The manufacturer of Boston and Vermont asphalt shingles provides its customers with a 20-year warranty on most of its products. To determine whether a shingle will last as long as the warranty period. accelerated-life testing is conducted at the manufacturing plant Accelerated-life testing exposes a shingle to the stresses it would be subject to in a lifetime of normal use via an experiment in a laboratory setting that takes only a few minutes to conduct in this test. a shingle is repeatedly scraped with a brush for a short period of time. and the shingle granules removed by the brushing are weighed (in grams). Shingles that experience low amounts of granule loss are expected to last longer in normal use than shingles that experience high amounts of granule loss. In this situation. a shingle should experience no more than 0.8 gram of granule loss if it is expected to last the length of the warranty period. The file Granule contains a sample of 170 measurements made on the company's Boston shingles and 140 measurements made on Vermont shingles.
a. List the
b. Construct side-by-side boxplots for the two brands of shingles and describe the shapes of the distributions
c. Comment on the ability of each type of shingle to achieve a granule loss of 0.8 gram or
less.
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- The mango is considered the "king of fruits" in many parts of the world. Mangoes are generally harvested at the mature green stage and ripen up during the marketing process of transport, storage, and so on. During this process, about 30% of the fruit is wasted. Because of this, the impact of harvest stage and storage conditions on the postharvest quality are of interest. In this experiment, the fruit was harvested at 80, 95, or 110 days after the fruit setting (the transition from flower to fruit) and then stored at temperatures of 20°C, 30°C, or 40°C. For each harvest time and storage temperature, a random sample of mangoes was selected, and the time to ripening was measured. MacBook Air O Macmillan Learning What are the factors, the treatments, and the response variables? Take each item from the answer bank and place into the appropriate category. Factor(s) Harvest time Time to ripening Treatment(s) Response variable(s) Answer Bank Storage temperature All combinations of harvest time…arrow_forwardWe're interested in whether warm milk helps people go to sleep faster. We have a lab with EEG monitors that will provide us with data as to how many minutes elapse before someone falls asleep. (People spend the night in the lab.) In the first experimental condition, participants fall asleep as they usually do, without warm milk. In the second condition, participants drink 6 oz. of warm milk before going to sleep. Data for 5 participants is shown in the table below. Choose the appropriate type of t- test (independent samples or paired samples) and conduct the t-test and hypothesis test. Be sure to show all of your calculations either on your scratch work or in this text box. DO: Include the t-test value and your hypothesis test conclusion in this test box, not just in your scratch work. Minutes to Minutes to NO MILK sleep MILK sleep Participant 1 10 Participant 1 11 Participant 2 10 Participant 2 12 Participant 3 8. Participant 3 8 Participant 4 17 Participant 4 13 Participant 5 13…arrow_forwardWe’re interested in whether warm milk helps people go to sleep faster. We have a lab with EEG monitors that will provide us with data as to how many minutes elapse before someone falls asleep. (People spend the night in the lab.) In the first experimental condition, participants fall asleep as they usually do, without warm milk. In the second condition, participants drink 6 oz. of warm milk before going to sleep. Data for 5 participants is shown in the table below. Choose the appropriate type of t-test (independent samples or paired samples) and conduct the t-test and hypothesis test. Be sure to show all of your calculations either on your scratch work or in this text box. DO: Include the t-test value and your hypothesis test conclusion in this text box, not just in your scratch work.arrow_forward
- An advertising agency is testing the effectiveness of a new commercial. They are trying out the commercial in three different time lengths (15, 30, and 60 seconds) and two formats (animated vs. live action). Each test audience will rate the product after seeing the commercial shown in one way. What is a description of this study?arrow_forwardFind p valuearrow_forwardAs humans we consume food. The body extracts good things such as proteins and vitamins and throws away waste. A typical waste product is uric acid. High levels of uric acid can be an indication of conditions such as gout, kidney disease, and cancer. For females a high level of uric acid is 6 mg/dL or more and for males a high level of uric acid is 7 mg/dL or more. Suppose, over a period of months, an adult male was given 6 blood tests for uric acid. The results of each blood test are shown below. results 9.48 11.1 8.58 11.4 10.34 11.58 The distribution of uric acid in healthy adult males is normally distributed with known population standard deviation, σ=1.94σ=1.94 mg/dl.Find a 95% confidence interval for the population mean of uric acid in this adult male's blood. Assume the sample of blood tests were given in a way that's equivalent to a simple random sample. (Round your answers to two decimal places.)margin of error __ mg/dL lower limit ___ mg/dL upper limit ___ mg/dLarrow_forward
