Independent random samples of n = 100 observations each are drawn from normal populations. The parameters...
Independent random samples of n = 100 observations each are drawn from normal populations. The parameters of these populations are:
• Population 1: μ1 = 300 and σ1 = 60;
• Population 2: μ2 = 290 and σ2 = 80.
(1) What is the probability that the mean of Population 1 is
between 294 and 306?
(2) How many samples should be included if we want the probability
in Part (1) to be at least 95%? (3) What is the
probability that the mean of Population 1 is greater than the mean
of Population 2?
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