Consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.

A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.37215 g and a standard deviation of .05421 g. Identify the weights that are significantly low or significantly high.

What weights are significantly low? (Round to five decimal places as needed. Use ascending order.)

What weights are significantly high?

(Round to five decimal places as needed. Use ascending order.)

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jtellezd jtellezd · Answer 1 · 2020-10-22T18:51:26+02:00

Answer:

z₁ = 5,361308 this value, and values below this value, should be considered significantly low

z₂ = 5,48057 this value, and values above this value, should be considered significantly high

Step-by-step explanation:

z (score) = z₁ - μ₀ / σ

where μ₀ is mean and σ the standard deviation.

if z (score) is equal to -2 ( or less) then

-2 = (z₁ - 5,37215)/0,05421

( -2 )*0,05421 = z₁ - 5,37215

- 0,10842 = z₁ - 5,37215

z₁ = 5,37215 - 0,010842

z₁ = 5,361308

And if z = 2

2* 0,05421 = z₂ - 5,37215

0,10842 = z₂ - 5,37215

z₂ = 5,37215 + 0,10842

z₂ = 5,48057