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. show work please

Pond1 pond2 pond3

.3 .4 .6

.2 .2 .7

.4 .5

.3

Solution

Null hypothesis: their are not differenes in mean diatom diameters among the three ponds

Alternative hypothesis: their are differenes in mean diatom diameters among the three ponds

The test statistic is

F=7.05

The p-value of F test is 0.0266 (from F table)

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

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