A researcher is interested in estimating the average of the current starting salary for school teachers. She collected a random sample of 100 new teachers and obtained a sample...

A researcher is interested in estimating the average of the current starting salary for school teachers. She collected a random sample of 100 new teachers and obtained a sample mean x¯=$37,120x¯=$37,120. assume the standard deviation is σ=$2,100σ=$2,100.

1.   Find a 96% confidence interval for the average starting salary of all school teachers:
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   

   critical value z∗=z∗=	1.75071.961.55481.64452.0537
   lower end of the confidence interval:	$33,443.53$37,551.28$36,688.72$40,796.47$41,432.87$431.28$32,807.13
   upper end of the confidence interval:	$33,443.53$37,551.28$36,688.72$40,796.47$41,432.87$431.28$32,807.13

   
   


2.  Based on this study, is it justified that the mean starting salary μμ is more than $37,000?
   Ans: