Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take a random sample of 60 cans and find that the mean amount of sodium in the sample is 41.9mg. The population standard deviation in all cans is 5.2mg. You suspect that there is more than 40mg of sodium per can. Find the z-score.

Question

Maeve Horton

Mathematics

14 January, 06:17

Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take a random sample of 60 cans and find that the mean amount of sodium in the sample is 41.9mg. The population standard deviation in all cans is 5.2mg. You suspect that there is more than 40mg of sodium per can. Find the z-score.

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Aditya Melton · Answer 1

We are given:

the sample size of 60 cans

the mean of the sample is 41.9 mg

the standard deviation in all cans is 5.2mg

To determine the z-score, we need to use this equation:

z = (X - μ) / σ

where X is the mean

μ is the true value (40mg)

σ is the standard deviation

z = 41.9 - 40 / 5.2

z = 0.365