Answered: 3w. Need help with parts a-e For this…

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

3w. Need help with parts a-e

For this series of questions, you will calculate confidence intervals and perform a one-sample t-test for the following data set:

17 , 15 , 16 , 16 , 15 , 13 , 17 , 19

a.What is the lower bound of the 95% confidence interval.

b.What is the lower bound of the 99% confidence interval.

c.What is the critical t value for a one-sample two-tailed t-test for a significant difference?

d.What is the absolute value of the calculated t value for a one-sample two-tailed t-test?

e.What is the appropriate conclusion if the hypothesized population mean is 14?(photo attached)

The population mean appears to be significantly larger than 14 (p>0.05)
The population mean appears to be significantly larger than 14 (0.04<p<0.05)
The population mean appears to be significantly larger than 14 (0.02<p<0.04)
The population mean appears to be significantly larger than 14 (0.01<p<0.02)
The population mean appears to be significantly larger than 14 (0.001<p<0.01)
The population mean appears to be significantly larger than 14 (p<0.001)
The population mean does not appear to be significantly different from 14 (p>0.05)
The population mean does not appear to be significantly different from 14 (0.04<p<0.05)
The population mean does not appear to be significantly different from 14 (0.02<p<0.04)
The population mean does not appear to be significantly different from 14 (0.01<p<0.02)
The population mean does not appear to be significantly different from 14 (0.001<p<0.01)
The population mean does not appear to be significantly different from 14 (p<0.001)

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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