MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The Golden Comet is a hybrid chicken that is prized for its high egg production rate and gentle disposition. According to recent studies, the mean rate of egg production for 1-year-old Golden Comets is 5.1 eggs/week. Sarah has 35 1-year-old hens that are fed exclusively on natural scratch feed: insects, seeds, and plants that the hens obtain as they range freely around the farm. Her hens exhibit a mean egg-laying rate of 5.4 eggs/day. Sarah wants to determine whether the mean laying rate u for her hens is higher than the mean rate for all Golden Comets. Assume the population standard deviation to be o = 2.0 eggs/day. i. State the appropriate null and alternate hypotheses. ii. Compute the value of the test statistic. iii. State a conclusion. Use the a= 0.05 level of significance.arrow_forwardDogsled drivers, known as mushers, use several different breeds of dogs to pull their sleds. One proponent of Siberian Huskies believes that sleds pulled by Siberian Huskies are faster than sleds pulled by other breeds. He times 4747 teams of Siberian Huskies on a particular short course, and they have a mean time of 5.45.4 minutes. The mean time on the same course for 4545 teams of other breeds of sled dogs is 6.66.6 minutes. Assume that the times on this course have a population standard deviation of 1.31.3 minutes for teams of Siberian Huskies and 1.91.9 minutes for teams of other breeds of sled dogs. Let Population 1 be sleds pulled by Siberian Huskies and let Population 2 be sleds pulled by other breeds. Step 1 of 2 : Construct a 99%99% confidence interval for the true difference between the mean times on this course for teams of Siberian Huskies and teams of other breeds of sled dogs. Round the endpoints of the interval to one decimal place, if necessary.arrow_forwardBefore every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 42 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,846 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,846 lb42=163 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 181.5 lb and a standard deviation of 37. The probability is approximately nothing. (Round to four decimal places as needed.)arrow_forward
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- Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Salma is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Salma tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 54.71 with a sample variance of 5.95. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 50.21 with a sample variance of 37.75. Assume that the two populations of distances driven are approximately normally distributed. Can Salma conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before…arrow_forwardA chess analyst is interested in whether the time that it takes to make a move is significantly different among chess players. He records the time in seconds for three chess players: Fabiano Caruana, Sergey Karjakin, and Wesley So during world chess candidates’ tournament 2018. You are given: Sum of Squares Within Groups (SSW) = 39021.57, Total Sum of Squares = 42152.88. Calculate the Mean Sum of Squares Between Groups.arrow_forwardA running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The running coach collects mean mile times for 42 runners who participate in weekly running clubs with 54 runners who do not run in clubs. The running coach measures times in January and June of the same year. All times are in seconds, and the runners all started with mile times between 8 minutes (480 seconds) and 9 minutes (540 seconds). Here are the results: (table) The running coach conducts a hypothesis test and finds that running club members significantly improve their running times with a p-value < 0.05. The running coach wants to calculate how many seconds change to expect for runners who participate in running clubs. What is the best method for the running coach to use to determine how many seconds change to expect for runners who participate in running clubs? Use the difference in sample means (530 − 520) in a hypothesis test for a difference in two…arrow_forward
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