Answer:
C. Probability is 0.90, which is inconsistent with the Empirical Rule.
Step-by-step explanation:
We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.
First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:










Now, we need to find the probability
.
Using property
, we will get:

From normal distribution table, we will get:



Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.
<span>Number line refers to a mathematical process of
solving the equation with the use of lines.
=> 235 + 123
Starting from 0 you count 1 up to 235. Then starting from 235 you additionally
count another 123.
Then from zero start counting the total number to the line you stopped when
adding 123 to 235.
This simply equals to
=> 235 + 123
=> 358.
Pls. see attached image for illustration of number line.</span>Answer here
The mean is the average of the numbers, so if x = all 11 numbers added together, then you have the equation:
x / 11 = 7, so x = 77 (this is all of the numbers added together)
if the number 13 is removed, the equation becomes:
(77 - 13) / 10 = M (M is the new mean)
so the new mean is 6.4