The data set TEMPS in Appendix C (and on the data disk) shows normal temperature (T ) and amount of precipitation (P) for weather stations around the United States. Using the January and March precipitation data as the population of interest, select a sample of n stations to answer the following. Choose an appropriate sample size and find a margin of error for each part. a. A single systematic sample of size 30, with an appropriate variance approximation. b. Three repeated systematic samples of size 10 each, with an appropriate variance approximation. Which method do you prefer, and why?Station J T J P F T F P M T M P A T A P Ma T Ma PAlbany, NY 22 2.2 24 2.1 33 2.6 47 2.7 58 3.3Albuquerque, NM 35 0.3 40 0.4 46 0.5 56 0.5 65 0.5Anchorage, AK 12 0.8 18 0.8 24 0.6 35 0.6 46 0.6Asheville, NC 38 3.4 39 3.6 46 4.7 56 3.5 64 3.3Atlanta, GA 42 4.3 45 4.4 51 5.8 61 4.6 69 3.7Baltimore, MD 33 2.9 35 2.8 43 3.7 54 3.1 64 3.6Barrow, AK -15 0.2 -19 0.2 -15 0.2 -1 0.2 19 0.2Birmingham, AL 44 4.8 47 5.3 53 6.2 63 4.6 71 3.6Bismarck, ND 8 0.5 14 0.4 25 0.7 43 1.4 54 2.2Boise, ID 29 1.5 36 1.2 41 1 49 1.1 57 1.3Boston, MA 29 3.7 30 3.5 38 4 49 3.5 59 3.5Buffalo, NY 24 2.9 24 2.6 32 2.9 45 3.2 55 3Burlington, VT 17 1.7 19 1.7 29 1.9 43 2.6 55 3Caribou, MA 11 2 13 2.1 24 2.2 37 2.4 50 3Charleston, SC 49 2.9 51 3.3 56 4.8 65 3 72 3.8Chicago, IL 24 1.9 27 1.6 37 2.7 50 3.8 60 3.4Cincinnati, OH 32 3.4 34 3 43 4.1 55 3.9 64 4Cleveland, OH 27 2.6 28 2.2 36 3.1 48 3.5 58 3.5Columbus, OH 28 2.9 30 2.3 39 3.4 51 3.7 61 4.1Dallas, TX 45 1.8 49 2.4 55 2.5 65 4.3 73 4.5Denver, CO 30 0.6 33 0.7 37 1.2 48 1.9 57 2.6Des_Moines, IA 19 1.1 24 1.1 34 2.3 50 2.9 61 4.2Detroit, MI 26 1.9 27 1.8 35 2.3 48 3.1 58 3.4Dodge_City, KS 31 0.5 35 0.6 41 1.1 54 1.7 64 3.1Duluth, MN 9 1.2 12 0.9 24 1.8 39 2.6 49 3.4Eureka, CA 47 7.4 48 5.2 48 4.8 50 3 53 2.1Fairbanks, AK -12 0.6 -3 0.5 10 0.5 29 0.3 47 0.7Fresno, CA 45 1.8 50 1.7 54 1.6 60 1.2 67 0.3Galveston, TX 54 3 56 2.7 61 2.6 69 2.6 76 3.2Grand_Junction, CO 27 0.6 34 0.6 41 0.8 52 0.8 62 0.6Grand_Rapids, MI 23 1.9 25 1.5 33 2.5 47 3.4 57 3.2Hartford, CN 25 3.3 27 3.2 36 3.8 48 3.8 58 3.5Helena, MT 18 0.6 25 0.4 31 0.7 43 0.9 52 1.8Honolulu, HI 72 4.4 72 2.5 73 3.2 75 1.4 77 1Houston, TX 52 3.6 55 3.5 61 2.7 69 3.5 76 5.1Huron, SD 13 0.4 18 0.8 29 1.1 46 2 57 2.8Indianapolis, IN 28 2.9 31 2.4 40 3.8 52 3.9 62 4.1Jackson, MO 47 