In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term n adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the norma hippocampal volume is approximately normal with no outliers and x = 8.02 cm and s= 0.7 cmº. Conduct the appropriate test at the a = 0.01 k State the null and alternative hypotheses. Họ: H (Type integers or decimals. Do not round.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 15
adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm°. An analysis of the sample data revealed that the
hippocampal volume is approximately normal with no outliers and x = 8.02 cm° and s = 0.7 cm°. Conduct the appropriate test at the a = 0.01 level of significance.
State the null and alternative hypotheses.
Ho: H
(Type integers or decimals. Do not round.)
Transcribed Image Text:In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 15 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm°. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.02 cm° and s = 0.7 cm°. Conduct the appropriate test at the a = 0.01 level of significance. State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round.)
Expert Solution
Step 1

The null hypothesis can be defined as the hypothesis of no difference or equality, while the alternative hypothesis can be defined as the claim we are testing. 

In this case, a test is required to see whether the average volume is less than9.02. Here, the claim implies that the "less than" sign should be used as part of the alternative hypothesis H1. Thus, the null and alternative hypothesis can be written as:
H0 : u = 9.02
H1 : u < 9.02

This corresponds to a left-tailed test.

A t-test for one mean, with an unknown population standard deviation, will be used.

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