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notka56 [123]
2 years ago
6

8/15 multiplied by 5/6

Mathematics
2 answers:
weeeeeb [17]2 years ago
5 0
To multiply two fractions, we multiply the top number (numerators) together and the bottom numbers together (denominators) and then simplify.

8 x 5 = 40
15 x 6 = 90

40/90 can be simplified (÷10) to 4/9
andriy [413]2 years ago
5 0
8/15×5/6
=8/18
=4/9
=0.444
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c)0.8904

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Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

z(p)=\frac{ME*\sqrt{N}}{s } where

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  • s is the standard deviation of the population
  • N is the sample size

a.

z(p)=\frac{8*\sqrt{30}}{50 } ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

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z(p)=\frac{8*\sqrt{50}}{50 } ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

c.

z(p)=\frac{8*\sqrt{100}}{50 } ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

d.

Minimum required sample size for 0.95 probability is

N≥(\frac{z*s}{ME} )^2 where

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  • z is the corresponding z-score in 95% probability (1.96)
  • s is the standard deviation (50)
  • ME is the margin of error (8)

then N≥(\frac{1.96*50}{8} )^2 ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

7 0
3 years ago
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