In: Statistics and Probability
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 cm cubed. An analysis of the sample data revealed that the hippocampal volume is approximately normal with x overbarequals8.07 cm cubed and sequals0.7 cm cubed. Conduct the appropriate test at the alphaequals0.01 level of significance. State the null and alternative hypotheses. Upper H 0: mu ▼ not equals less than equals greater than Upper H 1: mu ▼ equals not equals greater than less than (Type integers or decimals. Do not round.) Identify the t-statistic. t 0equals (Round to two decimal places as needed.) Identify the P-value. P-valueequals (Round to three decimal places as needed.)