Find the standard deviation, s, of sample data summarized in the frequency distribution table given below by using the formula below, where x represents the classmidpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviationobtained from the original list of data values, 9.0.E(r+x?)|-[E"•x)]²n(n- 1)Interval20-2627-3334-4041-4748-5455-61entsFrequency4194024Standard deviation =(Round to one decimal place as needed.).cesspeca LibraryOntions

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Answered: Find the standard deviation, s, of…

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 researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.515), which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
(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.…
From the data given below find the number of items (n): r= 0.5 , Σxy = 120 , σy = 8 , ΣΧ-90 Where x and y are deviations from arithmetic mean.
Resting Pulse: earlier this semester we determined our resting pulse. Seventy-nine individuals participated in this data collection. The mean heart rate for all individuals was 65.34 beats per minute. A random sample of 30 heart rates having a mean of 64.97 beats per minute is presented here. Build a frequency table of these data containing six (6) classes with the lower llimit of the second class at 54 beats per minute. Build a chart appropriate for the presentation of these data. Data: 49, 51, 53, 56, 57, 58, 60 , 60, 62, 62, 62, 64, 64 65, 65 , 65, 67, 68, 68, 68, 69, 70 , 70, 72, 72, 72, 72, 75, 75 , 78,
What is the mean squar error for the followin data set x y -2 4 -1 2 0 2 1 1 2 1
Q.: For the data given in the following frequency distribution table, compute if the nearest error in the data is 1: (a) mean deviation (b) Median (c) Mode (d) Range (e) Variance (f) Standard deviation Classes 150-1 168 - 186- 195 204-213- - 58 Frequency 5 20 20 15 3 1 159-1 67 15 177- 21
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 49.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. |(c) Compute an approximation for P(p 20.495), which is the probability that there will be 49.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
Let x₁ represent the sample mean cost (in thousands) to remodel a kitchen and x₂ represent the sample mean cost (in thousands) to remodel a master bedroom. A point estimate for the difference in these remodeling costs is desired, so x₁ - x₂ is needed. A sample mean is calculated as follows where x, is the sum of the given values and n is the sample size. X = n The sample of costs to remodel a kitchen, in thousands of dollars, are given. Kitchen 27.2 18.4 23.8 22.9 20.7 24.0 21.7 17.9
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.515, which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
Calculate the coefficient of skewness of the following frequency Distributions, given their corresponding means, medians, and standard deviations as follows and interpret the results: Mean (x ̅) = 75.30; Median (Md) = 76.70; and Standard Deviation (s)= 6.80

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