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melamori03 [73]
3 years ago
5

100 is 10 times as much as?

Mathematics
1 answer:
jeka943 years ago
3 0
10*10 = 100
10^2 = 100
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g If a random sample of 18 deliveries was selected instead and the standard deviation of these delivery times was found to be 9.
lana [24]

Answer:

We can use the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

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And using a calculator, excel or the normal standard table and we have that:

P(0.456

Step-by-step explanation:

We assume this previous info:  It is known that the amounts of time required for room-service delivery at a certain Marriott Hotel are Normally distributed with the average delivery time of 20 minutes.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

X \sim N(20,9.31)  

Where \mu=20 and \sigma=9.31

Since the distribution for X is normal then the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we can use the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

If we use this formula we got:

z=\frac{21-20}{\frac{9.31}{\sqrt{18}}}= 0.456

z=\frac{25-20}{\frac{9.31}{\sqrt{18}}}= 2.279

And using a calculator, excel or the normal standard table and we have that:

P(0.456

6 0
3 years ago
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