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(1) Suppose we think that listening to classical music will affect the amount of time it takes a person to fall asleep, so we conduct a study to test this idea. (a) Suppose that the average person in the population falls asleep in 15 minutes (without listening to classical music) with o = 6 min, state the null and alternative hypotheses for this study. Null hypothesis: µ=15_ Alternative hypothesis: _µ<15_ (b) Assume that the amount of time it takes people in the population to fall asleep is normally distributed. In the study we have a sample of people listen to classical music and then we measure how long it takes them to fall asleep. Suppose the sample of 36 people fall asleep in 12 minutes. What is the probability of obtaining a sample mean of 12 minutes or smaller? (c) How much does listening to classical music affect time to fall asleep? Compute the effect size, Cohen's d for the difference. You can use this formula: (d) What is d? confidence intervals today, even though they are very important!) (Don't worry about computing

(1) Suppose we think that listening to classical music will affect the amount of time it takes a person to fall asleep, so we conduct a study to test this idea. (a) Suppose that the average person in the population falls asleep in 15 minutes (without listening to classical music) with o = 6 min, state the null and alternative hypotheses for this study. Null hypothesis: µ=15_ Alternative hypothesis: _µ<15_ (b) Assume that the amount of time it takes people in the population to fall asleep is normally distributed. In the study we have a sample of people listen to classical music and then we measure how long it takes them to fall asleep. Suppose the sample of 36 people fall asleep in 12 minutes. What is the probability of obtaining a sample mean of 12 minutes or smaller? (c) How much does listening to classical music affect time to fall asleep? Compute the effect size, Cohen's d for the difference. You can use this formula: (d) What is d? confidence intervals today, even though they are very important!) (Don't worry about computing

MATLAB: An Introduction with Applications
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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(1) Suppose we think that listening to classical music will affect the amount of time it takes a person to fall asleep, so we conduct a study to test this idea. (a) Suppose that the average person in the population falls asleep in 15 minutes (without listening to classical music) with o = 6 min, state the null and alternative hypotheses for this study. Null hypothesis: µ=15_ Alternative hypothesis: _µ<15_ (b) Assume that the amount of time it takes people in the population to fall asleep is normally distributed. In the study we have a sample of people listen to classical music and then we measure how long it takes them to fall asleep. Suppose the sample of 36 people fall asleep in 12 minutes. What is the probability of obtaining a sample mean of 12 minutes or smaller? (c) How much does listening to classical music affect time to fall asleep? Compute the effect size, Cohen's d for the difference. You can use this formula: (d) What is d? confidence intervals today, even though they are very important!) (Don’t worry about computing
Transcribed Image Text:(1) Suppose we think that listening to classical music will affect the amount of time it takes a person to fall asleep, so we conduct a study to test this idea. (a) Suppose that the average person in the population falls asleep in 15 minutes (without listening to classical music) with o = 6 min, state the null and alternative hypotheses for this study. Null hypothesis: µ=15_ Alternative hypothesis: _µ<15_ (b) Assume that the amount of time it takes people in the population to fall asleep is normally distributed. In the study we have a sample of people listen to classical music and then we measure how long it takes them to fall asleep. Suppose the sample of 36 people fall asleep in 12 minutes. What is the probability of obtaining a sample mean of 12 minutes or smaller? (c) How much does listening to classical music affect time to fall asleep? Compute the effect size, Cohen's d for the difference. You can use this formula: (d) What is d? confidence intervals today, even though they are very important!) (Don’t worry about computing
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