A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,
2 answers:
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Answer:
So on this case the 99% confidence interval would be given by (2.56;2.68)
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
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the mean and the sample deviation we can use the following formulas:
(2)
(3)
The mean calculated for this case is
The sample deviation calculated
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.99 or 99%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 99% confidence interval would be given by (2.56;2.68)
Answer:
You have a jug holding 6 liters of water. Water from the jug is to be poured into small water bottles which can hold 1/3 liters of water each. How many bottles can you fill with this water?
Step-by-step explanation:
Total quantity of water available = 6 liters
Water that can be filled in each bottle = liter
Since one bottle can hold liter, in order to find how many bottles can hold 6 liters, we need to divided 6 by
.
So,
Total number of water bottles that can be filled are =
Therefore, we can fill 18 water bottles using the water from the jug.