A recent report from the American Medical Association claims that for the first time in 10 years, the average salary of psychiatrists was $189,121 with a standard deviation of $26,975. A random sample of 64 psychiatrists this year yielded an average salary of $198,630. Is there evidence that the average salary is actually higher than what the American Medical Association reported

Test statistic

        Z = 2.820 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

The average salary is actually higher than the reported the average of American  Medical Association

Step-by-step explanation:

Step(i):-

Given data

sample size 'n' = 64

mean of the Population( μ)   =  $189,121

Standard deviation of the Population(σ) =  $26,975

Mean of the sample (x⁻) = $198,630

Step(ii):-

Null hypothesis : H₀ : there is no significance difference between the  means

Alternative Hypothesis :H₁ : The average salary is actually higher than the reported the average of American  Medical Association

Test statistic

              Z =  2.820

Level of significance

∝ =0.05

Final answer:-

   Z = 2.820 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

The average salary is actually higher than the reported the average of American  Medical Association

the translated point is (5,2)

14 x 10 5

step-by-step explanation:

10 5 = 100,000

14x10,000 = 140,000