Question 3 b please

hud Yo 3. A school administrator claims that students whose first language learned is not English score worse on the verbal portion of the SAT exam than students whose first language is English. The mean SAT verbal score of students whose first language is English is 515 with a population standard deviation of 112, on the basis of data obtained from the College Board. SAT verbal scores are normally distributed. In a random sample of 20 students whose first language learned were not English results in a sample mean SAT Verbal Score of 458. a) Is there significant evidence in the administrator's claim that the SAT Verbal Score will be lower than those students whose first language is English? Provide statistical evidence to support your answer. Base it on the 5% level of significance and the 1% level of significance. b) Based on the work done, what are the Type I and Type I errors? What are the consequences of each and which is more serious? If the administrator wants to start a new program to assist these types of students in improving their SAT Verbal score, what should he do based on the errors? a) *=458 TS 3-2.270 p-volue = 0.114 reject null hypothesis an 5% level of we be reject pull a 1%. b) Type I Eccor we conclude +hut SAT wlbul ICO be love! than those stud when Suge English even though when in nor true Type a Error up fill to conclude the SAT thl scoll will be loved thin now stodons