To find:
The volume of the water in the cup when it is full.
Solution:
The volume of the water is equal to the difference of the volume of the small cone and the larger cone.
Here, the ratio of the radius of both cones is equal to the ratio of their heights. SO,
The radius of the larger cone is 4.5 cm.
So, the volume of the water is:
The volume of water when the cup is full is 332.64 cm^2.
Answer:
For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.
The confidence interval for the mean is given by the following formula:
(1)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.
The confidence interval for the mean is given by the following formula:
(1)