State hypothesis

Define test, one or two sided?

Test assumptions (equal variance, normality)

State test statistic (t, F, Chi-square)

State critical value (1 or 2 sided, degrees of freedom)

State conclusions.

A company producing stents measures the torque for stents using 5 different stent designs (shapes and thicknesses). For each design 5 samples are taken, see table below. Test the hypothesis that the designs cause differences in torque.

	Design 1	Design 2	Design 3	Design 4	Design 5
Sample 1	29.39	30.63	27.16	31.03	29.67
Sample 2	31.51	32.10	26.63	30.98	29.32
Sample 3	30.88	30.11	25.31	28.95	26.87
Sample 4	27.63	29.63	27.66	31.45	31.59
Sample 5	28.85	29.68	27.10	29.70	29.41
Means	29.65	30.43	26.77	30.42	29.37

I'm having trouble with this problem. I'm pretty sure its an f test but I have no idea how to solve it.