A producer of chocolate candy bars has developed an improved recipe for one of their most popular brands. They are conducting taste tests using randomly selected mall shoppers. One hundred shoppers were given the original recipe bar to taste and to rate it on a scale of 1 to 10. Another hundred shoppers were given the new recipe candy bar to taste and to rate it on a scale of 1 to 10. The results are in the table below for statistical analysis. All of these analyses are run wtih a 95% level of confidence. RATING, 1 to 10 Original Recipe New Recipe Sample Mean 7.8 8.1 Sample Standard Deviation 1.2 1.6 Perform a t-test for the difference between two means assuming unequal variances to determine (a) What is the value of the test statistic? (b) Find the probability of getting these results if there is no difference in preference between the two recipes. (c) What is your conclusion? Is there evidence of a difference in consumer preference?
A producer of chocolate candy bars has developed an improved recipe for one of their most popular brands. They are conducting taste tests using randomly selected mall shoppers. One hundred shoppers were given the original recipe bar to taste and to rate it on a scale of 1 to 10. Another hundred shoppers were given the new recipe candy bar to taste and to rate it on a scale of 1 to 10. The results are in the table below for statistical analysis. All of these analyses are run wtih a 95% level of confidence. RATING, 1 to 10 Original Recipe New Recipe Sample Mean 7.8 8.1 Sample Standard Deviation 1.2 1.6 Perform a t-test for the difference between two means assuming unequal variances to determine (a) What is the value of the test statistic? (b) Find the probability of getting these results if there is no difference in preference between the two recipes. (c) What is your conclusion? Is there evidence of a difference in consumer preference?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A producer of chocolate candy bars has developed an improved recipe for one of their most popular brands. They are conducting taste tests using randomly selected mall shoppers. One hundred shoppers were given the original recipe bar to taste and to rate it on a scale of 1 to 10. Another hundred shoppers were given the new recipe candy bar to taste and to rate it on a scale of 1 to 10. The results are in the table below for statistical analysis. All of these analyses are run wtih a 95% level of confidence.
| RATING, 1 to 10 | Original Recipe | New Recipe |
|---|---|---|
| Sample Mean | 7.8 | 8.1 |
| Sample Standard Deviation | 1.2 | 1.6 |
Perform a t-test for the difference between two means assuming unequal variances to determine
(a) What is the value of the test statistic?
(b) Find the probability of getting these results if there is no difference in preference between the two recipes.
(c) What is your conclusion? Is there evidence of a difference in consumer preference?
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