The mean salary of actuaries is and the standard deviation i

The mean salary of actuaries is $\"mu$ and the standard deviation is $\"sigma$ . You are interested to know if the mean salary for women actuaries is different from the population mean, but are not sure if it is higher or lower. You set up a hypothesis test with level of significance $\"alpha$ and

$\"H_o\"$ : $\"mu$
$\"H_a\"$ : $\"mu$

You collect a simple random sample of $\"n$ women\'s salaries and find that $\"bar$ . Use this information for questions 11-13.

Given a=0.05, Z(0.025) =1.96 (from stardard normal table)

So the lower limit of this 95% confidence interval is

xbar - Z*s/vn = 111000-1.96*36730/sqrt(36) = 99002

SO the upper limit of this 95% confidence interval is

xbar + Z*s/vn = 111000+1.96*36730/sqrt(36) =122999

The mean salary of actuaries is and the standard deviation is . You are interested to know if the mean salary for women actuaries is different from the populat

The mean salary of actuaries is and the standard deviation i

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