Test statistics with p-values
The ideal (daytime) noise-level for hospitals is 45 decibels with a standard deviation of 10 db. A simple random sample of 81 hospitals at a moment during the day gives a mean noise level of 47 db. Assume that the standard deviation of noise level is really 10 db.
1. Assuming that the average noise level of hospitals is what it’s supposed to be, what is the probability of a sample of 81 hospitals producing an average as high as our sample’s (p-value)? ______
Which comes from a test-statistic of z= ______ (without sign)
2. Assuming that the average noise level of hospitals is what it’s supposed to be, what is the probability of a sample of 81 hospitals producing an average as far from the truth as is our sample’s (p-value)? ______
