A spinner is divided into 6 equal sections and colored as shown. The spinner is spun 60 times, and the results are recorded in t
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Answer:
So on this case the 95% confidence interval would be given by (315839.52;324416.48)
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
population mean (variable of interest)
represent the population standard deviation
n=529 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (315839.52;324416.48)
Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.
<h3>What is the volume of a sphere?</h3>The volume of a sphere of radius r is given by:
Aspherical balloon has a radius of 6 feet, hence the volume is:
It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:
It will be completely empty when:
Rounding, it will take 24 hours for the balloon to become completely empty.
More can be learned about the volume of a sphere at brainly.com/question/25608353