To determine the organic material in a dried lake bed, the percent carbon by mas

Question

To determine the organic material in a dried lake bed, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different. For each location, calculate the standard deviation and report it Location 1 (% C) 3040 30.30 30130 30 40 Location 2 (96, C) 30 10 30.90 30 30 30.80 30.30 with two significant figures Location1 Location 2 Number Number -130.20 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? O yes Scroll down Next Rehiout @! ups Miew StionCheck Answer Hint contact about/u

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

Two sample variance hypothesis test:
12 : Variance of Location 1
22 : Variance of Location 2
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 1

Hypothesis test results:

Hence,

Location 1 number = 0.08

Location 2 number = 0.35

Calculated F = 0.06

Yes

Column Std. dev. Location 1 0.083666003 Location 2 0.34928498

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