Question

At a local restaurant the amount of time that customers have to wait for their food normally distributed with a mean of 26 min and a standard deviation of 4 min. Using emperical rule
determine interval of min that the middle 99.7% of customers have to wait

Answer 1

Answer:

hy mate

Step-by-step explanation:

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FriesAintHere879

04/22/2020

Mathematics

Middle School

+5 pts

Answered

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 minutes and a standard deviation of 4 minutes. Using the empirical rule, determine the interval of minutes that the middle 99.7% of customers have to wait.

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Answer

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ChiKesselman

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.

About 68% of data lies within one standard deviation from the mean.

About 95% of data lies within two standard deviations of the mean.

About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their foood

Answer 2

$\huge\star\underline\mathfrak\blue{solution}$

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

___________________________

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

❥Almost all the data lies within three standard deviation from the mean for a normally distributed data.

❥About 68% of data lies within one standard deviation from the mean.

❥About 95% of data lies within two standard deviations of the mean.

❥About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.¡!¡

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