**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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The sample mean amount of savings is $
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The average American man consumes 9.7 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N Note: this shows 2 blank spots for answers
Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... Question content area bottom Part 1 (a) Approximately 1.181.18% of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Part 2 (b) You would expect that approximately 0.880.88 SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)
Please help with D E F Please Help with D E F
instructor gives a 100-point examination in which the grades are normally distributed. The mean is 66 and the standard deviation is 5. If there are 5% A's and 5% F's, 15% B's and 15% D's, and 60% C's, find the scores that divide the distribution into those categories. Round the cutoff scores to the nearest whole number. Round intermediate z-value calculations to 2 decimal places. A:_- B: C: D: --- F: _-_
3. Use the following frequency distribution table to answer the questions below: The table below shows the marks of students in an examination: Where: X= midpoint of the class (add lower and upper class boundary and divide by 2) FX- frequency multiplied by midpoint. N = total frequency XFX= the sum of all EX
Jse the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 64 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and 72 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 56 miles per hour and 72 miles per hour.
Q3 Please answer it and explain
Find the mean and standard deviation for the individualized instruction scores. Scores Individualized Instruction 50 - 59 4 60 – 69 8 70 - 79 6 80 - 89 8 90 - 99 3 Mean = (Round to the nearest hundredth.)
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?

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