Objects such as asteroids and comets that come into proximity with the Earth are called near-Earth objects (NEOS). The National Aeronautics and Space Administration (NASA) tracks and catalogues all NEOS that are at least 1 kilometer wide. Data on NEOS can be found on the NASA website. The accompanying table givesthe relative velocities in kilometers per second (km/s), arranged in increasing order, for some of the NEO close approaches to the Earth during June 2013. The sample mean and sample standard deviation of these velocities are 11.5 km/s and 6.0 km/s, respectively. Complete parts (a) through (c) below.E Click the icon to view the data table,Data tablea. Compare the percentage of the observations that actually lie within two standard deviations to either side of the mean with that given by Chebyshev's rule with k = 2.The percentage of observations that actually lie within two standard deviations to either side of the mean is%.455(Type an integer or decimal rounded to one decimal place as needed.)888999.991011111213Chebyshev's rule states that when k= 2, at least % of the observations in any data set lies within two standard deviations to either side of the mean.13141417171920(Round to the nearest integer as needed.)202130b. Repeat part (a) with k = 3.The percentage of observations that actually lie within three standard deviations to either side of the mean is%.(Type an integer or decimal rounded to one decimal place as needed.)PrintDoneChebyshev's rule states that when k = 3, at least % of the observations in any data set lies within three standard deviations to either side of the mean.(Round to the nearest integer as needed.)c. Interpret your results from parts (a) and (b).O A. Chebyshev's rule gives a minimum for the percentage of observations that lie within a specified number of standard deviations to either side of the mean; the actual percentage will usually be the same.O B. Chebyshev's rule gives only an average for the percentage of observations that lie within a specified number of standard deviations to either side of the mean; the actual percentage will usually be higher.O C. Chebyshev's rule gives only a maximum for the percentage of observations that lie within a specified number of standard deviations to either side of the mean; the actual percentage will usually be lower.O D. Chebyshev's rule gives only a minimum for the percentage of observations that lie within a specified number of standard deviations to either side of the mean; the actual percentage will usually be higher.

here given total number of observation = 31 as per chebyshev's rule data falls within k standard…

Answered: a. Compare the percentage of 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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(a) The population 3, 4, 9, 14, and 20 has a mean of 10 and a standard deviation of 6.356. The z-scores for each of the five data values are z3 ≈ −1.101, z4 ≈ −0.944, z9 ≈ −0.157, z14 ≈ 0.629, and z20 ≈ 1.573. Find the mean and the standard deviation of these z-scores. mean standard deviation (b) The population 2, 6, 12, 17, 22, and 25 has a mean of 14 and a standard deviation of 8.226. The z-scores for each of the six data values are z2 ≈ −1.459, z6 ≈ −0.973, z12 ≈ −0.243, z17 ≈ 0.365, z22 ≈ 0.973, and z25 ≈ 1.337. Find the mean and the standard deviation of these z-scores. mean standard deviation (c) Use the results of part (a) and part (b) to make a conjecture about the mean and standard deviation of the z-scores for any set of data. The mean of the z-scores is always 1, and their standard deviation is 0. The mean of the z-scores is always 1 more than the standard deviation. The mean and standard deviation of z-scores are never the same.…
The regression line for a set of data will have little meaning unless: Select one: a. the correlation coefficient is significant. b. the slope of the regression line is zero. c. the standard deviation of errors is zero. d. there are at least 30 data points chosen.
A team of ten (10) construction workers who are working on a project are classified according to the skill levels, Classes A to D. The table below shows the number of workers in each of the four (4) classes and their respective hourly pay-rate. Pay-rate (Rands/hour) Number of workers Class A 80 Class B 60 Class C 55 Class D 50 4. Calculate the mean hourly pay-rate for the 10 workers. A. R24.50/hour B. R57/hour C. R57.50/hour D. R61.75/hour
1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (f) Suppose the relative frequency distribution for the data is bell-shaped, then what is the 97.5th percentile of the distribution? 400 325 350 425
A medical doctor is interested in determining whether mean body temperatures are different in the morning and at night. Five patients were recruited and their body temperatures were measured first at 8 AM and then again at 10 PM. The data is in the following table: Patient 1 2 4 Morning Night 98.0 97.6 97.2 97.0 98.0 97.0 98.8 97.6 97.7 98.8 For this matched pairs experiment, you should take the differences by calculating: Morning - Night. Also, you may use the fact that the sample standard deviation of 44/V5 the differences is 0.844 and that 0.844 0.3774. What is the test statistic for the test? Round your final answer to two decimals. Next Page Page 5 of 15 126 53 1. NOV 18
Which of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x =74.0 beats per minute, and their standard deviation iss = 13.2 beats per minute. a. What is the difference between the pulse rate of 33 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 33 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 33 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The lowest pulse rate is
7.
Suppose the scores on an exam have a mean of 70 with a standard deviation of 10. If one student hasa test result with a z-score of -0.8 and a second student has a test result with a Z-score of 1.8, how many points higher was the second student's score than that of the first? O a. 10 O b. 20 O c. 2.6 O d. 13 O e. 26
I. Find: Solve the following ungrouped data. x-x (x-x)² 3 7 10 11 17 19 21 23 25 a. Mean b. Variance c. Standard Deviation d. Measure of Position D4 P45 Q3 D9 P85
III
5. A. Draw a bell-shaped curve and label the axis with the 7 values including the mean of 500 in the center and the other 6 values of 1. 2, and 3 standard deviations away from the mean B. Approximately what percentage of data values fall below 500? C. Approximately what percentage of data values fall between 400 and 600 ? D. Approximately what percentage of data values fall between 300 and 700? E. Approximately what percentage of data values fall between 200 and 800? F. Approximately what percentage of data values fall above 600? G. Approximately what percentage of data values fall below 200? H. Approximately what percentage of data values fall between 400 and 700 ?

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