5. To compare whether the average lifespan of cell phone batteries of three different brands is the same, randomly test 5 batteries of each brand of cell phone batteries and record their life.

The average life spans of the three groups of samples are 3.0, 4.5, and 3.6, and the standard deviations of life spans are 1.5, 1.0, and 15.0, respectively. At the significance level α=0.05, please use one-way ANOVA to check whether the average battery life of these three brands of mobile phones is consistent, that is, check:

The null hypothesis H0: μ1 = μ2 = μ3, the opposite hypothesis H1: μ1, μ2, and μ3 are not completely equal.

Among them, μ1, μ2 and μ3 are the average lifespans of these three brands of mobile phone batteries. (5 points)