A cereal manufacturer claims that the mean weight of cereal in its $$ 12-\mathrm{o} $$ boxes is at least 12.3 oz. Write the null and alternative hypotheses that would be used to test that claim. $$ \mathrm{H}_{0}: \mu=12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu eq 12.3 $$ $$ \mathrm{H}_{0}: \mu eq 12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu=12.3 $$ $$ \mathrm{H}_{0}: \mu eq 12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu12.3 $$ $$ \mathrm{H}_{0}: \mu=12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu

Question

A cereal manufacturer claims that the mean weight of cereal in its $$ 12-\mathrm{o} $$ boxes is at least 12.3 oz. Write the null and alternative hypotheses that would be used to test that claim. $$ \mathrm{H}_{0}: \mu=12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu 
eq 12.3 $$ $$ \mathrm{H}_{0}: \mu 
eq 12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu=12.3 $$ $$ \mathrm{H}_{0}: \mu 
eq 12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu<12.3 $$ $$ \mathrm{H}_{0}: \mu=12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu \geq 12.3 $$ $$ \mathrm{H}_{0}: \mu \geq 12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu=12.3 $$ $$ \mathrm{H}_{0}: \mu=12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu>12.3 $$ $$ \mathrm{H}_{0}: \mu=12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu<12.3 $$ $$ \mathrm{H}_{0}: \mu<12.3 $$ $$ \mathrm{H}_{\mathrm{a}}: \mu=12.3 $$

Pierce Mccoy · Accepted Answer

$$ \mathrm{H}_{0}: \mu \geq 12.3 \quad \mathrm{H}_{\mathrm{a}}: \mu < 12.3 $$

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