Home /
Expert Answers /
Statistics and Probability /
a-random-sample-of-size-16-is-selected-from-a-normal-population-with-a-mean-of-75-and-sandard-devi-pa242

A random sample of size 16 is selected from a normal population with a mean of 75 and sandard deviation of 8 . A second sample of size 8 is taken from another normal population with mean 70 and standard deviation of 12 . Let $X?_{1}$ and $X?_{2}$ be two sample means. Find a) The proability that $X?_{1}?X?_{2}$ exceeds 4 b) The proability that $3.5?X?_{1}?X?_{2}?5.5$

a) To find the probability that the difference between the two sample means exceeds 4, we first need to calculate th