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 11 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm3 An analysis of the sample data revealed that the hippocampal volume is approximately normal with x#8.02 cm3 and s-o8 cm3. Conduct the appropriate test at the α = 0.01 level of significance. State the null and alternative hypotheses (Type integers or decimals. Do not round) Identify the t-statistic o(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. ▼ suficient evidence to claim that the mean hippocampal volume is the null hypothesis. Ther。

Answer 1

The statistical software output for this problem is:

One sample T summary hypothesis test: μ : Mean of population Ho : μ-9.02 Ha : μ < 9.02 Hypothesis test results: Mean Sample Mean Std. Er. DF T-Stat P-value 8.02 0.24120908 10-4,145781 0.001

Hence,

Hypotheses:

H₀ : μ = 9.02
H₁ : μ < 9.02

to = -4.15

P-value = 0.001

Reject; is; less than; 9.02