How many observations collected to have half width


Suppose we take 25 i.i.d observations from normal distribution with population standard deviation known to be 30. Further suppose that the sample mean turns out to be 278.

a. what is a 95% CI for population mean?

b. Given the same population standard deviation, how many observations need to be collected to have a halfwidth of 95% CI less than 10?

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Mechanical Engineering: How many observations collected to have half width
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