a-quality-inspector-wants-to-compare-the-average-thickness-of-three-different-br

Question

A quality inspector wants to compare the average thickness of three different brands of plastic sheets. She takes random samples from each brand and records the thickness (in units of millimeters). The data will be analyzed using a one-way ANOVA test at a $5 percent sign$ level of significance. Which of the following correctly states the null and alternative hypotheses for this scenario?

Accepted Answer

$H_{0} : μ_{1} = μ_{2} = μ_{3}$

$H_{a} :$ At least one of the population means is different.

Answer

$H_{0} : μ_{1} = μ_{2} = μ_{3}$

$H_{a} :$ All the population means are equal.

Answer

$H_{0} : μ_{1} = μ_{2} = μ_{3}$

$H_{a} :$ All the population means are greater than each other.

Answer

$H_{0} : μ_{1} = μ_{2} = μ_{3}$ The sample means are equal.

$H_{a} :$ The sample means are not equal.