A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a standard deviation of 7¢. If a new res

Question

A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a standard deviation of 7¢. If a new restaurant charges a price for iced tea that has a z-value of -1.25, then what is the tea’s actual cost?

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Amaya 1 week 2021-09-12T05:53:00+00:00 2 Answers 0

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    0
    2021-09-12T05:54:31+00:00

    Answer: It is actually 1.16$ (The guy below accidentally added an extra 1)

    Step-by-step explanation:

    0
    2021-09-12T05:54:46+00:00

    Answer:

    The tea’s actual cost is $116.25

    Step-by-step explanation:

    * Lets revise how to find the z-score

    – The rule the z-score is z = (x – μ)/σ , where

    # x is the score

    # μ is the mean

    # σ is the standard deviation

    * Lets solve the problem

    – The average cost of a glass of iced tea is $1.25

    – The standard deviation of it is 7 cents

    – A new restaurant charges a price for iced tea that has a

     z-value of -1.25

    * Lets change the average cost to cent

    ∵ $1 = 100 cents

    ∴ The average cost of a glass of iced tea = 1.25 × 100 = 125 cents

    ∵ z = (x – μ)/σ

    ∵ z = -1.25

    ∵ μ = 125

    ∵ σ = 7

    ∴ -1.25 = (x – 125)/7 ⇒ multiply both sides by 7

    ∴ -8.75 = x – 125 ⇒ add 125 to both sides

    ∴ 116.25 = x

    * The tea’s actual cost is $116.25

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