Question

C. Test scores that are greater than (Round to one decimal place as needed.) X-12 7. 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 5.46596 g and a standard devi 0.06162 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. O A. Weights that are between and (Round to five decimal places as needed. Use ascending order.) -2 X-540S가 B. Weights that are less than (Round to five decimal places as needed.) O C. Weights that are greater than What weights are significantly high? Select the correct answer below an d filli thte answer box(es) to complete your choice. O A. Weights that are less than (Round to five decimal places as needed.) (Round to five decimal places as needed.) (B. Weights that are greater than (Round to five decimal places as needed.) O C. Weights that are between .(Round to five decimal places as and needed. Use ascending order.) g%

Answer 1

Mean = $\mu$ = 5.46596 g

S.D = 0.06162g

Z - Score = ( X - $\mu$ ) / S.D

X = Actual scores

Significantly low weights : Z <= -2

( X - $\mu$ ) / S.D <= -2

X - 5.46596 <= -2 * 0.06162

X <= 5.34272 g

B WEIGHTS THAT ARE LESS THAN 5.34272 g

Similarly for

Significantly high weights : Z >= 2

X >= 5.5892 g

B WEIGHTS THAT ARE GREATER THAN 5.46596 g

Answer 2

Let X be the weight of a randomly selected coin. X has a mean
μ 5.46596
and standard deviation
σ-0.06162

The z-score of X=x is

x-5.46596 0.06162 x-μ

a) Weights are considered significantly low if the z score is less than or equal to -2. Let be the value of low weight below which the weights will be considered significantly low. Using the z score of we get

5.46596 0.06162 S-2 ' 피 < 5.46596-2 × 0.06162 → x, < 5.34272

Weights are considered significantly low if

ans: B) Weights are less than 5.34272 g

Weights are considered significantly high if its z score is greater than or equal to 2. Let be the value of high weight above which the weights will be considered significantly high. Using the z score of to 2 we get

Th-5.46596 0.06162 、Zn > 5.46596 + 2 × 0.06162 →Th > 5.5892

Weights are considered significantly high if

ans: B. Weights are greater than 5.58920 g