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In: Statistics and Probability

4. A researcher testing sodium content of snack foods examines samples of two brands of potato...

4. A researcher testing sodium content of snack foods examines samples of two brands of potato chips that both claim to be low in sodium. A random sample of 25 lunch-size bags of chips for Super Chips indicates an average of 80 milligrams of sodium per bag, with a standard deviation of 5 milligrams. A second sample of 22 lunch-size bags of Real Potato Snacks shows an average of 77 milligrams of sodium per bag, with a standard deviation of 6 milligrams. The histograms of both samples appears to be roughly symmetric, unimodal, and have no outlying values. Is there evidence that Super Chips has a significantly higher sodium content than Real Potato Snacks?

(2 sample t interval for the difference of means)

5. Calculate and interpret a 90% confidence interval for the difference in the sodium in the two brands of potato chips. Do not re-do the conditions.

(interpret above)

6. Based on your interval only, is there evidence that there is a difference in the sodium content in Super Chips and Real Potato Snacks?

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