Question 1184670: 300 hundred eggs were randomly chosen from a gravid female Salmon and individually weighted. The mean weight was 0.978g with a standard deviation of 0.042. Find the 95% confidence interval for the mean weight of the salmon eggs.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! One can use z, but this is still a t-interval, and there is no reason not to use it.
half-interval for 95% is t(0.975,df=299)*s/sqrt(n)
=1.968*0.042/sqrt(300)
=0.0048
the interval is (0.973 gm, 0.983 gm)
The interval width for z=0.00475 gm, compared to 0.00477 gm for t.
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