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Help with statistics! How do I set this up? "Assume that the average life of a color TV is 8.2 years with a standard deviation of 1.3 years before it breaks. Suppose that a company guarantees color TVs and will replace a TV that breaks while under guarantee with a new one. However, the company does not want to replace more than 15% of the TVs under guarantee. For how long should the guarantee be made (rounded to the nearest tenth of a year)?"
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mean is 8.2, sd = 1.3 determine the z value for 15%
\[z=\frac{x-mean}{sd}\] \[z(sd)+mean=x\]
im thinking we can do a one tailed run for it .... to find the shortest 15%
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