$\mathrm{H}_{\mathrm{a}}: \mu>21.1, \bar{x}=21.5, \sigma=6, \mathrm{n}=100$ ; Without Computing a P-Value, Determine Whether the Alternate Hypothesis

question 33

Multiple Choice

$\mathrm{H}_{\mathrm{a}}: \mu>21.1, \bar{x}=21.5, \sigma=6, \mathrm{n}=100$ ; Without computing a P-value, determine whether the alternate hypothesis is supported and give a reason for your conclusion.

• A) \( \mathrm{H}_{\mathrm{a}} \) is supported; \( \bar{x} \) is less than 1 standard deviation above the claimed mean.
• B) \( \mathrm{H}_{\mathrm{a}} \) is supported; \( \bar{x} \) is more than 4 standard deviations above the claimed mean.
• C) \( \mathrm{H}_{\mathrm{a}} \) is not supported; \( \bar{x} \) is less than 1 standard deviation above the claimed mean.
• D) \( \mathrm{H}_{8} \) is not supported; \( \bar{x} \) is more than 4 standard deviations above the claimed mean.

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