Past Records Showed That The Average Final Examination Grade In Math Is 70 With A Standard Deviation Of 8. a random sample of 100 students was taken and found to have mean final examination grade of...

Past Records Showed That The Average Final Examination Grade In Math Is 70 With A Standard Deviation Of 8. a random sample of 100 students was taken and found to have mean final examination grade of 71.8. is this an indication that the sample is better than the rest of the students? Test at 0.05 level of significance.

it has been claimed that 30% of the students in a particular sschool dislike mathematics. When a survey was conducted, it showed that 153 of 600 students dislike mathematics. Test if the claim is too high at 0.05 level of significance.