### Hypothesis Testing of Marathon TimesLondell, a skilled marathon runner, claims that the standard deviation of his times for running a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell evaluates his times from 17 races, recorded (in minutes) as follows:238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9A hypothesis test will be conducted at a 1% level of significance to verify Londell's claim.#### Step 1: State the Null and Alternative Hypotheses- **Null Hypothesis ($ H_0 $)**: $ \sigma = 11.1 $- **Alternative Hypothesis ($ H_a $)**: $ \sigma < 11.1 $(Thus, a left-tailed test will be performed.)#### Step 2: Determine the Features of the Distribution of Test StatisticsAssuming the null hypothesis is true and considering the test pertains to the population standard deviation, we will use a chi-square distribution. The degrees of freedom will be calculated based on the sample size.*Note:* The degrees of freedom is equal to the sample size minus one ($ n - 1 $). In this scenario, with 17 race times, the degrees of freedom will be 16.Please input the degrees of freedom where indicated to proceed with the analysis.

In the given situation, the population standard deviation is testing. The suitable test for…

Answered: Londell, an accomplished marathon…

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 each problem, write which test you used in your calculator, draw the graph, calculate pvalue, and write your conclusion in a complete sentence. A simple random sample of 41 8th grade students found that the mean score on an exam is 250 with a sample standard deviation of 55. The school administration claims that the population mean for the school is less than 265. Is there enough evidence to support the claim?
Suppose that the mean score of a class of 34 students was 78. The 19 male students in the class had a mean score of 66. What was the mean score for the 15 female students? Mean Score for Female Students
Suppose there are 5 students in a room. The mean age is 20.0 years, and the median age is 19. If the youngest person leaves and is not replaced by another person, what happens to the mean and the median? The mean either increases or stays the same, and the median increases. The median either increases or stays the same, and the mean increases. The mean increases, but it is impossible to determine whether the median increases, decreases, or stays the same.
A golf pro claims that his mean golf score is 63. A sportswriter wants to test the claim that his mean score is higher 63. Would this be a left-tailed, right-tailed, or two-tailed test?
The mean score on a set of 28 tests is 75. What is the sum of all the test scores?
Last weekend, police ticketed 16 motorists from Edmonton whose mean speed was 116 kilometres per hour (kph), and 34 motorists from Calgary going an average of 120 kph. Overall, what was the mean speed of all the people ticketed? Answer: (Please round your answer to 2 decimal places.)
On a multiple choice test with 10 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the number of correct answers.
According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
State the generic error for an interpolating formula?
Suppose that the mean score of a class of 34 students was 78. The 17 male students in the class had a mean score of 62. What was the mean score for the 17 female students?
Last year, the revenue for financial services companies had a mean of 7070 million dollars with a standard deviation of 1818 million. Find the percentage of companies with revenue between 5050 million and 9090 million dollars. Assume that the distribution is normal. Round your answer to the nearest hundredth.
Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

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