Benjamin rents s storage unit that is shaped like a cube. There are 12 identical storage units in each row of the facility. If e
2 answers:
<h2>Answer:</h2>
The length of each row in the facility is:
60 feet
<h2>Step-by-step explanation:</h2>Let s denote the length of each of the storage unit.
Hence, the volume of each of the storage unit which are in the shape of a cube is given by:
Based on the information we have:
Hence, the length of each of the storage unit is : 5 feet
Also,
There are 12 identical storage units in each row of the facility.
This means that the total length of row= 12×Length of one unit
i.e.
Total length of row= 12×5
i.e.
Total length of row= 60 feet
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Answer:
The 99% confidence interval would be given (11.448;14.152).
Step-by-step explanation:
1) Important concepts and notation
A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"
represent the sample deviation
represent the sample mean
n =1003 is the sample size selected
Confidence =99% or 0.99
represent the significance level.
2) Solution to the problem
The confidence interval for the mean would be given by this formula
We can use a z quantile instead of t since the sample size is large enough.
For the 99% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 99% confidence interval would be given (11.448;14.152).
We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.