The average age of residents in a large residential retireme

The average age of residents in a large residential retirement community is 69 years with standard deviation 5.8 years. A simple random sample of 100 residents is to be selected, and the sample mean age $\"q13-1.png\"$ of these residents is to be computed. The probability that the average age, $\"q13-2.png\"$ of the 100 residents selected is less than 68.5 years is:

	0.043.
	0.568.
	0.195.
	0.805.

Normal Distribution
Mean ( u ) =69
Standard Deviation ( sd )=5.8
Number ( n ) = 100
Normal Distribution = Z= X- u / (sd/Sqrt(n) ~ N(0,1)
P(X < 68.5) = (68.5-69)/5.8/ Sqrt ( 100 )
= -0.5/0.58= -0.8621
= P ( Z <-0.8621) From Standard NOrmal Table
= 0.195

The average age of residents in a large residential retirement community is 69 years with standard deviation 5.8 years. A simple random sample of 100 residents

The average age of residents in a large residential retireme

Solution

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