15 has 1,3,5,15
18 has 1,2,3,6,9,18
12 has 1,2,3,4,6,12
Drag the expressions into the boxes to correctly complete the table.
"The graph shows the distribution of time (in hours) that teenagers spend playing video games per week. ", The statement that best describes the distribution is "The distribution is approximately Normal, with a mean of 14 hours and a standard deviation of 4" Option B.
This is further explained below.
<h3>What is Normal
distribution?</h3>
Generally, Data closer to the mean tends to occur more often than data further from the mean, as shown by the normal distribution, also known as the Gaussian distribution. The normal distribution may be represented graphically as a "bell curve."
In conclusion, "the graph illustrates the distribution of the amount of time, in hours, that teens spend playing video games over the course of a week," The statement "The distribution is nearly normal, with a mean of 14 hours and a standard deviation of 4" is the one that gives the most accurate account of how the data was distributed.
Read more about Normal distribution
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Answer:
The sample size required is 102.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:
The margin of error for this interval is:
Given:
<em>σ</em> = 9.2
(1 - <em>α</em>)% = 90%
MOE = 1.5
The critical value of <em>z</em> for 90% confidence level is:
*Use a <em>z</em>-table.
Compute the value of <em>n</em> as follows:
![n=[\frac{z_{\alpha/2}\times \sigma}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csigma%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.645\times 9.2}{1.5}]^{2}\\=101.795\\\approx102](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.645%5Ctimes%209.2%7D%7B1.5%7D%5D%5E%7B2%7D%5C%5C%3D101.795%5C%5C%5Capprox102)
Thus, the sample size required is 102.
