Answer:
(5.871 `; 6.127)
Step-by-step explanation:
Given :
Mean = 6
Standard deviation. σ = 0.5
Samplr size, n = 100
Zcritical at 99% confidence = 2.58
The confidence interval :
Mean ± margin of error
Margin of Error = Zcritical * σ / sqrt(n)
Margin of Error = 2.58 * 0.5/sqrt(100) = 0.129
Confidence interval :
Lower boundary = 6.00 - 0.129 = 5.871
Upper boundary = 6.00 + 0.129 = 6.129
(5.871 `; 6.127)
The answer is C above the line
Answer:
The volume of the pyramid is not equal to the volume of the cylinder.
Step-by-step explanation:
A right cylinder has the circular cross-sectional area and if the cross-sectional areas of a right pyramid and a right cylinder are the same then the pyramid must be a right circular cone.
Now, the volume of a right cylinder is πr²h and that of a right circular cone is 1/3 πr²h.
Therefore, the radius of the base of the cone and that of the cylinder is the same and their heights are equal to be 5 units, then the volume of the pyramid is not equal to the volume of the cylinder. (Answer)
Answer:
p percent of the observations are less than the value and (100 - p) percent are more than this value.
Step-by-step explanation:
Given : The pth percentile is a value such that approximately
Solution :
Definition : A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls
So, The pth percentile means p percentage of observations in a group of observations falls bellow the value
So, (100-p) percentage of observations in a group of observations falls above the value
So, Option a is true
Hence p percent of the observations are less than the value and (100 - p) percent are more than this value.
Answer: 
<u>Step-by-step explanation:</u>