4.5 50 4.6 56 5.6 66 4.7 73 4.4Jacksonville, FL 55 2.8 56 3.6 61 3.6 68 3.1 74 3.2Juneau, AK 24 3.9 28 3.4 32 3.6 39 3 47 3.3Kansas_City, MO 27 1.3 32 1.3 41 2.6 54 3.5 64 4.3Knoxville, TN 41 4.7 43 4.7 50 4.9 60 3.6 68 3.3Lander, WY 20 0.5 26 0.7 31 1.2 43 2.4 53 2.6Little_Rock, AR 40 4.2 43 4.4 50 4.9 62 5.3 70 5.3Los_Angeles, CA 57 3 58 2.8 59 2.2 62 1.3 65 0.1Louisville, KY 33 3.5 36 3.5 44 5.1 56 4.1 65 4.2Marquette, MI 18 1.5 20 1.5 27 1.9 40 2.6 50 2.9Memphis, TN 41 4.9 44 4.7 51 5.1 63 5.4 71 4.4Miami, FL 67 2.2 68 2 71 2.1 75 3.6 78 6.1Milwaukee, WI 19 1.6 23 1.1 31 2.2 45 2.8 54 2.9Minneapolis, MN 12 0.7 17 0.8 28 1.7 45 2 57 3.4Mobile, AL 51 4.7 54 4.8 59 7.1 68 5.6 75 4.5Moline, IL 22 1.7 26 1.3 36 2.6 51 3.8 61 3.9Nashville, TN 38 4.8 41 4.4 49 5 60 4.1 69 4.1Newark, NJ 31 2.9 33 3 41 3.9 52 3.4 62 3.6New Orleans, LA 53 4.5 56 4.8 61 5.5 69 4.2 75 4.2New_York, NY 32 2.7 33 2.9 41 3.7 52 3.3 62 3.5Nome, AK 6 0.9 5 0.8 7 0.8 19 0.7 35 0.7Norfolk, VA 41 3.4 41 3.3 48 3.4 58 2.7 67 3.3Oklahoma_City, OK 37 1.1 41 1.3 48 2.1 60 3.5 68 5.2Omaha, NE 23 0.8 28 1 37 1.6 52 3 63 4.1Parkersburg, WV 33 3.1 35 2.8 43 3.8 55 3.5 64 3.6Philadelphia, PA 32 2.8 34 2.6 42 3.7 53 3.3 63 3.4Phoenix, AZ 51 0.7 55 0.6 60 0.8 68 0.3 76 0.1Pittsburgh, PA 28 2.8 29 2.4 38 3.6 50 3.4 60 3.6Portland, MA 22 3.4 23 3.5 32 3.6 43 3.3 53 3.3Portland, OR 38 5.9 43 4.1 46 3.6 51 2.2 57 2.1Providence, RI 28 3.5 29 3.5 37 4 47 3.7 57 3.5Raleigh, NC 41 3.2 42 3.3 49 3.4 60 3.1 67 3.3Rapid_City, SD 22 0.5 26 0.6 31 1 45 2.1 55 2.8Reno, NV 32 1.2 37 0.9 40 0.7 47 0.5 55 0.7Richmond, VA 38 2.9 39 3 47 3.4 58 2.8 67 3.4St._Louis, MO 31 1.9 35 2.1 43 3 57 3.9 66 3.9Salt_Lake_City, UT 28 1.3 33 1.2 40 1.6 49 2.1 58 1.5San_Antonio, TX 51 1.7 55 2.1 61 1.5 70 2.5 76 3.1San_Diego, CA 55 1.9 57 1.5 58 1.6 61 0.8 63 0.2San_Francisco, CA 48 4.4 51 3 53 2.5 55 1.6 58 0.4San_Juan, PR 75 3.7 75 2.5 76 2 78 3.4 79 6.5Sault_Ste._Mar, MI 14 1.9 15 1.5 24 1.7 38 2.2 49 3Savannah, GA 50 2.9 52 2.9 58 4.4 66 2.9 73 4.2Seattle, WA 38 5.8 42 4.2 44 3.6 49 2.5 55 1.7Spokane, WA 25 2.5 32 1.7 38 1.5 46 1.1 55 1.5Springfield, MO 33 1.7 37 2.2 44 3 57 4.3 65 4.9Syracuse, NY 24 2.7 25 2.8 33 3 47 3.1 57 3Tampa, FL 60 2.3 62 2.9 66 3.9 72 2.1 77 2.4Trenton, NJ 32 2.8 33 2.7 41 3.8 52 3.2 62 3.4Washington, DC 36 2.6 37 2.5 45 3.3 56 2.9 66 3.7Wilmington, DE 32 2.9 34 2.8 42 3.7 52 3.2 62 3.4