Answer:
Explained below.
Step-by-step explanation:
(10)
The data set is:
S = {124, 94, 129, 109, 114}
The mean and standard deviation are:
The correct option is B.
(11)
According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.
So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.
The correct option is B.
(12)
Let the score be <em>X</em>.
Given:
μ = 100
σ = 26
The correct option is B.
(13)
Let <em>X</em> be the prices of a certain model of new homes.
Given:
Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:
According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.
The correct option is D.
(14)
Compute the percentage of buyers who paid more than $154,800 as follows:
According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.
The correct option is D.
(15)
The <em>z</em>-score is given as follows: