The ideal (daytime)noise-level for hospitals is 45 decibels with a standard deviation of 10 decibels. A simple random sample of 700 hospitals at a moment during the day gives a mean noise level of 46 decibels. Assume that the standard deviation of noise level is really 10 decibels. 1)Assuming that the average noise level of hospital is what it’s supposed to be, what is the probability of a sample of 700 hospital producing an average as high as our sample’s (p-value)? 2) Which comes from a test statistic of z=____ 3) 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)?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The ideal (daytime)noise-level for hospitals is 45 decibels with a standard deviation of 10 decibels. A simple random sample of 700 hospitals at a moment during the day gives a mean noise level of 46 decibels. Assume that the standard deviation of noise level is really 10 decibels. 1)Assuming that the average noise level of hospital is what it’s supposed to be, what is the probability of a sample of 700 hospital producing an average as high as our sample’s (p-value)? 2) Which comes from a test statistic of z=____ 3) 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)?
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