statistic

https://www.youtube.com/watch?v=9GtaIHFuEZU&feature=emb_err_woyt
 (Known σ)
a. What is the Formula for the Confidence Interval for the Mean with a known σ?
b.  What is the definition of a confidence interval estimate ( explain what the formula means)?
c. Suppose that you have a sample of n= 25 and has a mean of 362.3 grams (μ= 362.3g)  and a standard deviation of 15 grams.  Using the formula ????±(1.96)(????????ˆš)μ±(1.96)(σn).  Find the estimate of Î¼
2. Read section 8.2 and watch the following video for finding a confidence interval estimate for the Mean with an unknown  Ïƒ
Section 8.2  
https://www.youtube.com/watch?v=BQ88ni4bJNA&feature=emb_err_woyt
( Unknown σ)

a. What is the formula for the Confidence Interval for the Mean with an unknown Ïƒ
b. What is the degrees of freedom and how do you find it?
c. Why can you never really have 100% confidence of correctly estimating the population characteristic of interest?
d.  When should you use the t distribution to develop the confidence interval estimate for the mean?
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