Take a random sample of 40 of these hospitals using a systematic sample of every 50th hospital, starting with hospital 1. Using the sample and assuming that the population standard deviation of beds is 150, construct a 95% confidence interval to estimate the mean number of beds for a hospital in the United States. American Hospital Association database

Beds 247 69 101 236 100 297 328 1062 49 45 115 66 139 38 47 20 286 250 163 90 150 876 70 236 60 349 192 132 183 387 245 70 251 40 40 35 50 684 200 217 50 45 50 25 74 27 117 22 22 14