**Understanding Normal Distribution in a 10k Run****Example Problem: Analysis of 10k Run Finish Times**For a recent 10k run, the finishers are normally distributed with mean (μ) 63 minutes and standard deviation (σ) 14 minutes. Complete parts (a) through (d) below:1. **Percentage of Finishers with Times Between 45 and 75 Minutes** - **Use the standard normal distribution table:** - Click the link to view page 1 of the standard normal distribution table. - Click the link to view page 2 of the standard normal distribution table. - Determine the percentage of finishers who had times between 45 and 75 minutes. - **Calculation Step:** To find this percentage, calculate the z-scores for 45 minutes and 75 minutes, convert them using the standard normal distribution table, and then find the area under the curve between these z-scores. - **Result:** (Round to two decimal places as needed.)2. **Percentage of Finishers with Times Less Than 40 Minutes** - **Determine the percentage of finishers whose times were less than 40 minutes.** - **Calculation Step:** Calculate the z-score for 40 minutes, convert using the standard normal distribution table, and then find the area to the left of this z-score. - **Result:** (Round to two decimal places as needed.)3. **Percentage of Finishers with Times Between 30 and 35 Minutes** - **Determine the percentage of finishers with times between 30 and 35 minutes.** - **Calculation Step:** Calculate the z-scores for 30 and 33 minutes, convert using the standard normal distribution table, and find the area under the curve between these z-scores. - **Result:** (Round to two decimal places as needed.)4. **Percentage of Finishers with Times Greater Than 80 Minutes** - **Determine the percentage of finishers whose times were greater than 80 minutes.** - **Calculation Step:** Calculate the z-score for 80 minutes, convert using the standard normal distribution table, and then find the area to the right of this z-score. - **Result:** (Round to two decimal places as needed.)This practical example helps illustrate how normal distribution and z-scores are used to

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Answered: ur a For a recent 10k run, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Determine whether the graph shown could represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation. 4 ..... Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The graph could represent a variable with a normal distribution because the curve is symmetric and bell-shaped. Its mean is approximately and standard deviation is approximately (Round to one decimal place as needed.) O B. The graph could not represent a variable with a normal distribution because the curve crosses the x-axis. O C. The graph could not represent a variable with a normal distribution because the curve has two modes. O D. The graph could not represent a variable with a normal distribution because the graph is skewed to the right. O E. The graph could not represent a variable with a normal distribution because the graph is skewed to the left. O F. The…
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The amount of caffeine in a sample of five-ounce servings of brewed coffee is shown in the histogram. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. Click the icon to view the histogram. Complete the table. Round values to the nearest tenth as needed. Graph/chart f Midpoint x xf 70.5 Ay 30- 92.5 26 25- 114.5 136.5 20- 158.5 15- 12 Ef = Exf = 10- Find the mean of the data set. 5- X = (Round to the nearest tenth as needed.) 48.5 70.5 92.5 114.5 136.5 158.5 Complete the table. Round values to the nearest tenth as needed. Midpoint x (x-x)? (x-x)?f X-X 70.5 Print Done 92.5 114.5 136.5 158.5 (x-x)?r= ] of
Use a standard normal distribution table to find the percent of the total area under the standard normal curve between the following z-scores. z= - 1.3 and z = - 0.75 Click the icon to view the standard normal distribution table. The percent of the total area between z= - 1.3 and z = - 0.75 is %. (Round to the nearest integer.)
Use the standard normal distribution table to determine the percent of data between z= 1.06 and z= 1.53. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. O ..... The percent of data between z = 1.06 and z = 1.53 is (Round to two decimal places as needed.) %. %3D in ms Clear all Check answer Get more help- here to search
Find the range, the standard deviation, and the variance for the given samples. Round non-integer results to the nearest tenth. 74, 47, 85, 50, 62, 93, 56, 57, 75 range standard deviation variance
Determine whether the graph shown could represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represt a normal distribution, estimate the mean and standard deviation.
Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the given cumulative area. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. 0.05 Click to view page 1 of the table. Click to view page 2 of the table. The cumulative area corresponds to the z-score of (Round to three decimal places as needed.) Standard Normal Table (Page 1) Z 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00 -3.4 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 - 3.2 0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007 - 3.1 0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010 -3.0 | 0.0010 0.0010 0.0011 0.0011 0.0011 0.0012 0.0012 0.0013 0.0013 0.0013 -2.9 0.0014 0.0014 0.0015…
Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. P 25 Click to view page 1 of the table. Click to view page 2 of the table. The z-score that corresponds to P25 is (Round to two decimal places as needed.)
You are asked to find some descriptive statistics for the heartrate data. Use the methods in the practice activity as a guide to help you find the mean, median, and standard deviation for the heartrate data. Mean: 74.1 Median: 74 Standard Deviation: 6.5 Which measure of central tendency is the most appropriate for the heartrate data?

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