The salinity of water samples from 4 separate sites in the Bimini Lagoon, Bahama

Question

The salinity of water samples from 4 separate sites in the Bimini Lagoon, Bahamas, was measured; the data are given below. (You can use statistical software, or better, calculate by hand or with a spreadsheet and check with software. Copying and pasting will avoid data entry errors.)

Site 1: 42.78 32.08 41.57 38.56 40.34 45.89 36.37 40.35 46.01 28.66 35.80 40.97
Site 2: 39.28 37.53 31.55 37.27 29.61 42.11 24.22 30.58
Site 3: 44.20 32.90 42.92 39.74 41.63 47.48 37.42 41.63 47.61 29.28
Site 4: 44.67 38.02 42.60 41.01 41.21 47.83 28.58 38.59 31.48 38.11 46.66 49.32

The salinity of water samples from 4 separate sites in the Bimini Lagoon, Bahamas, was measured; the data are given below. (You can use statistical software, or better, calculate by hand or with a spreadsheet and check with software. Copying and pasting will avoid data entry errors.) Site 1: 42.78 32.08 41.57 38.56 40.34 45.89 36.37 40.35 46.01 28.66 35.80 40.97 Site 2: 39.28 37.53 31.55 37.27 29.61 42.11 24.22 30.58 Site 3: 44.20 32.90 42.92 39.74 41.63 47.48 37.42 41.63 47.61 29.28 Site 4: 44.67 38.02 42.60 41.01 41.21 47.83 28.58 38.59 31.48 38.11 46.66 49.32 Which null hypothesis, Ho, will be used to test whether the mean salinity is the same at all four sites? Incorrect 1+p2+p3+p4-0 Incorrect Hi .2 .H3 .4-0 Incorrect 1 2 Correct : 1=2=3=4 1 pt(s)] You are correct. Your receipt no. is 156-4161 What is the alternative hypothesis, HA? Correct: At least one is not equal to the rest. Incorrect 1+p2+p3+ 4 * 0 Incorrect 1-p-H3-4 [1 pt(s)] 0 You are correct. Your receipt no. is 156-1021 Calculate the test statistic. [2 pt(s)] Submit Answer Tries 0/3 Which interval in the table contains the p-value for the test? (Verify your answer by calculting the p-value with statistical software and using the appropriate table on the course site. You might have to improvise a little with the tables if your exact degrees of freedom aren't listed.) p-value 0.001 0.001 p-value 0.01 0.01

Explanation / Answer

The ANOVA summary output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

Test statistic = 2.4889

0.05 < p - value < 0.1

No, do not reject Ho

Column n Mean Std. Dev. Std. Error Site 1 12 39.115 5.1961376 1.4999957 Site 2 8 34.01875 5.9692173 2.110437 Site 3 10 40.481 5.916845 1.8710707 Site 4 12 40.673333 6.256828 1.8061907

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