The volume of the cylinder is the area of the base (a circle) times the height (you can immagine taking a disk, the base, and translate it along the height to "fill" the cylinder).
So you have:
Answer:
(a)


(b)
B. The sample is too small to make judgments about skewness or symmetry.
Step-by-step explanation:
Given:


Solving (a):
First, calculate the difference between the recorded TBBMC for both operators:

The last row which represents the difference between 1 and 2 is calculated using absolute values. So, no negative entry is recorded.
The mean is then calculated as:




Next, calculate the standard deviation (s).
This is calculated using:

So, we have



Solving (b):
Of the given options (A - E), option B is correct because the sample is actually too small
Answer:
D. Tenths
Step-by-step explanation:
Because when you go behind the decimal, it starts out with tenths, then hundredths, and then thousandths. And 6 in the 1st spot behind the decimal so it's tenths.
hope I helped.
Answer:
Test scores of 10.2 or lower are significantly low.
Test scores of 31 or higher are significantly high
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Significantly low:
Z-scores of -2 or lower
So scores of X when Z = -2 or lower




Test scores of 10.2 or lower are significantly low.
Significantly high:
Z-scores of 2 or higher
So scores of X when Z = 2 or higher




Test scores of 31 or higher are significantly high