,701 Women: 17,345 15,593 16,624 16,696 14,200 Conduct steps for hypothesis testing. Calculate the 95% confidence interval. (MX - MY)lower = -1481.575 (MX - MY)upper = 1343.575arrow_forward
- 5. Dust mite allergies. Refer to Exercises 4.2 (p. 138) and 4.13 (p. 143). Each home with a dust mite level that ex- ceeds 2µg/g will spend $2,000 for an allergen air purifica- tion system. Find the mean and variance of the total amount spent by the four sampled homes. Give a range where this total is likely to fall.arrow_forwardA 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_forward12) The distribution of weights of dogs in Fisherville is skewed left with a mean weight of 25 pounds. Which of the following is more likely, selecting an SRS of 70 dogs in Fisherville that have a mean weight under twenty-pounds or selecting an SRS of 140 dogs in Fisherville that have a mean weight under twenty-pounds?arrow_forward
- I want to assess the effects of diet (control diet, high-sugar diet, high-fat diet) and exercise (no voluntary running wheel, voluntary running wheel) on time spent in a target quadrant (more time indicates better memory). I record the percent time spent in a target quadrant for 30 mice and obtain the following data: Control Diet High-sugar Diet High-fat diet No running wheel 15, 28, 29, 30, 25 24, 20, 30, 32, 20 19, 23, 22, 23, 25 Running wheel 30, 34, 35, 44, 32 21, 22, 28, 26, 29 30, 32, 28, 19, 26 What type of factorial design is this? (ex: # x #) ______________ What is the critical F value you’ll be making a decision based on (assume alpha = .05)? Diet: ____ Exercise: _____ Interaction: ______arrow_forwardWhen the light turns yellow, should you stop or go through it? The article “Evaluation of Driver Behavior in Type II Dilemma Zones at High-Speed Signalized Intersections” (D. Hurwitz, M. Knodler, and B. Nyquist, Journal of Transportation Engineering, 2011:277– 286) defines the “indecision zone” as the period when a vehicle is between 2.5 and 5.5 seconds away from an intersection. It presents observations of 710 vehicles passing through various intersections in Vermont for which the light turned yellow in the indecision zone. Of the 710 vehicles, 89 ran a red light. a) Find a 90% confidence interval for the proportion of vehicles that will run the red light when encountering a yellow light in the indecision zone. b) Find a 95% confidence interval for the proportion of vehicles that will run the red light when encountering a yellow light in the indecision zone. c) Find a 99% confidence interval for the proportion of vehicles that will run the red light when encountering a yellow light in…arrow_forwardA report described a survey of parents of children under the age of 18. Each person in a representative sample of 838 working fathers and a sample of 595 working mothers was asked if balancing the responsibilities of a job and a family was difficult. It was reported that 437 of the fathers surveyed and 364 of the mothers surveyed said that it was difficult. The two samples were independently selected and were thought to be representative of working fathers and mothers of children under 18 years old. USE SALT Use this information to calculate a 95% confidence interval estimate of the difference between the proportion of working fathers who find balancing work and family difficult, p₁, and this proportion for working mothers, P2. (Use a statistical computer package to calculate the P-value. Use P₁ - P₂. Round your answers to three decimal places.) to Interpret the interval. O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work…arrow_forward
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