Question 598424:  NO CALCULATIONS REQUIRED!!! Just tell whether or not you reject the null hypothesis and then write a vali conclusion.
 
1. when 200 convicted embezzelers were randomly selected, the mean length of prison was 22.1 months and the standard deviation was found to be 8.6 months. a candidate running for governor on a platform of tougher treatment for convicted criminals claims that the mean sentence for embezzelers is less than 2 years. Use significance level .05. 
P-Value = .0010 
 Answer by jim_thompson5910(35256)      (Show Source): 
You can  put this solution on YOUR website! Rule: If the p-value is less than the level of significance alpha, then you reject the null hypothesis. Otherwise, you fail to reject the null hypothesis
 
 
In this case, the p value is 0.0010 which is clearly less than the level of significance alpha = 0.05
 
 
So we reject the null hypothesis.
 
 
This allows us to conclude that the mean prison length is less than 2 years.
 
 
 
Note: the null hypothesis and alternative hypothesis are, 
 
 
Ho: mu = 2
 
Ha: mu < 2 
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