- As humans we consume food. The body extracts good things such as proteins and vitamins and throws away waste. A typical waste product is uric acid. High levels of uric acid can be an indication of conditions such as gout, kidney disease, and cancer. For females a high level of uric acid is 6 mg/dL or more and for males a high level of uric acid is 7 mg/dL or more. Suppose, over a period of months, an adult female was given 10 blood tests for uric acid. The results of each blood test are shown below. Pisces for Tutoring BVC Student esources results 2.52 4.15 5.91 7.55 7.77 5.4 4.37 3.22 3.48 3.13 hat pogle Drive The distribution of uric acid in healthy adult females is normally distributed with known population standard deviation, o = 2.15 mg/dl. Find a 95% confidence interval for the population mean of uric acid in this adult female's blood. Assume the sample of blood tests were given in a way that's equivalent to a simple random sample. (Round your answers to two decimal places.)…arrow_forwardAs humans we consume food. The body extracts good things such as proteins and vitamins and throws away waste. A typical waste product is uric acid. High levels of uric acid can be an indication of conditions such as gout, kidney disease, and cancer. For females a high level of uric acid is 6 mg/dL or more and for males a high level of uric acid is 7 mg/dL or more. Suppose, over a period of months, an adult male has taken 8 blood test for uric acid. The results of the test are shown below. results 5.94 5.79 4.21 6.59 4.59 3.33 5.27 3.27 The distribution of uric acid in healthy adult males is normally distributed.Find a 95% confidence interval for the population mean of uric acid in this adult male's blood. (Round your answers to two decimal places.)margin of error mg/dLlower limit mg/dLupper limit mg/dLarrow_forwardAs humans we consume food. The body extracts good things such as proteins and vitamins and throws away waste. A typical waste product is uric acid. High levels of uric acid can be an indication of conditions such as gout, kidney disease, and cancer. For females a high level of uric acid is 6 mg/dL or more and for males a high level of uric acid is 7 mg/dL or more. Suppose, over a period of months, an adult female was given 5 blood tests for uric acid. The results of each blood test are shown below. results 6.75 6.68 12.07 10.29 6.68 The distribution of uric acid in healthy adult females is normally distributed with known population standard deviation, σ=2.09σ=2.09 mg/dl.Find a 95% confidence interval for the population mean of uric acid in this adult female's blood. Assume the sample of blood tests were given in a way that's equivalent to a simple random sample. (Round your answers to two decimal places.)margin of error mg/dLlower limit mg/dLupper limit mg/dLDoes this…arrow_forward
- As humans we consume food. The body extracts good things such as proteins and vitamins and throws away waste. A typical waste product is uric acid. High levels of uric acid can be an indication of conditions such as gout, kidney disease, and cancer. For females a high level of uric acid is 6 mg/dL or more and for males a high level of uric acid is 7 mg/dL or more. Suppose, over a period of months, an adult male has taken 8 blood test for uric acid. The results of the test are shown below. results 1.54 7.96 7.51 4.84 1.87 6.53 5.99 5.03 The distribution of uric acid in healthy adult males is normally distributed.Find a 95% confidence interval for the population mean of uric acid in this adult male's blood. (Round your answers to two decimal places.)margin of error mg/dL lower limit mg/dL upper limit mg/dLDoes this confidence interval suggest that this adult male has a high level of uric acid? No, since the interval is contained within the acceptable range levels. Yes, since the…arrow_forwardDoctors nationally believe that 78% of a certain type of operation are successful. In a particular hospital, 52 of these operations were observed and 42 of them were successful. At a = 0.05 is this hospital's success rate different from %3D the national average?arrow_forwardAs humans we consume food. The body extracts good things such as proteins and vitamins and throws away waste. A typical waste product is a uric acid. High levels of uric acid can be an indication of conditions such as gout, kidney disease, and cancer. For females a high level of uric acid is 6 mg/dL or more and for males a high level of uric acid is 7 mg/dL or more. Suppose, over a period of months, an adult female has taken 8 blood test for uric acid. The results of the test are shown below. results 8.9 6.27 3.99 7.42 9.94 8.99 9.17 5.65 Find a 95% confidence interval for the population mean of uric acid in this adult female's blood. (Round your answers to two decimal places.)margin of error mg/dL lower limit mg/dL upper limit mg/dL Does this confidence interval suggest that this adult female has a high level of uric acid? Explain your answer.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill