Answer:
The margin of error for the confidence interval for the population mean with a 98% confidence level is 2.88 miles per hour.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Find the margin of error for the confidence interval for the population mean with a 98% confidence level.

The margin of error for the confidence interval for the population mean with a 98% confidence level is 2.88 miles per hour.
Answer:

Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to

we have


substitute


step 2
we know that
The area of a circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector with a central angle of 8 π/11 radians

False
The arc is double the inscribed angle.
Arc = 2*48 = 96
Answer:
A sample size greater than 30
Step-by-step explanation: The central limit theorem proffers the conditions necessary to obtain a normal or bell shaped distribution. It defines normal distribution in terms of mean, standard deviation and sample size. The sample size is a very important factor in determining the shape of a distribution.
Thus with a population having mean and standard deviation stated, in other to make use of or assume normal distribution, the sample size must be large. According tho the central limit theorem, a size of greater than 30 is deemed to be large enough. As the Same size increases, the sample mean converges to the value of the population mean.
Answer: The volume of the sculpture is 141.84 cubic-feet
Step-by-step explanation: Please see the attachments below