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The z-score value for 93.32% will be negative 1.5. Then the average number of skateboards produced per day last year is 310.
What is a normal distribution?
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
Last year, the number of skateboards produced by a skateboard company is normally distributed.
The standard deviation of skateboards produced was 20 skateboards.
They found they produced up to 280 skateboards on 93.32% of the days last year.
Then the z-score value for 93.32% will be negative 1.5.
Then we have
z = (x - μ)/σ
-1.5 = (280 - μ)/20
-30 = 280 - μ
μ = 280 + 30
μ = 310
More about the normal distribution link is given below.
https://brainly.com/question/12421652
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