Imagine that you are a researcher interested in examining the impact of taking daily walks on a person’s level of happiness (sense of well-being). You decide to use a well-known scale of sense of well-being, which includes the average value people score (μ = 68) and the standard deviation (σ = 9).What is the probability that you would randomly select a sample of n = 36 participants that had a mean within 3 points of the population mean? In other words, p (65 < M < 71)? You select a sample of n = 36 participants and ask them to walk every day for at least 30 minutes. At the end of a month you give them the well-being scale and find M = 72. If you use a two-tailed test with α = 0.05 to determine the impact of taking a daily walk on well-being, what is the probability that you have made a Type I error?How can you reduce the probability of making a Type I error?

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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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Imagine that you are a researcher interested in examining the impact of taking daily walks on a person’s level of happiness (sense of well-being). You decide to use a well-known scale of sense of well-being, which includes the average value people score (μ = 68) and the standard deviation (σ = 9).

What is the probability that you would randomly select a sample of n = 36 participants that had a mean within 3 points of the population mean? In other words, p (65 < M < 71)?
You select a sample of n = 36 participants and ask them to walk every day for at least 30 minutes. At the end of a month you give them the well-being scale and find M = 72. If you use a two-tailed test with α = 0.05 to determine the impact of taking a daily walk on well-being, what is the probability that you have made a Type I error?
How can you reduce the probability of making a Type I error?

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