Following are the caloric values of the fat content of meals served at three elementary school: School 1:127143142117140146141148School 2:127146138143142124130130School 3:147132132134157137144145 Given that x1 = 138, x2 = 135, x3 = 141, S = 111.43, S = 68.29, and S = 77.71, calculate n . S for these data, the mean of the variances of the three samples, and the value of F. Assuming that these data constitute random samples from three normal populations with the same standard deviation, test at the 0.05 level of significance whether the differences among the three sample means can be attributed to chance. 9. Following are the caloric values of the fat content of meals served at three elementaryschool:School 1:127143142117140142157146141148130School 2:School 3:127146138143134124130147132132137144145(a) Given that x, = 138, x, = 135, x, = 141, s- 111.43, s- 68.29, and s- 77.71,calculate n · s for these data, the mean of the variances of the three samples, and thevalue of F.(b) Assuming that these data constitute random samples from three normal populations with thesame standard deviation, test at the 0.05 level of significance whether the differencesamong the three sample means can be attributed to chance.

Given: The data is shown below School 1 School 2 School 3 127 127 147 143 146 132 142 138…

Answered: Following are the caloric values 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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Following are the caloric values of the fat content of meals served at three elementary school:

School 1:	127	143	142	117	140	146	141	148
School 2:	127	146	138	143	142	124	130	130
School 3:	147	132	132	134	157	137	144	145

Given that x₁ = 138, x₂ = 135, x₃= 141, S = 111.43, S = 68.29, and S = 77.71, calculate n ^. S for these data, the mean of the variances of the three samples, and the value of F.

Assuming that these data constitute random samples from three normal populations with the same standard deviation, test at the 0.05 level of significance whether the differences among the three sample means can be attributed to chance.

9. Following are the caloric values of the fat content of meals served at three elementary
school:
School 1:
127
143
142
117
140
142
157
146
141
148
130
School 2:
School 3:
127
146
138
143
134
124
130
147
132
132
137
144
145
(a) Given that x, = 138, x, = 135, x, = 141, s- 111.43, s- 68.29, and s- 77.71,
calculate n · s for these data, the mean of the variances of the three samples, and the
value of F.
(b) Assuming that these data constitute random samples from three normal populations with the
same standard deviation, test at the 0.05 level of significance whether the differences
among the three sample means can be attributed to chance.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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