Question

My family owned two Honda Civics. One of them is 1999 and lasted 8.5 years without a major repair. Other one (2002) lasted 9.5 years, but the distribution of 2002 Honda Civic had higher mean (8.5) with a standard deviation of 2.1 years. Which Honda Civic did better relative to other Honda Civics from the same year? (compare z scores from different normal distributions:1999 and 2002).

Answer 1

Answer:

$Z_{2002}$  is better

Step-by-step explanation:

1999                          2002

x = 8.5                       x = 9.5

μ = 7.5                       μ = 8.5

σ = 1.8                        σ = 2.1

$Z_{1999}$  = x - μ / σ

        = 8.5 - 7.5 / 1.8

         = 0.5556

$Z_{2002}$  = x - μ / σ

        = 9.5 - 8.5 / 2.1

         = 0.4762

$Z_{2002}$  is better