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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume approximately normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the x = 0.10 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. HoiBT cm3 H₁: H cm³ (Type integers or decimals. Do not round.)

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Question
10/15/23,9:00 AM
wn
BH5 K7890 12B45 A78M MRB科5 H望粥= 0 0 0
0.25
01.678
-Area in
0.20 0.15 0.10 0.05
66 09
1.376
0.846
720
0.25 0.20
L-100
Poor E
f
0767
015 0.10
0
1860
YouT
1.290 1.660
1.282
-Distribution
Area in Right Tail
0.025 0.02
1.646 1.962
0.05
2.449
NİGİNİNİN cicicicici cicicicici ci
白
位位粥4
4=
0.025 0.02
0.01 0.005
2.821
Nİ SİNİcicis sedNN NNcicis ciNNNN N
2.368
7 170
NİNİNNİNİ CİCİNİN~~~~
0.0025
127.321
14.089
3.833
3.690
3.372
0.01 0.005 0.0025
0.001 0.0005
18.30
170177
7171
4507
4.297
3.852
3.787
3.356
3.31
3.261
3.252
W
3.183
3.174
3.098
Table of Critical t-Values
0.001
31.599
8.610
30年
4.781
4,221
3.9272
3.566
3.49
3.460
3.45
3.402
3.390
3.300
S0000
67890 12BH5 67890 125425 67890 H2B科5 M初粥# 颈0刀額州
Transcribed Image Text:10/15/23,9:00 AM wn BH5 K7890 12B45 A78M MRB科5 H望粥= 0 0 0 0.25 01.678 -Area in 0.20 0.15 0.10 0.05 66 09 1.376 0.846 720 0.25 0.20 L-100 Poor E f 0767 015 0.10 0 1860 YouT 1.290 1.660 1.282 -Distribution Area in Right Tail 0.025 0.02 1.646 1.962 0.05 2.449 NİGİNİNİN cicicicici cicicicici ci 白 位位粥4 4= 0.025 0.02 0.01 0.005 2.821 Nİ SİNİcicis sedNN NNcicis ciNNNN N 2.368 7 170 NİNİNNİNİ CİCİNİN~~~~ 0.0025 127.321 14.089 3.833 3.690 3.372 0.01 0.005 0.0025 0.001 0.0005 18.30 170177 7171 4507 4.297 3.852 3.787 3.356 3.31 3.261 3.252 W 3.183 3.174 3.098 Table of Critical t-Values 0.001 31.599 8.610 30年 4.781 4,221 3.9272 3.566 3.49 3.460 3.45 3.402 3.390 3.300 S0000 67890 12BH5 67890 125425 67890 H2B科5 M初粥# 颈0刀額州
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 26 adolescents with
alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately
normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the x = 0.10 level of significance.
Click the icon to view the table of critical t-values.
State the null and alternative hypotheses.
Ho: μ
H₁: μ
(Type integers or decimals. Do not round.)
cm
cm
3
3
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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the x = 0.10 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Ho: μ H₁: μ (Type integers or decimals. Do not round.) cm cm 3 3
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Follow-up Question
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 26 adolescents with
alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately
normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the α = 0.10 level of significance.
Click the icon to view the table of critical t-values.
State the null and alternative hypotheses.
Ho: μ 8.87 cm³
3
Η: μ < 8.87 cm
cm³
(Type integers or decimals. Do not round.)
Identify the t-statistic.
to = 4.97 (Round to two decimal places as needed.)
Approximate the P-value.
=
The P-value is in the range P-value <0.01.
Make a conclusion regarding the hypothesis.
the null hypothesis. There
(Type an integer or a decimal. Do not round.)
sufficient evidence to claim that the mean hippocampal volume is
greater than
equal to
different from
less than
cm³.
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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the α = 0.10 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Ho: μ 8.87 cm³ 3 Η: μ < 8.87 cm cm³ (Type integers or decimals. Do not round.) Identify the t-statistic. to = 4.97 (Round to two decimal places as needed.) Approximate the P-value. = The P-value is in the range P-value <0.01. Make a conclusion regarding the hypothesis. the null hypothesis. There (Type an integer or a decimal. Do not round.) sufficient evidence to claim that the mean hippocampal volume is greater than equal to different from less than cm³.
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Follow-up Question
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 26 adolescents with
alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately
normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the a = 0.10 level of significance.
Click the icon to view the table of critical t-values.
State the null and alternative hypotheses.
3
= 8.87 cm
Ho: μ
H₁:µ < 8.87 cm³
(Type integers or decimals. Do not round.)
Identify the t-statistic.
to = -4.97 (Round to two decimal places as needed.)
Approximate the P-value.
The P-value is in the range
0.01 < P-value < 0.05.
0.05 < P-value <0.10.
P-value >0.10.
P-value <0.01.
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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the a = 0.10 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. 3 = 8.87 cm Ho: μ H₁:µ < 8.87 cm³ (Type integers or decimals. Do not round.) Identify the t-statistic. to = -4.97 (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range 0.01 < P-value < 0.05. 0.05 < P-value <0.10. P-value >0.10. P-value <0.01.
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Follow-up Question
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 26 adolescents with
alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately
normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the x = 0.10 level of significance.
Click the icon to view the table of critical t-values.
State the null and alternative hypotheses.
Ho: μ
3
Η: μ < 8.87 cm
cm³
(Type integers or decimals. Do not round.)
Identify the t-statistic.
to = (Round to two decimal places as needed.)
3
= 8.87 cm
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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.87 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the x = 0.10 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Ho: μ 3 Η: μ < 8.87 cm cm³ (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) 3 = 8.87 cm
Solution
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