Elliott Haynes
06/21/2023 · High School

The mean weight of pills coming off a drug company's manufacturing line is supposed to be 3.7 grams. If a quality control engineer wants to test that the manufacturing line is working property, what null and altemative hypotheses should the engineer use? \( \begin{array}{ll}\mathrm{H}_{0}: \mu=3.7 & \mathrm{H}_{\mathrm{a}}: \mu \geq 3.7 \\ \mathrm{H}_{0}: \mu \neq 3.7 & \mathrm{H}_{\mathrm{a}}: \mu<3.7 \\ \mathrm{H}_{0}: \mu \neq 3.7 & \mathrm{H}_{\mathrm{a}}: \mu=3.7 \\ \mathrm{H}_{0}: \mu \geq 3.7 & \mathrm{H}_{\mathrm{a}}: \mu=3.7 \\ \mathrm{H}_{0}: \mu=3.7 & \mathrm{H}_{\mathrm{a}}: \mu>3.7 \\ \mathrm{H}_{0}: \mu<3.7 & \mathrm{H}_{\mathrm{a}}: \mu-3.7 \\ \mathrm{H}_{0}: \mu=3.7 & \mathrm{H}_{\mathrm{a}}: \mu \neq 3.7 \\ \mathrm{H}_{\mathrm{a}}: \mu=3.7 & \mathrm{H}_{\mathrm{a}}: \mu<3.7\end{array} \)

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The null hypothesis is \(H_0: \mu = 3.7\) and the alternative hypothesis is \(H_a: \mu \neq 3.7\).

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