Question

# CT 60, 894 NY 1,029,888 MO 245,425 MS 92,831 CO 251,595 ME 60,894 PA 573,815 NE...

 CT 60, 894 NY 1,029,888 MO 245,425 MS 92,831 CO 251,595 ME 60,894 PA 573,815 NE 80,432 NC 370,883 ID 64,514 MA 380, 277 IL 574,429 ND 36,863 SC 176,365 MT 45,359 NH 70,699 IN 252,150 SD 38,950 TN 246,025 UT 119, 240 RI 47.731 MI 407,475 AL 165, 716 VA 384,479 WY 25,707 VT 31,284 OH 477, 536 AR 102,755 WV 65,138 AK 37,053 DE 42.655 WI 246,818 FL 876,422 AZ 257,505 CA 1,858,421 DC 44,361 IA 122,914 GA 383,834 NM 75,977 HI 69,262 MD 282, 921 KS 11,339 KY 157,066 OK 136,037 NV 125,801 NJ 469,735 MN 266,161 LA 168,245 TX 1,120,665 OR 179,015 WA 350,959

What is the confidence interval of 97%? What is the margin of error? Please show your work.

using excel we have

 Confidence Interval Estimate for the Mean formula used Data Sample Standard Deviation 331713.9889 STDEV.S(A2:A53) Sample Mean 268055.3846 AVERAGE(A2:A53) Sample Size 52 COUNT(A2:A53) Confidence Level 97% Intermediate Calculations Standard Error of the Mean 46000.45369 C4/SQRT(C6) Degrees of Freedom 51 C6-1 t Value 2.2325 T.INV.2T(1-C7, C11) Margin of Error 102696.1653 C12*C10 Confidence Interval Interval Lower Limit 165359.22 C5-C13 Interval Upper Limit 370751.55 C5+C13

the confidence interval of 97% is (165359.22,370751.55)

the margin of error is 102696.1653

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