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denis23 [38]
3 years ago
13

The length of line PQ is 7.5 inches. what is the absolute error of the measurement?

Mathematics
1 answer:
Rashid [163]3 years ago
4 0

Answer:

The absolute error of the measurement is 0.25 inches

Step-by-step explanation:

we know that

The absolute error of a measurement is equal to one  half the unit of measure.

In this problem we have

7.5 inches

The measurement is given  by 0.5 inches

So

the absolute error of this  measurement is  

\frac{1}{2}(0.5)=0.25\ in

Therefore

the exact measurement could be between  

7.5 (+/-) 0.25 in

That is, between  7.25 in and  7.75 in

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The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.
Natalija [7]

Answer:

The sample size should be approximately 151.      

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 100

Population standard deviation, σ = 15

We have to evaluate the sample size, n.

Alpha, α = 0.10

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

100 \pm 1.64(\frac{15}{\sqrt{n}} ) = (98,102)

100 \pm 1.64(\displaystyle\frac{15}{\sqrt{n}} ) = (98,102)\\\\1.64(\frac{15}{\sqrt{n}} ) = 2\\\\n = 151.29 \approx 151

Thus, the sample size should be approximately 151.

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Answer:

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Step-by-step explanation:

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