# Brand S can cola should you sample?

**Question description**

The amount of sodium in brand S can cola is normally distributed with a standard deviation of 3.6. If you were asked to conduct a survey to test the hypotheses:

with the probability of Type I error no larger than 0.05 and if the true average amount of sodium is 40.6 then the desired probability of Type II error is no more than 0.025, how many brand S can cola you should sample?

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