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Mathematics, 05.05.2020 17:41 CoolDudeTrist

To investigate water quality, in early September 2016, the Ohio Department of Health took water samples at 24 beaches on Lake Erie in Erie County. Those samples were tested for fecal coliform, which is the E. coli bacteria found in human and animal feces. An unsafe level of fecal coliform means there is a higher chance that disease‑causing bacteria are present and more risk that a swimmer will become ill if she or he should accidentally ingest some of the water. Ohio considers it unsafe for swimming if a 100‑milliliter sample (about 3.4 ounces) of water contains more than 400 coliform bacteria. The E. colilevels found by the laboratories are shown in the table.18.7 579.4 1986.3 517.2 98.7 45.7 124.6 201.419.9 83.6 365.4 307.6 285.1 152.9 18.7 151.5365.4 238.2 209.8 290.9 137.6 1046.2 127.4 224.7Take these water samples to be an SRS of the water in all swimming areas in Erie County. Let represent the mean E. colicounts for all possible 100‑mL samples taken from all swimming areas in Erie County. We test H0:=400 versus H:<400 because the researchers are interested in whether the average E. coli levels in these areas are safe.(a) Find x⎯⎯⎯ , , and the statistic. (Enter your answers rounded to three decimal places)x⎯⎯⎯===Find the P-value . (Enter your answer rounded to four decimal places.)P‑value=

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