Assume that on average, adults dream 90 minutes each night as inferred from several measures, including rapid eye movement. An investigator believes that consumption of alcohol just before sleep will decrease the amount of dream time. After consuming a standard amount of alcohol, dream time is monitored for each of 25 healthy young adults. The researcher finds a sample mean(X), of 88 minutes, and a sample standard deviation, of 9 minutes. (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the two means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?
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