5. Chef Bayless wants to know which kind of chili pepper is spicier so it can use it accordingly in his dish. He has three chefs in the kitchen. Each of them taste both chili peppers and then give each one a rating (0 being not spicy, 10 the spiciest thing you have ever eaten). He wants to know if the New Mexico chili is significantly spicier than the jalapeno chili. Use the data below and the steps of hypothesis testing, assuming %5 significance, to determine the answer to the question.

Chef	New Mexico	Jalapeno
Tim	6	6
Josie	3	8
Juan	5	9

Step 1:

Research Hypothesis:

Null Hypothesis:

Step 2:

Mean Difference Score for Sample: -1

Sum of squared deviation scores of difference scores: 41

Degrees of Freedom: 2

Population 2 (Comparison Population) Difference Score:

Estimated Population Variance of Individual Scores: S² = (X-M)²/ Df =

Estimated Population Variance of Distribution of Means: S²_M = S² / N =

Estimated Population Standard Deviation of Means: S_M = S²_M=

Shape of the Comparison Distribution:

Step 3: Determine the Cutoff on the Comparison Distribution:

One- or Two-Tailed?: Significance Level: Df:

Cutoff Value:

Step 4: Calculate the t Score:

Step 5: Make a Decision.

Reject or Fail to Reject the Null Hypothesis:

Step 6: Calculate Effect Size