1. For each of the following normal distributions find the standard error of the mean (a) sample size is 36 and standard deviation is 3 (b) sample size is 100 and standard deviation is 2 (c) $\sigma$=4 and n=64 (d) $\sigma$=1 and n=50 2. A sample of n=16 is drawn from a normal distribution with $\mu$=1000 and $\sigma$=200. Find the: (a) $Pr(\bar{x} > 1050)$ (b) $Pr(\bar{x} < 960)$ (c) $Pr(\bar{x} > 1100)$
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