Answered: Suppose we are interested investigating…

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

Suppose we are interested investigating the mean \muμ for some population. We want to test the hypotheses

H0:μ=5.5

Ha:μ=5.5

a)What type of test would be appropriate here and why?

b)We take a sample of size n = 25, and find a sample mean of 6.3, with an sd of 1.8.Which of the following choices do we still need to know in order to apply the test from the previous part?

Choice 1:We have a random sample.

Choice 2:The distribution of the quantitative variable is approximately normal in the population.

Choice 3:The distribution of the quantitative variable is approximately normal in our sample.

Choice 4:Our sample size is at least 30.

c)Find the test statistic for our hypothesis test.

d)The P-value is______

e)At the α=0.05 significance level, what conclusions can we make and why?

Choice 1:Reject the null hypothesis.

Choice 2:Fail to reject the null hypothesis.

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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for d how can you calculate the p value without excel? need to be able to do on a test without excel or statkey. It is also saying the answer is incorrect. P does not equal 0.036

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