SOLUTION: A job director learned that the mean starting monthly salary for teachers is Php14,000.00. A sample means starting monthly salary of Php13,450.00 and a standard deviation of Php400

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Question 1181791: A job director learned that the mean starting monthly salary for teachers is Php14,000.00. A sample means starting monthly salary of Php13,450.00 and a standard deviation of Php400.00 were gathered from a survey involving 10 teachers. Is there enough evidence to reject the director’s claim at a 0.05 level of significance?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Ho: salary is 14000
Ha: salary is not
alpha=0.05 p{reject Ho|Ho true}
test stat is a t(0.975, df=9)
critical value |t| >2.262
t=(13450-14000)/400/sqrt(10)
=-550*sqrt(10)/400
=-4.35
reject Ho and conclude that the true monthly salary is < 14,000 with p-value <0.0019

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