ative hypothesis. You must use statistical notation to expre
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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Write the null and alternative hypothesis. You must use statistical notation to express the hypothesis

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A research team studied the relationship between light alcohol consumption and
driving when the driver is already sleep deprived. 62 men were recruited and
asked to complete a simulated two-hour highway drive in the lab. They were
randomly assigned to two treatment groups. Each group has 31 men. In the first
group, the participants drank a glass of beer before driving. In the second group,
the participants drank a glass of water before driving. The computer recorded
how many times a driver drifted out of the lane. The night before their visit to the
lab, all 62 participants restricted their sleep time to no more than 5 hours.
See below for the summary statistics of the data. Let X be the number of times a .
driver drifts out of the lane during the simulated 2-hour highway drive. Let S be
the sample standard deviation of X.
First treatment group
1=32
S₁-3.7
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3
X
Second treatment group
€2=18
x
S
$₂=2.9
Use a hypothesis test at 0.05 significance level to answer the question: does light
alcohol consumption (having one glass of beer) have a negative impact on the
driving performance of a sleep-deprived driver? Assume that the conditions for
hypothesis testing are met.
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Write the null and alternative hypotheses. You must use the statistical notation
(for example, p, u, etc.) to express the hypotheses.
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Compute the test statistic. Please show your work.
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