Hypothesis Testing for Population Mean by formula?

Suppose the director of a manufacturer of external battery for iPhone needs to determine whether its new production line is producing batteries in accordance with the company’s specification: the average capacity of batteries is 3000mA. A random sample of 45 batteries gives a mean of 2900mA and a standard deviation of 380mA.

a) Perform the hypothesis testing at 5percent level of significance (α).
i) State the null and alternative hypothesis.
ii) Determine the rejection region and draw a graph to represent it.
iii) Determine the test statistic and make the statistical decision.
b) Following the conclusion in a), determine whether the new production line is functioning properly.
c) Construct a 95percent confidence interval for the average capacity of batteries.
d) Use the interval in c) to perform the hypothesis in a). Compare the conclusion with the one in a).

I need the calculation steps, thank you very much!

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