Answered: Suppose the data shown here are the…

Name: Suppose the data shown here are the results of a survey to investigate
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Description: Suppose the data shown here are the results of a survey to investigate gas prices. Ten service stations were selected randomly in each of two cities and the figures represent the prices of a litre of unleaded regular gas on a given day. Use the F tes

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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Suppose the data shown here are the results of a survey to investigate gas prices. Ten service stations were selected randomly in each of two cities and the figures represent the prices of a litre of unleaded regular gas on a given day. Use the F test to determine whether there is a significant difference in the variances of the prices of unleaded regular gas between these two cities. Let α = 0.01. Assume gas prices are normally distributed.

Observed F = ? enter an appropriate value rounded to 4 decimal places
The decision is to ? (reject the null hypothesisfail to reject the null hypothesis)

City 1
1.028
1.295
1.013
1.326
1.322
1.013
1.322
1.013
1.278
1.303
City 2
1.299
1.287
1.032
1.334
1.349
1.314
1.012 1.012 1.318
1.310

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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