The critically endangered Maui’s dolphin is currently restricted to a relatively small stretch of coastline along the west coast of New Zealand’s North Island. The dolphins are “captured” by just collecting samples of DNA and “tagged” by identifying their DNA fingerprint. A 2010-2011 capture-recapture study “captured” and “tagged” 26 Maui’s dolphins in 2010. In 2011, 27 Maui’s dolphins were “recaptured” and through their DNA, 12 were identified as having been “tagged” in 2010. Based on these figures, estimate the population of Maui’s dolphins in 2011. [Source: Oremus, M., et al, “Distribution, group characteristics and movements of the critically endangered Maui’s Dolphin (Cephalorhynchus hectori maui).” Endangered Species Research, preprint.]
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MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
- Some car tires can develop what is known as "heel and toe" wear if not rotated after a certain mileage. To assess this issue, a consumer group investigated the tire wear on two brands of tire, A and B, say. Fifteen cars were fitted with new brand A tires and thirteen with brand B tires, the cars assigned to brand at random. (Two cars initially assigned to brand B suffered serious tire faults other than heel and toe wear, and were excluded from the study.) The cars were driven in regular driving conditions, and the mileage at which heal and toe wear could be observed was recorded on each car. For the cars with brand A tires, the mean mileage observed was 25.84 (in 10^3 miles ) and the variance was 3.76 (in 10^6 miles^2). For the cars with brand B, the corresponding statistics were 24.64 (in 10^3 miles) and 8.80 (in 10^6 miles^2) respectively. The mileage before heal and toe wear is detectable is assumed to be Normally distributed for both brands. Part a) Calculate the pooled variance…arrow_forwardSome car tires can develop what is known as "heel and toe" wear if not rotated after a certain mileage. To assess this issue, a consumer group investigated the tire wear on two brands of tire, A and B, say. Fifteen cars were fitted with new brand A tires and thirteen with brand B tires, the cars assigned to brand at random. (Two cars initially assigned to brand B suffered serious tire faults other than heel and toe wear, and were excluded from the study.) The cars were driven in regular driving conditions, and the mileage at which heal and toe wear could be observed was recorded on each car. For the cars with brand A tires, the mean mileage observed was 24.99 (in 10^3 miles ) and the variance was 7.75 (in 10^6 miles^2). For the cars with brand B, the corresponding statistics were 32.92 (in 10^3 miles) and 6.47(in 10^6 miles^2 ) respectively. The mileage before heal and toe wear is detectable is assumed to be Normally distributed for both brands. Part a) Calculate the pooled variance s2…arrow_forwardIn a 2018 study, Phoenix Marketing International identified Bridgeport, Connecticut; San Jose, California; Washington, DC) and Lexington Park, Maryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four- cities. Millionaire Yes No Bridgeport, CT Bridgeport, CT 46 San Jose, CA 36 264 Use Table 3 of Appendix B to find the p-value. The p-value is Select your answer - What is your conclusion? Select your answer - San Jose, Washington, CA D.C. 454 362 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)? city Washington, D.C. D 38 Lexington Park, Lexington Park, MD MD 34 Percentage, % b. Using a = 0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. What is the p-value? Compute the value of the x² test statistic (to 3…arrow_forward
- Some car tires can develop what is known as "heel and toe" wear if not rotated after a certain mileage. To assess this issue, a consumer group investigated the tire wear on two brands of tire, A and B, say. Fifteen cars were fitted with new brand A tires and thirteen with brand B tires, the cars assigned to brand at random. (Two cars initially assigned to brand B suffered serious tire faults other than heel and toe wear, and were excluded from the study) The cars were driven in regular driving conditions, and the mileage at which heal and toe wear could be observed was recorded on each car. For the cars with brand A tires, the mean mileage observed was 24.99 (in 10¹ miles) and the variance was 7.75 (in 10 miles). For the cars with brand B, the corresponding statistics were 32.92 (in 10 miles) and 6.47 (in 10 miles) respectively. The mileage before heal and toe wear is detectable is assumed to be Normally distributed for both brands. Part a) Calculate the pooled variance s² to 3 decimal…arrow_forwardAccording to the National Institute on Alcohol Abuse and Alcoholism (NIAAA) and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge-drinking" behavior: having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college who binge drink is actually lower than the national proportion. In a commissioned study, 344 students are selected randomly from a list of all students enrolled at the college. Of these, 132 admit to having engaged in binge drinking.The college president is more interested in testing her belief that the proportion of students at her college who engage in binge drinking is lower than the national proportion of 0.41. What is the P-value? (Round your answer to four decimal places.)P-value = ?arrow_forwardIn the same passage, how many cases are there?arrow_forward
- Your town does a study and finds that 3 in 5 dogs have licenses. If there are 250 dogs in town, how many won't have licenses.arrow_forwardTwo pieces of information were gathered from 1212 randomly selected cities in the United States: the number of persons owning registered firearms and the murder rate. It was observed that cities with more registered firearms tended to have higher murder rates. Part A: Which is the population of interest in this study? People who own registered firearms in the United States Cities in the United States People who live in U.S. cities People who were murdered in the United States Part B: Which is the sample in this study? People who live in the 121U.S. cities People who own registered firearms in the 12 U.S. cities 12 cities in the United States People who were murdered in the 12 U.S. cities Part C: What type of study is this? A census, because it uses data from the entire population A statistical study, because it uses data from a sample Part D: Which of the following was not a variable observed in this study? The number of registered firearms in a given city Murder…arrow_forward3. According to a geneticist's theory, a crossing of red and white snapdragons should produce offspring that are 25% red, 50% pink, and 25% white. An experiment conducted to test the theory produced 30 red, 78 pink, and 36 white offspring in 144 crossings. Conduct hypothesis test using a=.05.arrow_forward
- Out of the four diagnose cells, how many demonstrate an observed cell count greater than what would be expected under independence between the neurologist ratings?arrow_forward2) The administrator at your local hospital states that on weekends the average wait time for emergency room visits is 10 minutes. Based on discussions you have had with friends who have complained on how long they waited to be seen in the ER over a weekend, you dispute the administrator's claim. You decide to test your hypothesis. Over the course of a few weekends, you record the wait time for 41 randomly selected patients. The average wait time for these 41 patients is 11 minutes with a standard deviation of 3 minutes. Do you have enough evidence to support your hypothesis that the average ER wait time exceeds 10 minutes? You opt to conduct the test at a 1% level of significance.arrow_forwardWould it be unlikely to randomly select four people and find that they all use vision correction? Why or why not?arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL