The mean salary of federal government employees on the General Schedule is $59,593. The average salary of 30 state employees who do similar work is $58,800 with \sigmaσσ= $1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees? What is the critical value? Round your answer to the nearest hundredths.

Yes it can be concluded that state employees earn on average less than federal employees

  The critical value is  

Step-by-step explanation:

From the question we are told that

   The  population mean is  

   The sample size is  n =  30

    The  sample mean is

     The  standard deviation is  

     The significance level is  

The null hypothesis is  

 The  alternative hypothesis is  

The critical value of from the normal distribution table is  

 Generally the test statistics is  mathematically evaluated as

=>          

=>          

The  p-value is obtained from the z-table

Since , we reject the null hypothesis, hence it can be concluded that state employees earn on average less than federal employees  

answer: approximately 206 bones

i hope this u out a branlist and a would be greatly appreciated :

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form