Express the null hypothesis and the alternative hypothesis in symbolic form for a test to reject this claim. Use the correct symbol $( \mu , p , \sigma )$ for the indicated parameter. -A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. A) $\mathrm { H } _ { 0 } : \mu 14$ $\mathrm { H } _ { 1 } : \mu \leq 14$ B) $\mathrm { H } _ { 0 } : \mu = 14$ $\mathrm { H } _ { 1 } : \mu 14$ C) $\mathrm { H } _ { 0 } : \mu = 14$ $\mathrm { H } _ { 1 } : \mu

Question

Express the null hypothesis and the alternative hypothesis in symbolic form for a test to reject this claim. Use the correct symbol $( \mu , p , \sigma )$ for the indicated parameter. -A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. A) $\mathrm { H } _ { 0 } : \mu > 14$ $\mathrm { H } _ { 1 } : \mu \leq 14$ B) $\mathrm { H } _ { 0 } : \mu = 14$ $\mathrm { H } _ { 1 } : \mu > 14$ C) $\mathrm { H } _ { 0 } : \mu = 14$ $\mathrm { H } _ { 1 } : \mu < 14$ D) $\mathrm { H } _ { 0 } : \mu < 14$ $\mathrm { H } _ { 1 } : \mu \geq 14$

Quizplus · Accepted Answer

The null hypothesis should be the claim made by the company, which is that the mean weight of the cereal in its packets is at least 14 oz. This translates to a null hypothesis of $\mathrm { H } _ { 0 } : \mu = 14$ since we are testing if the mean weight is equal to or less than 14 oz. The alternative hypothesis should express the opposite of the null hypothesis, so it should be $\mathrm { H } _ { 1 } : \mu < 14$ because we want to test if the mean weight is actually less than 14 oz. Therefore, the correct choice is C.

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic (μ,p,σ)( \mu , p , \sigma )(μ,p,σ)

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $( \mu , p , \sigma )$