Scientists studied the chemical makeup of buried tills (glacial drifts) in order

Question

Scientists studied the chemical makeup of buried tills (glacial drifts) in order to estimate the age of the glacial drifts. The ratio of the elements aluminum (Al) and beryllium (Be) in sediment is related to the duration of burial. The till specimens were obtained from five different boreholes (labeled UMRB-1, UMRB- 2, UMRB-3, SWRA, and SD). The Al/Be ratios for a sample of 26 buried till specimens were determined and are shown in the accompanying table. Conduct an analysis of variance of the data. Is there sufficient evidence to indicate differences among the mean Al/Be ratios for the five boreholes? Test, using = 0.01.

Use technology to determine the test statistic.

Use technology to determine the p-value.

Using the p-value approach, if the observed level of significance (p-value) of the test is less than the given level of significance ,

reject H0. Otherwise, do not reject .

UMRB-1 UMRB-2 UMRB-3 SWRA SD 3.75 3.32 4.01 2.75 6.31 4.05 4.09 4.56 2.95 2.55 3.81 3.9 3.6 2.25 3.06 3.23 5.06 3.27 3.13 3.85 4.09 3.3 3.88 3.38 3.21 3.37

Explanation / Answer

The statistical software output for this problem is:

ANOVA table

Hence,

Test statistic = 1.847

p - Value = 0.1575

Do not reject Ho.

Source DF SS MS F-Stat P-value Columns 4 4.3588742 1.0897185 1.8473214 0.1575 Error 21 12.387714 0.58989116 Total 25 16.746588

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