A chef is trying out a new recipe he has been working on and wants to see if it will sell better than his old one. To find out, he performs an experiment where he randomly assigns 20 people to try his new recipe and 20 people to try his old one. He asks each group how much they would be willing to pay for their food, and he finds that the group with the old recipe would pay an average of $20.00 and the second would pay an average of $26.00. He then performs an independent samples t-test between these groups. a. Suppose the sample variance for the price of the chef’s old recipe is $2.00, and the sample variance for the new recipe is $3.00. Perform a one-tailed t-test at a significance level of α = 0.01 and explain what the result means (how does the new recipe compare to the old one?). b. To evaluate the magnitude of effect size, compute the estimated Cohen’s d. Briefly describe what it means, and comment on the strength of the effect: is it weak, moderate or strong?
A chef is trying out a new recipe he has been working on and wants to see if it will sell better than his old
one. To find out, he performs an experiment where he randomly assigns 20 people to try his new recipe
and 20 people to try his old one. He asks each group how much they would be willing to pay for their food,
and he finds that the group with the old recipe would pay an average of $20.00 and the second would pay
an average of $26.00. He then performs an independent samples t-test between these groups.
a. Suppose the sample variance for the price of the chef’s old recipe is $2.00, and the sample
variance for the new recipe is $3.00. Perform a one-tailed t-test at a significance level of α = 0.01
and explain what the result means (how does the new recipe compare to the old one?).
b. To evaluate the magnitude of effect size, compute the estimated Cohen’s d. Briefly describe
what it means, and comment on the strength of the effect: is it weak, moderate or strong?
Step by step
Solved in 2 steps
