Question

In: Statistics and Probability

A production manager at a wall clock company wants to test their new wall clocks. The...

A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 1717 years with a variance of 1616.

If the claim is true, in a sample of 4343 wall clocks, what is the probability that the mean clock life would be greater than 17.917.9 years? Round your answer to four decimal places.

Solutions

Expert Solution

Solution :

Given that ,

mean = = 17

variance 2 =  16

standard deviation = = 4

n = 43

= 17

= / n = 4/ 43 = 0.61

P( > 17.9) = 1 - P( <17.9 )

= 1 - P[( - ) / < (17.9-17) /0.61 ]

= 1 - P(z < 1.48)

Using z table

= 1 - 0.9306

= 0.0694

probability=0.0694


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