Respuesta :

Solution

Use the given statement to represent a claim:

[tex]\mu\ge514[/tex]

The alternative hypothesis Ha is the complement of the null hypothesis. It is a statement that must be true if H0 is false and it contains a statement of strict​ inequality, such as >​, ≠​, or <

The complement of the claim is less than 514 and opposite to the alternative hypothesis.

[tex]\begin{gathered} H_0=null\text{ hypothesis} \\ H_a=alternative\text{ hypothesis} \end{gathered}[/tex]

The null hypothesis is typically abbreviated as H0 and the alternative hypothesis as H1.

H0 is true if and only if H1 is false.

[tex]\begin{gathered} H_0\text{ : }\mu\ge514 \\ H_a\text{ :}\mu<514 \end{gathered}[/tex]

[tex]\mu<514[/tex]

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