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2 years ago

75 POINTS!!! PLEASE ANSWERl

Mathematics

2 answers:

denpristay [2]2 years ago

4 0

Answer:

67th percentile

Step-by-step explanation:

If the mean is 8 with a standard deviation of 1.5, the percentile rank of a shoe with at least a size of 9 is 66.6 repeating, or 67th if rounded.

Nina [5.8K]2 years ago

4 0

Answer:

Step-by-step explanation:

<u>Find z-score:</u>

z = (9 - 8)/1.5 ≈ 0.67

<u>Get the rank from the z-table:</u>

0.7486 ≈ 75%

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Kaylis [27]

Answer: 95% confidence interval = 20,000 ± 2.12 $\times$ $\frac{1500}{\sqrt{17} }$

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

Step-by-step explanation:

Given :

Sample size(n) = 17

Sample mean = 20000

Sample standard deviation = 1,500

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∴ $\frac{\alpha}{2}$ = 0.025

Degree of freedom ( $d_{f}$ ) = n-1 = 16

∵ Critical value at ( 0.025 , 16 ) = 2.12

∴ 95% confidence interval = mean ± $Z_{c}$ $\times$ $\frac{\sigma}{\sqrt{n} }$

Critical value at 95% confidence interval = 20,000 ± 2.12 $\times$ $\frac{1500}{\sqrt{17} }$

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

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3 years ago

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