The average age of commercial jets in the U.S. is 15.6 years. An executive at a large airline company claims that the average age of her planes is less than this. Sherandomly selects 32 of her company's planes, and finds the sample's average age is 15.2 years. The population standard deviation is 1.4 years.With a = 0.01, can the executive's claim be supported?%3Da) State the appropriate null and alternative hypotheses.Ho: H[Select][ Select]H: H [Select][ Select]b) Compute the value of the test statistic. Round the answer to two decimal places.[Select]Find the P-Value. Round the answer to four decimal places.P-value| Select ]d) State the decision.(Select]Ho.e) State a conclusion.There ISelect]enough evidence to conclude that the average age of planes at the large airline company is less than 15.6 years.<>

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 22 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week. Check Answer 100% 69°F Cloudy
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 29 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 3.3 hours.Use the Empirical Rule to answer the following questions.a) 68% of the students spend between ? hours and ? hours on Statistics each week.b) 95% of the students spend between ? hours and ? hours on Statistics each week.c) 99.7% of the students spend between ? hours and ? hours on Statistics each week.
A company distributes cola in cans labeled 12 ounces. A government agency thinks that the company is cheating its customers. Assume that if a company’s average can contains 12 ounces, then the company is not cheating. The agency selects 50 random cans, measures their contents, and obtains a sample mean of 11.7 ounces with a population standard deviation of 0.40 ounce. a) The sample mean is 11.7. Before doing any work, what is gut feeling about the chances of the population mean being less than or equal to 12? Do you think that the sample mean of 11.7 is low enough and provides enough evidence? b) Which will you use to perform the hypothesis test, a z-test or t-test? Explain why. c) At α = 0.01, test the agency’s claim. d) Complete the hypothesis test and compare with your guess in part a.
Salma recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Salma believes the value is actually higher. She bases her belief on a recently reported study of 21 randomly selected, elderly females. The sample mean systolic blood pressure was 118 mmH, and the sample standard deviation was 21 mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.10 level of significance, can it be concluded that y, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
About 11% of men are excluded by NASA’s Astronaut Selection Program based solely on height (11% of men are less than 157.5cm or more than 190.5cm). These height requirements are not adjusted according to sex, so females are subject to the same height requirements. What percentage of females does the Astronaut Selection Program exclude, if the mean height of females is 162.6 cm with a population standard deviation of 9.7 cm?
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 40 randomly selected patients. The average wait time for these 40 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 is different than 10 minutes? You opt to conduct the test at an α = 0.025 level of significance.
Based on the information from the U.S census bureau the mean travel time to work in minutes for all workers 16 years old and older was 27.5 minutes. A large company with offices in several states randomly sample 85 of its workers to ascertain their commuting times. The sample mean was 23.6 minutes,and the population standard deviation is 5.41 minutes. At the 0.05 level of signifance can it be concluded that the mean commuting time is less for this particular company
A college admissions officer believes that students enrolling from Shawnee school District have higher SAT scores than those who enroll from West River School District. A sample of 30 students from each district is selected. The average SAT score for the group from the Shawnee district is 656 with a standard deviation of 100. The average SAT score for the group from the West River district is 560 with a standard deviation of 90. Is the belief of the admissions officer substantiated?
We have the number of recorded children from 20 randomly selected barangays in the Philippines to help us estimate the number of Filipino children aged 12- 23 months who did not receive any vaccinations appropriate for their age. 16, 22, 26, 31, 45, 18, 24, 26, 34, 46, 19, 24, 27, 35, 55, 19, 25, 28, 37, 58 A. Can we compute for the population standard deviation? B. If yes, what is the population standard deviation? Use the computational formula. If no, why not? C. Can we compute for the sample standard deviation? D. If yes, what is the sample standard deviation? Use the computational formula. If no, why not?
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 30 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 2.7 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week.

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