Express the Null Hypothesis $\mathrm { H } _ { 0 }$

question 51

Multiple Choice

Express the null hypothesis $\mathrm { H } _ { 0 }$ and the alternative hypothesis $\mathrm { H } _ { 1 }$ in symbolic form. Use the correct symbol ( $\mu , \mathrm { p }$ , $\sigma$ ) for the indicated parameter.
-The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by $\sigma = 14.7$ .

• A) \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma=14.7 \\
• \mathrm{H}_{1}: \sigma<14.7
• \end{array}\)
• B) \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma=14.7 \\
• \mathrm{H}_{1}: \sigma>14.7
• \end{array}\)
• C) \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma<14.7 \\
• \mathrm{H}_{1}: \sigma>14.7
• \end{array}\)
• D) \(\begin{array}{l}
• H_{0}: \sigma>14.7 \\
• H_{1}: \sigma \leq 14.7
• \end{array}\)

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