Question

A retail store serves a variety of ice cream flavors. The owner would like to add a flavor to the menu and needs to decide between Blueberry Cheesecake and Lemon Custard. To help her​ decide, she randomly selects 10 customers and asks them to taste each flavor and rate them on a scale of 1 to 20. A rating of 1 indicates the taster does not like the​ flavor, and a rating of 20 indicates that the taster likes it very much. The results are provided. Perform a hypothesis test using α equals=0.05 to determine if a difference exists in the ratings of the two flavors.

Person	1	2	3	4	5	6	7	8	9	10
Blueberry	7	13	12	15	16	9	9	19	10	14
Lemon	9	17	15	14	20	17	12	17	16	15

Determine the test statistic, T

T=___

Now find the critical value. First, determine the sample size, n.

n=___

Use the value of alpha and the sample size n to determine the critical value, T-_alpha, from the table of critical values for the Wilcoxon signed-rank test

T-_alpha=____

Answer 1

Answer to the question)

As the same person is being measured twice for Blueberry and Lemon , this become paired data and hence

paired T test is used for it

.

For T critical value:

df = n- 1

df = 10 - 1

df = 9

.

it is two tailed test

Alpha = 0.05

.

T alpha = -2.262 and 2.262

.

Inference: Since T statistic -2.9417 < T alpha -2.262

Reject the null hypothesis

Hence there is significant difference in the ratings of two flavors