SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their mean mathematics SAT score to be 433 . Assume the population standard deviation is 115 . (a) Construct a 99 % confidence interval for the mean mathematics SAT score for the entering freshman class. Round the answer to the nearest whole number.

The 99% confidence interval is    

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  100

   The sample mean is  

    The standard deviation is

From the question we are told the confidence level is  99% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the margin of error is mathematically represented as  

=>  

=>  

Generally 99% confidence interval is mathematically represented as  

=>        

=>      

step-by-step explanation: