Answered: An independent knowledge, attitudes and…

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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Question

An independent knowledge, attitudes and practices survey on COFLU-20 was conducted in a large first-world country. The individual attitude scores were found to be normally distributed with the mean of 5 and a standard deviation of 1.3. For our current investigation of the 300 respondents, the mean score for attitude was found to be 5.6 with a standard deviation of 2.8

The researcher has asked you to use a 3% level of significance, to test whether the population mean score for attitude towards COFLU-20 is significantly different from 5. To conduct this test, you are required to:

Calculate the p-value for this test.
Using the p-value approach, state the conclusion of this test. State your reasoning for arriving at your conclusion.
The researcher recommended that the level of significance be changed to 5%. How would this affect the conclusion arrived at in the question above?

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 + ...

Expert Solution

Step 1

Given information-

Population mean, μ = 5

Population standard deviation, σ = 1.3

Sample size, n = 300

Sample mean, x-bar = 5.6

Sample standard deviation, s = 2.8

Significance level, α = 0.03

We have to test whether the population mean score for attitude towards COFLU-20 is significantly different from 5.

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