Question

To determine the organic material in a dried lake bed, you have determined the percent carbon by mass at two different locations. In order to compare the means of the two different locations, you need to determine whether the standard deviations of the two locations are different first. Location 1 Location 2 (90 C) 60.40 60.20 60.30 60.40 60.30 For each data set, calculate the standard deviation. (90 C) 60.10 60.80 60.20 60.80 60.40 Location 1 Location 2 2 3 4 Number Number What is the calculated F-value for comparing the standard deviations? Number Are the two standard deviations for the locations significantly different at the 95% confidence level? Oyes no

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Answer #1

From the given data

Descriptive Statistics: Location 1, Location 2 Total Variable Count Mean StDev Variance Location 1 Location 2 5 60.320 0.0837 0.0070 5 60.460 0.329 0.108

Test Statistic F = 0.0837^2 / 0.329^2 = 0.064723

Test Statistic, F: 0.0648
Lower Critical F: 0.1041176
Upper Critical F: 9.60452
P-Value: 0.0213

Here P-value < alpha 0.05 so we reject H0

Correct answer: YES

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