Question

In: Statistics and Probability

Suppose the data shown here are the results of a survey to investigate gas prices. Ten...

Suppose the data shown here are the results of a survey to investigate gas prices. Ten service stations were randomly selected in each city and the figures represent the prices of a litre of unleaded regular gas. What can we tell about the relative price of gas in the two cities?

City 1:

1.029
1.02
1.017
1.002
0.996
1.017
1.014
1.014
1.014
0.983

City 2:

0.999
1.026
1.017
1.008
0.99
1.038
1.017
1.032
1.011
1.014

Design a test to determine if there is a difference in mean gas prices in the two cities use alpha = .01

Solutions

Expert Solution

By simply looking at the prices nothing can be inferred so we test for difference of means.
To test for the difference of means we need to first calculate the sample mean and variance of the two samples provided.

Mean and standard deviation for city 2:

Therefore the mean prices of gas of the two cities are not different.


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