Question

Based on your answer to Question $1.3$, would you be surprised if the difference in the mean amount of liquid dispensed in the two samples was$12$ounces? Explain

Short answer

No because the probability is very low.

Step-by-step solution

Given information

Sample mean$\left({\overline{x}}_1\right)=27$

Sample mean$\left({\overline{x}}_2\right)=17$

Standard deviation$\left({\sigma }_1\right)=0.8$

Standard deviation$\left({\sigma }_2\right)=0.5$

Explanation

$P\left({\overline{x}}_1-{\overline{x}}_2>12\right)=0$

The obtained difference probability is $0$which is too tiny. As a result, claiming that the entire difference in the mean volume of liquid discharged was $12$ounces is impossible.