The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of n=6565, find the probability of a sample mean being greater than 219 if muμequals=218 and sigmaσequals=5.8
For a sample of n=65, the probability of a sample mean being greater than 219 if μ=218 and sigmaσequals=5.8 is?
n = 65
μ = 218
σ = 5.8 / √65 = 0.7194
X = 219
Z = X - μ / σ
Z = 219 -218 / 0.7194
Z = 1.39
P(x >219)
=p( z > 1.39)
= 0.5 - 0.4177 [standard normal distribution table]
= 0.0823 or 8.23%
The sample mean does not considered unusual because probabality is greater than 0.05 of the sample mean within the range.
The population mean and standard deviation are given below. Find the required probability and determine whether...
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