Two coffee-vending machines are studied to determine whether they distribute the same amounts.Samples are taken and the number of ounces is recorded for each machine. $\begin{array} { c c } \text { Machine A } & \text { Machine B } \\\hline 6.10 & 5.99 \\5.95 & 6.01 \\5.98 & 5.98 \\6.01 & 5.96 \\6.00 & 6.08 \\5.95 & 5.89 \\6.02 & 6.01 \\6.04 & 6.00 \\5.99 & 5.97 \\6.06 & 6.00\end{array}$
What is the appropriate null hypothesis for the claim that they distribute the same amount of coffee?

Question

Two coffee-vending machines are studied to determine whether they distribute the same amounts.Samples are taken and the number of ounces is recorded for each machine.

\begin{array} { c c } \text { Machine A } & \text { Machine B } \\\hline 6.10 & 5.99 \\5.95 & 6.01 \\5.98 & 5.98 \\6.01 & 5.96 \\6.00 & 6.08 \\5.95 & 5.89 \\6.02 & 6.01 \\6.04 & 6.00 \\5.99 & 5.97 \\6.06 & 6.00\end{array}

What is the appropriate null hypothesis for the claim that they distribute the same amount of coffee?

Quizplus · Accepted Answer

The appropriate null hypothesis for the claim that they distribute the same amount of coffee is that the population mean amount of coffee distributed by Machine A is equal to the population mean amount of coffee distributed by Machine B, i.e., μA = μB. Therefore, the correct choice is B, which states the null hypothesis as H₀: μ_DA = μ_DB.

Two Coffee-Vending Machines Are Studied to Determine Whether They Distribute