# It is recommended that the daily intake of sodium be 2600 mg per day. From a previous study on a

###### Question:

It is recommended that the daily intake of sodium be 2600 mg per day. From a previous study on a particular ethnic group, the prior distribution of sodium intake is believed to be normal with mean 3000 mg and standard deviation 300 mg. If a recent survey resulted in a mean of 3500 mg and standard deviation of 350 mg. Obtain a 99% Credible Interval for the mean intake of sodium for this ethnic group. Let n=1

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You don't have to solve this because I know how to solve for a simple confidence interval. My question is, which distribution do we use for this when the sample size is 1? My first instinct is to use t, but what would be the degrees of freedom?

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