In: Math
a politician claims that the mean salary for managers
in his State is more than the national mean, $82,000.00. Assume the
population is normally distributed and the population deviation is
$9500.00. The salaries(in dollars) for a random sample of 30
managers in the state are listed. At a=0.07, is there enough
evidence to support the claim?
the dollar amounts are:$73,747.00, $87,299.00, $77,242.00,
$72,623.00, $80,753.00, $83,263.00, $96,365.00, $93,988.00,
$87,831.00, $97,484.00, $74,216.00, $71,883.00, $83,884.00,
$89,409.00, $78,373.00, $75,138.00, $83,274.00, $91,670.00,
$92,903.00, $74,575.00, $77,973.00, $73,195.00, $83,379.00,
$73,439.00, $95,380.00, $98,473.00, $99,111.00, $71,077.00,
$75,251.00, $74,547.00.
I also need the standardized test statistic and the p-value as
well
please find the standardized test statistic and the p- value.