An experiment attempts to estimate the average throughput of a communication link.For every second, it measures the number of packets that passed that link in this second.The experiment lasts 200 seconds and the 200 measurements can be found in the file namedhm1prob1.csv ( I can not upload the csv file, added the values below). Using the batch mean method and a batch size of 10, compute the mean throughput (in packets/second) of each batch. Then, show how to compute the overall mean throughout of the communication link and the 90% confidence interval of the mean.Show both the result and the intermediate steps of your computation process.

108.3854 147.3636 120.6844 138.8934 135.093 125.2424 141.9543 135.7979 117.3228 110.3525 116.3118 95.90564 85.97529 93.41158 94.50935 129.6106 98.59427 128.1062 126.6842 98.76556 113.7864 100.2597 94.60489 128.919 142.8118 166.7786 115.3076 139.0943 130.2252 131.7178 156.8749 115.5826 140.1142 143.849 144.5882 102.673 130.2531 113.4887 120.4234 103.9796 96.93792 142.2583 86.84574 147.7936 152.337 83.90201 145.5948 77.66285 96.65329 160.1604 128.947 130.351 118.5957 130.5963 117.7738 109.7933 97.71761 116.6333 137.4073 134.4148 153.2182 117.3157 116.9198 108.5071 122.5463 108.2339 129.8049 147.0536 94.61386 109.2058 91.81007 115.731 127.8936 121.9741 151.1278 130.2603 121.5878 137.2062 123.8911 135.1291 111.8155 104.1043 100.3253 144.2407 133.7761 105.1822 111.5588 122.8281 151.9725 133.2594 131.1344 91.34644 78.17353 116.9263 133.5665 134.091 140.7857 87.06681 86.84796 134.3487 113.1882 139.412 163.1403 152.637 134.3802 150.1149 118.9701 129.493 149.7619 143.4942 146.2324 106.3921 104.2579 98.84822 141.4198 129.918 95.87878 130.6753 115.7619 100.3135 116.4957 135.8206 82.36937 118.534 153.7562 129.3644 87.42083 116.4635 129.6013 120.8238 105.1244 131.0598 136.6278 114.0002 102.2197 136.9841 102.4628 124.793 118.1116 128.4714 133.4054 80.8589 120.4383 101.6985 98.9164 128.2652 120.127 116.7434 136.559 126.5774 114.5029 122.6529 135.7553 113.0776 117.5709 101.3622 153.8091 138.5364 130.767 116.6281 84.42861 84.67709 123.3608 122.8461 124.3328 129.4012 100.1091 110.9209 105.4918 118.9312 130.4582 142.3946 127.2237 146.0274 99.15334 115.0487 132.9635 132.5427 108.7846 140.9951 125.1355 97.80941 103.6454 102.6115 158.0111 92.87965 94.94369 115.1498 135.4751 113.5885 123.4208 147.0774 143.3867 114.0001 100.3651 102.5872 130.8259 100.4084 105.438 132.9722