Shell diameter were measured for a species of diatom from th

Shell diameter were measured for a species of diatom from three different ponds. The data appear below. Test to see if their are differenes in mean diatom diameters among the three ponds at the 5% level of significance. Please dont use excel, show work

Solution

Null hypothesis: they are not differenes in mean diatom diameters among the three ponds (i.e. null hypothesis)

Alternative hypothesis: they are differenes in mean diatom diameters among the three ponds (i.e. alternative hypothesis)

The test statistic is

F=9

The p-value of F test is 0.0156 (from F table)

Since the p-value is less than 0.05, we reject Ho.

So we can conclude that they are differenes in mean diatom diameters among the three ponds