4. 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 21 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 = 8.14 cm and s = 0.8 cm. Conduct the appropriate test at the a= 0.01 level of significance. State the null and alternative hypotheses. Ho: H(1) H1: H (2) (Type integers or decimals. Do not round.) Identify the t-statistic. to (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. (3) the null hypothesis. There (4) sufficient evidence to claim that the mean hippocampal volume is (5) Cm3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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4. 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 21 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 = 8.14 cm ands = 0.8 cm³. Conduct the appropriate test at the a = 0.01 level of significance.
State the null and alternative hypotheses.
Ho: H (1)
H1: µ (2)
(Type integers or decimals. Do not round.)
Identify the t-statistic.
to =
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
Make a conclusion regarding the hypothesis.
(3)
the null hypothesis. There (4)
sufficient evidence to claim that the mean hippocampal
volume is (5)
cm³.
3
Transcribed Image Text:4. 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 21 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 = 8.14 cm ands = 0.8 cm³. Conduct the appropriate test at the a = 0.01 level of significance. State the null and alternative hypotheses. Ho: H (1) H1: µ (2) (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. (3) the null hypothesis. There (4) sufficient evidence to claim that the mean hippocampal volume is (5) cm³. 3
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