Answer:
500.85 to 519.15
Step-by-step explanation:
The computation is shown below;
The z value for the 98% confidence interval is 2.33
Now the margin of error is
= (z × standard deviation) ÷ √n
= (2.33 × 36) ÷ √87
= (83.88 ) ÷ √87
= 83.88 ÷ 9.327379
= 8.99
= 9
Now The confidence interval mean is
= (510 - 9) (510 +9)
= (501) ; (519)
