It is known that if a signal of value is sent from location A, then the

It is known that if a signal of value μ is sent from location A, then the value received at location B is normally distributed with mean μ and standard deviation 2.

That is, the random noise added to the signal is an N(0, 4) random variable. There is reason for the people at location B to suspect that the signal value μ = 8 will be sent today. Test this hypothesis if the same signal value is independently sent five times and the average value received at location B is X = 9. 5.