A random sample of 64 is taken from a normal population with mu = 51.4 and sigma = 6.8. What is the probability that the mean of the sample will a) exceed 52.9
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Step 1: Note that the sample comes from a normal population, so the distribution of the sample mean is also normal. Show more…
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A random sample of size 64 is taken from a normal population with $\mu=51.4$ and $\sigma=6.8 .$ What is the probability that the mean of the sample will (a) exceed $52.9$; (b) fall between $50.5$ and $52.3$; (c) be less than $50.6 ?$
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