Suppose, household color TVs are replaced at an average age of μ = 8.4 years after purchase, and the (95% of data) range was from 4.4 to 12.4 years. Thus, the range was 12.4 − 4.4 = 8.0 years. Let x be the age (in years) at which a color TV is replaced. Assume that x has a distribution that is approximately normal.
standard deviation ≈ 

≈ 

Note:
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Solution:
If a random variable x has a distribution with mean µ and standard deviation σ, then the zscore is defined as,
(a)Estimating the standard deviation:
It is given that, for a symmetric or bell shaped distribution, standard deviation is,
Standard deviation ≈ Range/4.
It is given that, range is, 8.0 years.
Th...
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