Answer: ![(0.10\ ,\ 0.18)](https://tex.z-dn.net/?f=%280.10%5C%20%2C%5C%200.18%29)
Step-by-step explanation:
According to the empirical rule, the 95% confidence interval for the true population proportion is given by :-
![(p'-2\sigma_{p'}\ ,\ p'+2\sigma_{p'})](https://tex.z-dn.net/?f=%28p%27-2%5Csigma_%7Bp%27%7D%5C%20%2C%5C%20p%27%2B2%5Csigma_%7Bp%27%7D%29)
Given : . The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.
Then, the 95% confidence interval for the true proportion of adults who prefer e-books will be :-
![(0.14-2(0.02)\ ,\ 0.14+2(0.02))\\\\=(0.14-0.04\ ,\ 0.14+0.04)\\\\=(0.10\ ,\ 0.18)](https://tex.z-dn.net/?f=%280.14-2%280.02%29%5C%20%2C%5C%200.14%2B2%280.02%29%29%5C%5C%5C%5C%3D%280.14-0.04%5C%20%2C%5C%200.14%2B0.04%29%5C%5C%5C%5C%3D%280.10%5C%20%2C%5C%200.18%29)
Hence, the 95% confidence interval for the true proportion of adults who prefer e-books= ![(0.10\ ,\ 0.18)](https://tex.z-dn.net/?f=%280.10%5C%20%2C%5C%200.18%29)
Answer:
-27-2x
Step-by-step explanation:
5-3x+x-32
(collect like terms)
5-32-3x+x
<h2><u><em>
-27-2x</em></u></h2>
The number of bins in the histogram determines the width of the bins and
the frequency (number of members) in a bin.
- Please find attached the graph of the histogram of Gretchen's data created with MS Excel.
<h3 /><h3>Method used to create the histogram of Gretchen's data</h3>
Given:
The table from Gretchen's data is presented as follows;
![\begin{tabular}{|c|c|} \underline{ Member}& \underline{Number of Days}\\x_1&2\\x_2&4\\x_3&7\\x_4&8\\x_5&12\\x_6&15\\x_7&10\\x_8&7\\x_9&9\\x_{10}&6\\x_{11}&13\\x_{12}&3\\x_{13}&8\\x_{14}&10\\x_{15}&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7D%20%5Cunderline%7B%20Member%7D%26%20%5Cunderline%7BNumber%20of%20Days%7D%5C%5Cx_1%262%5C%5Cx_2%264%5C%5Cx_3%267%5C%5Cx_4%268%5C%5Cx_5%2612%5C%5Cx_6%2615%5C%5Cx_7%2610%5C%5Cx_8%267%5C%5Cx_9%269%5C%5Cx_%7B10%7D%266%5C%5Cx_%7B11%7D%2613%5C%5Cx_%7B12%7D%263%5C%5Cx_%7B13%7D%268%5C%5Cx_%7B14%7D%2610%5C%5Cx_%7B15%7D%2610%5Cend%7Barray%7D%5Cright%5D)
The required number of bins = 8 bins
The steps to create the histogram using MS Excel;
- Enter the 15 dataset for the number of days as presented in the above table in a column on the worksheet.
- Select the dataset entered into the cells from above then select the Insert menu.
- In the Chart section of the insert menu click on the Histogram icon to view the quick options for histograms type charts.
- Select the Histogram option from the drop down menu from the quick options for histograms, to create an histogram chart.
- Right-click the histogram created from the previous step, then select Format Chart Area from the pop up menu.
- In the Format Chart Area task pane, click on the arrow next to Chart Options, then select Horizontal Axis from the options menu.
- Click on the histogram icon under Axis Options, then click on arrow button besides Axis Option sub menu, to display the axis options.
- Click on the Number of bins radio button then enter 8, to create an histogram having 8 bins.
The histogram of Gretchen's data having eight bins created with MS Excel is attached.
Learn more about creating a histogram chart here:
brainly.com/question/25069221
brainly.com/question/4601962
Answer:
2
−
9
x
Step-by-step explanation: