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Andrews [41]
3 years ago
14

Numbers 10, 100, 1,000, and so on are called

Mathematics
2 answers:
wlad13 [49]3 years ago
8 0
I do believe that those are called numbers
anygoal [31]3 years ago
6 0
Numbers starting with a 1 and followed by only 0s (such 10, 100, 1,000,10,000<span>, and so forth) are called powers of ten, and they're easy to represent as "exponents". Powers of ten are the result of multiplying 10 times itself any number of times.</span>
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In a sample of 60 electric motors, the average efficiency (in percent) was 85 and the standard deviation was 2. Section 05.01 Ex
jasenka [17]

Answer:

95% confidence interval for the mean efficiency is [84.483 , 85.517].

Step-by-step explanation:

We are given that in a sample of 60 electric motors, the average efficiency (in percent) was 85 and the standard deviation was 2.

So, the pivotal quantity for 95% confidence interval for the population mean efficiency is given by;

          P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \mu = sample average efficiency = 85

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            \mu = population mean efficiency

<em>So, 95% confidence interval for the mean efficiency, </em>\mu<em> is ;</em>

P(-2.0009 < t_5_9 < 2.0009) = 0.95

P(-2.0009  < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 2.0009 ) = 0.95

P( -2.0009  \times {\frac{s}{\sqrt{n} } < {\bar X - \mu} < 2.0009  \times {\frac{s}{\sqrt{n} } ) = 0.95

P( \bar X -2.0009  \times {\frac{s}{\sqrt{n} } < \mu < \bar X +2.0009  \times {\frac{s}{\sqrt{n} } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X -2.0009  \times {\frac{s}{\sqrt{n} } , \bar X +2.0009  \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 85 -2.0009  \times {\frac{2}{\sqrt{60} } , 85 +2.0009  \times {\frac{2}{\sqrt{60} } ]

                                                 = [84.483 , 85.517]

Therefore, 95% confidence interval for the population mean efficiency is [84.483 , 85.517].

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Step-by-step explanation:

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Hope it will help :)

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