Respuesta :
The proportion of the available motorcycles of sale price (online) for four-year-old harley davidson touring motorcycles is 20.29%.
What is meant by the term z score?
- A Z-score is a needs to be measured that describes the relationship of a value to the mean of a set of values.
- The Z-score is expressed in standard deviations of the mean.
- A Z-score of 0 signifies that the data point is entirely score is the same as the mean score.
The data for the sale price (online) for four-year-old harley davidson touring motorcycles is given.
The formula for the z score is-
Z = (x - μ)/σ
In which,
- mean, μ = $14,000
- standard deviation, σ = $4,000,
- standard variable x = $9,000 and $12,000 .
Find z score for x = $9,000.
z($9,000) = (9,000 - 14000)/4000
z($9,000) = -1.25
Find the p value from obtained z from negative z table.
p($9,000) = z(-1.25)
p($9,000) = 0.1056
For x = $12,000
z($12,000) = (12,000 - 14000)/4000
z($12,000) = -0.5
Find the p value from obtained z
p($9,000) = z(-0.5)
p($9,000) = 0.3085
For p($9,000 < x < $12,000) = 0.3085 - 0.1056
p($9,000 < x < $12,000) = 0.2029
p($9,000 < x < $12,000) = 20.29%
Thus, the proportion of the available motorcycles of sale price (online) for four-year-old harley davidson touring motorcycles is 20.29%.
To know more about the z score, here
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