Question: Here are the data: Medication group: M = 6 hrs, SD = 2 hrs, n = 60 Placebo group: M = 5.0 hrs, SD =
Here are the data: Medication group: M = 6 hrs, SD = 2 hrs, n = 60 Placebo group: M = 5.0 hrs, SD = 3 hrs, n = 60 - Your decision about the null based on the critical value and the p-value. T= t-value: This is calculated using the formula for the t-statistic in an independent samples t-test. The formula is: t = (M1 - M2) / sqrt[(SD1^2/n1) + (SD2^2/n2)], where M is the mean, SD is the standard deviation, and n is the sample size. DF= This is calculated as the total sample size minus 2. So in this case, df = (60 + 60) - 2 = 118. Error of difference= This is the standard deviation of the differences between all possible pairs of observations, one from each group. It is calculated as: SE = sqrt[(SD1^2/n1) + (SD2^2/n2)]. P value= This is the probability of obtaining a t-value as extreme as the one calculated (or more extreme) if the null hypothesis is true. Critical value = This is the value that the calculated t-value must exceed in order to reject the null hypothesis. It can be found in a t-distribution table based on the chosen alpha level (0.05) and the degrees of freedom. 95% confidence interval for the mean difference= This is a range of values that is likely to contain the true mean difference 95% of the time. It is calculated as: (M1 - M2) (t*SE), where t is the critical t-value
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