A class found a report suggesting that teenagers' foot lengths are approximately normally distributed with a mean of 23 cm and a standard deviation of 2.6 cm. They wondered if this held true at their school, so they took a random sample of n = 9 students. The mean foot length of students in their sample was 24.6 cm. To see how likely a sample like theirs was to occur by random chance alone, the class performed a simulation. They simulated 50 samples of n = 9 lengths from a normal population with a mean of 23 cm and standard deviation of 2.6 cm. They recorded the mean of the lengths in each sample. Here are the sample means from their 50 samples: 10 8 6 4 21 22 23 24 25 Simulated sample means They want to test Ho : µ = 23 cm vs. H :µ # 23 cm where u is the true mean foot length. Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was = 24.6 cm. Frequency

A class found a report suggesting that teenagers' foot lengths are approximately normally distributed with a mean of 23 cm and a standard deviation of 2.6 cm. They wondered if this held true at their school, so they took a random sample of n = 9 students. The mean foot length of students in their sample was 24.6 cm. To see how likely a sample like theirs was to occur by random chance alone, the class performed a simulation. They simulated 50 samples of n = 9 lengths from a normal population with a mean of 23 cm and standard deviation of 2.6 cm. They recorded the mean of the lengths in each sample. Here are the sample means from their 50 samples: 10 8 6 4 21 22 23 24 25 Simulated sample means They want to test Ho : µ = 23 cm vs. H :µ # 23 cm where u is the true mean foot length. Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was = 24.6 cm. Frequency

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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