A school administrator wonders if students whose first langu

A school administrator wonders if students whose first language is not English score differently on the math portion of the SAT exam than students whose first language is English. The mean SAT math score of students whose first language is English is 516, on the basis of data obtained from the college Board. SAT math scores are normally distributed with a population standard deviation of 114. Suppose a simple random sample 20 students whose first language was not English results in a sample mean SAT score of 522. The administrator contains the following output from Mintab and will test his question using alpha = 0.10.

Solution

Since the Population mean and the population standard deviation are given and scores follow normal distributions . As the number of students is also given that is the sample size is given, The p-value is also given So all the assumptions of t-test are given.

Hence assumptions of t-test are satisfied