In a study designed to investigate the effects of a strong magnetic field on the early development of mice (7), 10 cages, each containing three 30-day-old albino female mice, were subjected for a period of 12 days to a magnetic field having an average strength of 80 Oe/cm. Thirty other mice, housed in 10 similar cages, were not put in the magnetic field and served as controls. Listed in the table are the weight gains, in grams, for each of the 20 sets of mice.

Test whether the variances of the two sets of weight gains are significantly different. Let α = 0.05. For the mice in the magnetic field, sX = 5.67; for the other mice, sY = 3.18.

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In Magnetic Field Not in Magnetic Field 9 Cage Weight Gain (g) Cage Weight Gain (g) 22.8 10.2 20.8 27.0 19.2 9.0 14.2 19.8 14.5 14.8 12 13 14 15 16 17 18 19 23.5 31.0 19.5 26.2 26.5 25.2 23.8 27.8 22.0 10