A company collects data from 10,000 websites about how long it takes to load the site. The number of seconds it takes to fully load the website is summarized in the relative frequency table. seconds to loadrelative frequency1.4–1.60.00031.6–1.80.00121.8–2.00.00532.0–2.20.01812.2–2.40.04422.4–2.60.09102.6–2.80.15552.8–3.00.18613.0–3.20.19383.2–3.40.14473.4–3.60.09233.6–3.80.04473.8–4.00.01664.0–4.20.00484.2–4.40.00124.4–4.60.0002The relative frequency histogram summarizes the same data. Expand ImageThe mean time to load a website is 3 seconds and the standard deviation is 0.4 seconds.Would a normal distribution be a good model for this distribution? Explain your reasoning.What proportion of websites loaded within 1 standard deviation of the mean?What proportion of websites loaded within 2 standard deviations of the mean?What proportion of websites loaded within 1 standard deviation of 2.8 seconds?Compare the proportion of websites within 1 standard deviation of the mean to the proportion of stories in the submissions that are within 1 standard deviation of the mean number of words from the previous task. Do the same for the proportion within 2 standard deviations.

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Description: A company collects data from 10,000 websites about how long it takes to load the site. The number of seconds it takes to fully load the website is summarized in the relative frequency table. seconds to loadrelative frequency1.4–1.60.00031.6–1.80.0012

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A company collects data from 10,000 websites about how long it takes to load the site. The number of seconds it takes to fully load the website is summarized in the relative frequency table.

seconds to load	relative frequency
1.4–1.6	0.0003
1.6–1.8	0.0012
1.8–2.0	0.0053
2.0–2.2	0.0181
2.2–2.4	0.0442
2.4–2.6	0.0910
2.6–2.8	0.1555
2.8–3.0	0.1861
3.0–3.2	0.1938
3.2–3.4	0.1447
3.4–3.6	0.0923
3.6–3.8	0.0447
3.8–4.0	0.0166
4.0–4.2	0.0048
4.2–4.4	0.0012
4.4–4.6	0.0002

The relative frequency histogram summarizes the same data.

Expand Image

The mean time to load a website is 3 seconds and the standard deviation is 0.4 seconds.

Would a normal distribution be a good model for this distribution? Explain your reasoning.
What proportion of websites loaded within 1 standard deviation of the mean?
What proportion of websites loaded within 2 standard deviations of the mean?
What proportion of websites loaded within 1 standard deviation of 2.8 seconds?
Compare the proportion of websites within 1 standard deviation of the mean to the proportion of stories in the submissions that are within 1 standard deviation of the mean number of words from the previous task. Do the same for the proportion within 2 standard deviations.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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