A producer of instant breakfasts decides which new taste is appropriate for launching a series of products. For this purpose, a control group of 10 people is offered instant breakfasts with a cherry and cranberry flavor in a random order. Then, the group evaluates the taste of both products on a ten-point scale. The obtained data are given below. Estimate the difference in mean average rates for the cherry and cranberry flavors using the Shiny app "Bootstrap Confidence Interval for the Difference in Two Population Means Using Paired Samples". Use 10000 generated samples for more accurate results.
A) The interval (−3.2, −1.3) contains the population mean difference with a 95% confidence.
B) The interval (−2.9, −1.0) contains the population mean difference with a 95% confidence.
C) The interval (−2.4, 0.2) contains the population mean difference with a 95% confidence.
D) The interval (−2.2, 0.8) contains the population mean difference with a 95% confidence.
E) The samples are too small to make a conclusion with the output.

Question

A producer of instant breakfasts decides which new taste is appropriate for launching a series of products. For this purpose, a control group of 10 people is offered instant breakfasts with a cherry and cranberry flavor in a random order. Then, the group evaluates the taste of both products on a ten-point scale. The obtained data are given below. ​  ​ Estimate the difference in mean average rates for the cherry and cranberry flavors using the Shiny app "Bootstrap Confidence Interval for the Difference in Two Population Means Using Paired Samples". Use 10000 generated samples for more accurate results. ​
A) The interval (−3.2, −1.3) contains the population mean difference with a 95% confidence. 
B) The interval (−2.9, −1.0) contains the population mean difference with a 95% confidence. 
C) The interval (−2.4, 0.2) contains the population mean difference with a 95% confidence. 
D) The interval (−2.2, 0.8) contains the population mean difference with a 95% confidence. 
E) The samples are too small to make a conclusion with the output.

Quizplus · Accepted Answer

Using the Shiny app "Bootstrap Confidence Interval for the Difference in Two Population Means Using Paired Samples" with 10,000 generated samples, the resulting interval for the difference in mean average rates for cherry and cranberry flavors is (−2.9, −1.0) with a 95% confidence. We can be reasonably sure that the true population mean difference falls within this interval. Therefore, the correct choice is B.

A Producer of Instant Breakfasts Decides Which New Taste Is