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Ostrovityanka [42]
3 years ago
5

PLEASE HELP - The scatterplot shows the number of weekly hours that swimmers spend at an indoor pool and the average weekly outd

oor temperature.
(graph below)

Which data value would cause the interpretation of the data set to be understated?

A. (20, 1)
B. (55, 6)
C. (90, 2)
D. (95, 8)

Mathematics
2 answers:
Alisiya [41]3 years ago
8 0

Answer:

C. (90, 2)

Step-by-step explanation:

If the interpretation is understated, this means that it is reported lower than it actually is.

There is one value much lower than the rest, and that is (90, 2).  This would cause the interpretation to be understated.

UkoKoshka [18]3 years ago
5 0
Its c ..............................................
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The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
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Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

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

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

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

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

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

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

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