MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Part 1 of 4 Victoria, an accomplished marathon runner, claims that the standard deviation for her time to run a 26.2 mile marathon is less than 17.5 minutes. To test her claim, Victoria looks up 11 of her race times (in minutes): 227.2, 233.3, 259.7, 265.8, 252.1, 228.8, 222.6, 202.9, 214.5, 237.2, 267.7 Perform a hypothesis test using a 9% level of significance to test Victoria's claim. Step 1: State the null and alternative hypotheses. 17.5 Ha:0arrow_forwardElevator ride: Engineers are designing a large elevator that will accommodate 41 people. The maximum weight the elevator can hold safely is 8200 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 192 pounds and standard deviation 64 pounds, and the weights of adult U.S. women have mean 172 pounds and standard deviation 73 pounds. Use the TI-84 Plus calculator. Part 1 of 3 (a) If 41 people are on the elevator, and their total weight is 8200 pounds, what is their average weight? The average weight is pounds. Part 2 of 3 (6) If a random sample of 41 adult men ride the elevatori what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places The probability that the maximum safe weight will be exceeded isarrow_forwardYou have a sample of 48 randomly selected Vancouverites. On average (the sample mean), the people in your sample spent 425 hours eating food in 2020. The least time a person in the sample spent eating food in 2020 is 367 hours and the most time a person in the sample spent eating food in 2020 is 484 hours. What would be your best guess about the population standard deviation of the time a Vancouverite spent eating food in 2020? Give the number and explain (including assumptions you make about the population distribution).arrow_forwardCody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?arrow_forwardSOLVE AND GRAPH THE FOLLOWING. WRITE COMPLETE AND NEAT SOLUTIONS.arrow_forwardA quiz consists of 40 multiple choice questions, each with five possible answers, only one of which is correct. If a student guesses on each question, what is the mean and standard deviation of the number of correct answers? Round to the nearest thousandth.arrow_forwardThe NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?arrow_forwardTo celebrate the end of final exams you and friends head to a favorite downtown restaurant. You find a street parking spot with a maximum of two hours. If you stay longer than two hours, you risk having your car towed away. No one has a watch or cellphone but you remember that the average time you spent at the same restaurant over your previous 16 visits is 1.5 hours, and you estimate the sample standard deviation to be about 20 minutes. You also need to factor in that it takes 8 minutes to walk to the restaurant and 8 minutes to walk back to your car (you are very certain about these two durations). (a) One of your friends is really worried that you won’t get back to the car in time and so the car might be towed away! Does your friend have good reason to be worried? Test at a 5% significance level whether the mean total time will be less than two hours. (b) You decide to leave the car parked at the street spot but it gets towed. What type of error have you committed?arrow_forwardThe University of Georgia has several football players participating in the NFL draft this season. A few former coaches are helping the players prepare for the NFL tryout by tracking their practice performance. One coach calculates the athlete's speed in feet per second each round and then finds the mean and standard deviation for all rounds. Since the workout tested at the NFL tryout is the 40 yard dash, the coach decides to convert these speeds to yards per second instead of feet per second, where 1 yard is equal to 3 feet. Which of the following best describes what would happen to the summary statistics for the athletes? (A) The mean would increase, but the standard deviation would remain the same. (B) Both the mean and standard deviation would remain the same. (C) Both the mean and standard deviation would decrease. (D) The mean would decrease, but the standard deviation would remain the same. (E) The mean would decrease, but the standard deviation would increase.arrow_forwardSuppose the null hypothesis is not rejected. State the conclusion based on the results of the test. Six years ago, 11.1% of registered births were to teenage mothers. A sociologist believes that the percentage has decreased since then.arrow_forwardThe distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.arrow_forwardarrow_back_iosarrow_forward_ios
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