In: Statistics and Probability
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?