Bea is building a 1:120 scale model of a museum building. Her model has a rectangular base that is 3 feet wide and 2 feet long.
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Answer:
Step-by-step explanation:
From the information given:
mean life span of a brand of automobile = 35,000
standard deviation of a brand of automobile = 2250 miles.
the z-score that corresponds to each life span are as follows.
the standard z- score formula is:
For x = 34000
z = −0.4444
For x = 37000
z = 0.8889
For x = 3000
z = -2.222
From the above z- score that corresponds to their life span; it is glaring that the tire with the life span 30,000 miles has an unusually short life span.
For x = 30,500
z = -2
P(z) = P(-2)
Using excel function (=NORMDIST -2)
P(z) = 0.022750132
P(z) = 2.28th percentile
For x = 37250
z = 1
Using excel function (=NORMDIST 1)
P(z) = 0.841344746
P(z) = 84.14th percentile
For x = 35000
z = 0
Using excel function (=NORMDIST 0)
P(z) = 0.5
P(z) = 50th percentile