$ \mathrm{H}_{\mathrm{a}}: \mu19, \bar{x}=23.8, \sigma=8, \mathrm{n}=100 $; without computing a $ \mathrm{P} $-value, determine whether the alternate hypothesis is supported and give a reason for your conclusion.
A) $ \mathrm{H}_{\mathrm{a}} $ is not supported; $ \bar{x} $ is less than 1 standard deviation above the claimed mean.
B) $ \mathrm{H}_{\mathrm{a}} $ is not supported; $ \bar{x} $ is more than 4 standard deriations above the claimed mean.
C) $ \mathrm{H}_{a} $ is supported; $ \bar{x} $ is less than 1 standard deviation above the claimed mean.
D) $ \mathrm{H}_{\mathrm{a}} $ is supported; $ \bar{x} $ is more than 4 standard deviations above the claimed mean.

Question

$ \mathrm{H}_{\mathrm{a}}: \mu>19, \bar{x}=23.8, \sigma=8, \mathrm{n}=100 $; without computing a $ \mathrm{P} $-value, determine whether the alternate hypothesis is supported and give a reason for your conclusion.
A) $ \mathrm{H}_{\mathrm{a}} $ is not supported; $ \bar{x} $ is less than 1 standard deviation above the claimed mean.
B) $ \mathrm{H}_{\mathrm{a}} $ is not supported; $ \bar{x} $ is more than 4 standard deriations above the claimed mean.
C) $ \mathrm{H}_{a} $ is supported; $ \bar{x} $ is less than 1 standard deviation above the claimed mean.
D) $ \mathrm{H}_{\mathrm{a}} $ is supported; $ \bar{x} $ is more than 4 standard deviations above the claimed mean.

Quizplus · Accepted Answer

The Answer of $ \mathrm{H}_{\mathrm{a}}: \mu>19, \bar{x}=23.8, \sigma=8, \mathrm{n}=100 $; without computing a $ \mathrm{P} $-value, determine whether the alternate hypothesis is supported and give a reason for your conclusion.
A) $ \mathrm{H}_{\mathrm{a}} $ is not supported; $ \bar{x} $ is less than 1 standard deviation above the claimed mean.
B) $ \mathrm{H}_{\mathrm{a}} $ is not supported; $ \bar{x} $ is more than 4 standard deriations above the claimed mean.
C) $ \mathrm{H}_{a} $ is supported; $ \bar{x} $ is less than 1 standard deviation above the claimed mean.
D) $ \mathrm{H}_{\mathrm{a}} $ is supported; $ \bar{x} $ is more than 4 standard deviations above the claimed mean.

Ha:μ>19,xˉ=23.8,σ=8,n=100 \mathrm{H}_{\mathrm{a}}: \mu>19, \bar{x}=23.8, \sigma=8, \mathrm{n}=100 Ha​:μ>19,xˉ=23.8,σ=8,n=100 ; Without Computing A

$\mathrm{H}_{\mathrm{a}}: \mu>19, \bar{x}=23.8, \sigma=8, \mathrm{n}=100$ ; Without Computing A