Suppose that replacement times for refrigerators are normally distributed with a mean of 9.7 years and...

Question

Question

Suppose that replacement times for refrigerators are normally distributed with a mean of 9.7 years and a standard deviation of 1.1 years.

a) Find the replacement time that separates the bottom 18% from the top 82%.

math Statistics-And-Probability

Answer 1

Answer #1

Given that,

mean = = 9.7

standard deviation = = 1.1

Using standard normal table,

P(Z < z) = 18%

= P(Z < z) = 0.18

= P(Z <-0.92 ) = 0.18

z = -0.92 Using standard normal z table,

Using z-score formula

x= z * +

x= -0.92*1.1+9.7

x= 8.688

Answer 2

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