Question: The noise level in a room is measured n times
The noise level in a room is measured n times. The error Ɛ for each measurement is independent of the others and is normally distributed with zero- mean and standard deviation σe = 0.1. In terms of the true mean, μ, determine the PDF of the sample mean, ǔ ,for n = 100.
Relevant QuestionsA company manufactures five- volt power supplies. However, since there are manufacturing tolerances, there are variations in the voltage design. The standard deviation in the design voltage is 5%. Using a 99% confidence ...The number of cars approaching a toll booth in a minute follows a geometric random variable with a mean of 2 cars/ minute. The time it takes the toll collector to serve each car is an exponential random variable with a mean ...Suppose we form a sample variance from a sequence of IID Gaussian random variables and then form another sample variance from a different sequence of IID Gaussian random variables that are independent from the first set. We ...A random process is given by X (t) = A cos (ωt) + B sin (ωt), where A and B are independent zero- mean random variables. (a) Find the mean function, µX (t). (b) Find the autocorrelation function, RX,X (t1, t2). (c) ...Let Wn be an IID sequence of zero- mean Gaussian random variables with variance . Define a discrete- time random process, X[ n] = pX[ n – 1]+ Wn, n = 1, 2, 3, … where X[ 0] = W0 and is a constant. (a) Find the mean ...
Post your question