The manager of a chain of shops compares the average revenues of two outlets, using data on revenues for 15 randomly selected days of the past year. Summary statistics for the revenue calculated using the given data for both outlets follow. Use the output from the Shiny app "Randomization Test for the Difference in Two Population Means Using Independent Samples" to complete an appropriate hypothesis test. Interpret the obtained results, using a significance level of 0.1.
A) There is convincing evidence of a difference in the population means for the two outlets.
B) There is convincing evidence that the mean for outlet 2 is greater than the mean for outlet 1.
C) There is no convincing evidence of a difference in the population means for the two outlets.
D) There is convincing evidence that the mean for outlet 1 is greater than the mean for outlet 2.
E) The samples are too small to make a conclusion with the output.

Question

The manager of a chain of shops compares the average revenues of two outlets, using data on revenues for 15 randomly selected days of the past year. Summary statistics for the revenue calculated using the given data for both outlets follow. ​  ​ Use the output from the Shiny app "Randomization Test for the Difference in Two Population Means Using Independent Samples" to complete an appropriate hypothesis test. ​  ​ Interpret the obtained results, using a significance level of 0.1. ​
A) There is convincing evidence of a difference in the population means for the two outlets. 
B) There is convincing evidence that the mean for outlet 2 is greater than the mean for outlet 1. 
C) There is no convincing evidence of a difference in the population means for the two outlets. 
D) There is convincing evidence that the mean for outlet 1 is greater than the mean for outlet 2. 
E) The samples are too small to make a conclusion with the output.

Quizplus · Accepted Answer

Since the p-value of the test is 0.289, which is greater than the significance level of 0.1, we fail to reject the null hypothesis that there is no difference in the population means for the two outlets. Therefore, there is no convincing evidence of a difference in the population means for the two outlets.

The Manager of a Chain of Shops Compares the Average