The average download times for movies downloaded from Amazon and iTunes are roughly the same, but there are indications that the variability in downloads times is different. In an experiment, you download the same HD movie five times from Amazon and five times from iTunes. Download times, in minutes, for the two samples are given below:

a. Test the null hypothesis that the two populations represented here have equal variances. Assume that both population distributions are normal. Use a significance level of 10%. 

b. Can you make the case from this sample data that the variance of Amazon download times for the movie is greater than the variance of iTunes download times for the movie? That is, can we reject a null hypothesis that the variance of Amazon’s download times is no greater than the variance of iTunes download times? Use a significance level of 5%.

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Amazon 68 149 130 64 164 Tunes 100 94 2 143 126