Stat 240 Homework 1: Due Sunday 25 April 2021 (9 PM) 70. A random sample of size 64 is taken from a normal population with ? = 51.4 and ? = 6.8. What is the prob- ability 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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4$ and standard deviation $\frac{\sigma}{\sqrt{n}} = \frac{6.8}{\sqrt{64}} = 0.85$. We can standardize the sample mean by subtracting the population mean and dividing by the standard deviation of the sample mean: $Z = \frac{\bar{X} - 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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