Consider a value to be significantly low if its z score less than or equal to minus2 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 5.45961 g and a standard deviation of 0.05215 g. Identify the weights that are significantly low or significantly high. What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.

· A Z-score reffered to as a numerical measurement that identifies a value's relationship to the mean of a group of values. Z-score is usually measured in terms of standard deviations from the mean.

We were to Consider a value to be significantly low if its z score less than or equal to minus2 or consider a value to be significantly high if its z score is greater than or equal to 2

the z-score is given by:

z-score=(x-μ)/σ

where:

x=score

μ=mean=5.45961

σ=std deviation=0.05215

To calculate the lowest cost when the the z-score is -2, we have

[tex]-2=(x-5.45961)/0.05215[/tex]

To get the value of x then we collect like terms

-0.1043 = =(x-5.45961)

x=-0.1043 + 5.45961

[tex]X=5.35531[/tex]

therefore, the lowest score is 5.35531

Let us calculate the highest score when the z-score is 2 ,

then highest score will be:

[tex]2=(x-5.45961)/0.05215[/tex]

To get the value of x then we collect like terms

0.1043 = =(x-5.45961)

x=0.1043 + 5.45961

[tex]X=5.45961[/tex]

therefore the highest score is x=5.45961