(Solved): Problem 5. (a) A sample of size 100 has the sample mean X=10. Suppose the we know that the popul ...

Problem 5. (a) A sample of size 100 has the sample mean $$\stackrel{?}{X}=10$$. Suppose the we know that the population standard deviation $$?=5$$. Find a $$95\%$$ confidence interval for the population mean $$?$$. (b) A sample of size 17 has the sample mean $$\stackrel{?}{X}=10$$ and the sample standard deviation $$s=5$$. Find a $$95\%$$ confidence interval for the population mean $$?$$.