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RUDIKE [14]
3 years ago
5

TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and

a standard deviation of 5 cm, what should be the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 10 cm on each end of the bassinet
Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

<em>The interior length of the bassinet to ensure that 99 percent of newborn babies will fit   = 1.7 cm</em>

Step-by-step explanation:

<u><em>Explanation:</em></u>-

<em><u>step(i):</u></em>-

Given mean of population = 50 cm  

<em>standard deviation of Population = 5 cm</em>

<em>Given Margin of error = 10 cm</em>

<em>The Margin of error is determined by </em>

<em></em>M.E = \frac{Z_{\alpha } S.D}{\sqrt{n} }<em></em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>Given level of significance ∝ = 99 % or 1 %</em>

Z₀.₀₁ = 2.576

10 = \frac{2.576 X 5}{\sqrt{n} }

\sqrt{n}  = \frac{2.576 X 5}{10}

√n = 1.3

squaring on both sides , we get

<em>n = 1.69≅ 1.7 cm</em>

<u><em> Final answer:</em></u>-

<em>The interior length of the bassinet to ensure that 99 percent of newborn babies will fit   = 1.7 cm</em>

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