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 the test chosen in part (d) of the previous problem and supply this information: (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 |
(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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