Question

A snack food company recently released a low-sodium version of its popular Yummio snack. 100 taste testers were asked to try samples of the original Yummio and the new low-sodium version, then rate how much they enjoyed each snack out of 10. Which analysis should be performed to determine if the low-sodium version of Yummio is as enjoyable as the original snack? Assume that all statistical assumptions are met.

Answer 1

The t-test for difference of means can be used to test the mean rating of yummio and the new low-sodium version.

The test is given below:

The assumptions made for conducting this test are :

1. Parent populations are normally distributed.
2. The two populations are independent.
3. Variance of the two populations are same.

My of XI population mean population mean mean of X₂ 2 mean Sample X z 2 Sample of mean g x2 The difference of means it- test is given by: t nit en, t12-2 It 1 it = (x,- Xz) -(My - M2) SR 2 1x,*-X, 17 & 1X2 X 2,² n2 12 where, 5 = izi 6=1 pooled variance for n+ Na-2 is called the x, and X2 ni = sample size of XI n₂ = sample size of X2 Under Ho, our test statistie becomes ta x, X sta tr nitha-2. td h2