A metropolitan PD has recovered methamphetamines in two separate incidents. There are 47 samples in the first seizure, containing an average of 0.35 mg/L of meth per sample with a standard deviation of 0.12 mg/L. In the second case, there are 32 samples with an average of 0.41 mg/L of meth with an standard deviation of 0.21 mg/L. The population standard deviation is unknown and will be assumed to be unequal.
Calculate the 95% and 99% confidence intervals.
State the null and alternative hypothesis about the police's claim and determine if the claim is indeed correct at a significance level of alpha= 0.05 and alpha = 0.01.