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Andrej [43]
2 years ago
12

The poetry section of the library has 6 bookcases. Each bookcase has 3 shelves. There are 10 books on each shelf. How many total

books are in the poetry section of the library? Show your work.
Mathematics
1 answer:
torisob [31]2 years ago
5 0

Answer: total books = 180

Step-by-step explanation:

Given: Poetry section of the library has 6 bookcases.

Number of shelves in each bookcase = 3

Total shelves =  (Number of shelves in each bookcase) x (Number of bookcases in each poetry section)

= 3 x 6

= 18

Number of books in each shelf = 10

Total books = (number of shelves) x 10

= 18 x 10

= 180

hence, total books in the poetry section= 180

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8.2-2.58\frac{2.2}{\sqrt{18}}=6.86    

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So on this case the 90% confidence interval would be given by (6.86;9.54)    And the error is given by:

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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.

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\bar X=8.2 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=2.2 represent the population standard deviation

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Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

Now we have everything in order to replace into formula (1):

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8.2+2.58\frac{2.2}{\sqrt{18}}=9.54    

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