50% 0.674 60% 0.841 70% 1.036 80% 1.282 90% 1.645 95% 1.960 96% 2.054 98% 2.326 99% 2.576 99.5% 2.807 99.8% 3.091 99.9% 3.291 The ideal (daytime) noise-level for hospitals is 45 decibels with a standard deviation of 10 db. A simple random sample of 85 hospitals at a moment during the day gives a mean noise level of 46 db. Assume that the standard deviation of noise level is really 10 db. Part One. Assuming that the average noise level of hospitals is what it's supposed to be, what is the probability of a sample of 85 hospitals producing an average as high as our sample's (p-value)? Which comes from a test-statistic of z=40 (without sign) Part Two: Assuming that the average noise level of hospitals is what it's supposed to be, what is the probability of a sample of this many hospitals producing an average as far from the truth as is our sample's (p-value)?