Answer the two following questions regarding mean scores. Online courses: A sample of 261 students who were taking online courses were asked to describe their overall impression ofonline learning on a scale of 1–7, with 7 representing the most favorable impression. The average score was 5.45, and thestandard deviation was 0.90.(a) Construct a 99.5% confidence interval for the mean score.(b) Assume that the mean score for students taking traditional courses is 5.53. A college that offers online courses claims that themean scores for online courses and traditional courses are the same: Does the confidence interval contradict this claim? Explain.Part: 0/ 2Part 1 of 2(a) A 99.5% confidence interval for the mean score is(Round the answers to at least two decimal places.) Part 2 of 2(b) The confidence interval (Choose one)contradict this belief.doesdoes not

It is given that sample mean is 5.45 and the standard deviation is 0.90.

Answered: Online courses: A sample of 261…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Answer the two following questions regarding mean scores.

Online courses: A sample of 261 students who were taking online courses were asked to describe their overall impression of
online learning on a scale of 1–7, with 7 representing the most favorable impression. The average score was 5.45, and the
standard deviation was 0.90.
(a) Construct a 99.5% confidence interval for the mean score.
(b) Assume that the mean score for students taking traditional courses is 5.53. A college that offers online courses claims that the
mean scores for online courses and traditional courses are the same: Does the confidence interval contradict this claim? Explain.
Part: 0/ 2
Part 1 of 2
(a) A 99.5% confidence interval for the mean score is
(Round the answers to at least two decimal places.)

Part 2 of 2
(b) The confidence interval (Choose one)
contradict this belief.
does
does not

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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