The weights (in pounds) of 30 participants are recorded before and after a 6 week exercise program. The mean is -3.17 and the standard deviation is 3.83. BeforeAfter210207174176150148124130222220287280175168173170264255247250Before and After WeightsBeforeAfter185184134135157155245242255247148150170165215210309300234230BeforeAfter245240287276200201186184310308167165190185220215275270225222(a) The goal is to find the 90% confidence interval for the difference in weight. Find the t-critical value. (Round your answer to the nearest thousandth)(b)Find the error, E, for the 90% confidence interval. (Round your answer to the nearest hundredth)(c)Find the 90% confidence interval for the difference in weights. (Round all answers to the nearest hundredth) (i.e. _____<d<_______)

From the provided information, Sample size (n) = 30 Sample mean (x̅) = -3.17 Sample standard…

Answered: The weights (in pounds) of 30…

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 weights (in pounds) of 30 participants are recorded before and after a 6 week exercise program. The mean is -3.17 and the standard deviation is 3.83.

Before	After
210	207
174	176
150	148
124	130
222	220
287	280
175	168
173	170
264	255
247	250

Before and After Weights

Before	After
185	184
134	135
157	155
245	242
255	247
148	150
170	165
215	210
309	300
234	230

Before	After
245	240
287	276
200	201
186	184
310	308
167	165
190	185
220	215
275	270
225	222

(a) The goal is to find the 90% confidence interval for the difference in weight. Find the t-critical value. (Round your answer to the nearest thousandth)

(b)Find the error, E, for the 90% confidence interval. (Round your answer to the nearest hundredth)

(c)Find the 90% confidence interval for the difference in weights. (Round all answers to the nearest hundredth) (i.e. _____<d<_______)

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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