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Butoxors [25]
3 years ago
14

Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-sco

re associated with the upper boundary of of this price range.
Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer:

The z-score associated with the upper boundary of of this price range is -0.25.

Step-by-step explanation:

It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.

If <em>X</em> represents the price range of drink sales, then

P (X < x) = 0.40

Consider that <em>X</em> follows a Normal distribution.

To compute the probability of a normally distributed random variable we need to first convert the raw score to the <em>z</em>-scores.

The formula to <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

Then,

P (X < x) = 0.40

⇒ P (Z < z) = 0.40

The value of <em>z</em> for this probability is:

<em>z</em> = -0.25

*Use a <em>z</em>-table.

Thus, the z-score associated with the upper boundary of of this price range is -0.25.

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