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For the given​ claim, complete parts​ (a) and​ (b) below.
​Claim: High school teachers have incomes with a standard deviation that is more than ​$20,250. A recent study of 130 high school teacher incomes showed a standard deviation of ​$23,250.

a. Express the original claim in symbolic form. 
    sigma > 420,250. 
b. identify the null and the alternative hypotheses that should be used to arrive at a conclusion that supports the claim. 
H0: sigma  = $20,250
H1: sigma  > 420,250