A triangular prism is shown below.
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From the question, we know the population standard deviation, σ = 1.63, the sample standard deviation, s = 3.07, the sample mean, 
and the sample size, n = 38.
The question illustrates a hypothesis chi-square test of variance.
The test statistics for a Chi-squared test of variance is given by
The question illustrates a hypothesis chi-square test of variance.
The test statistics for a Chi-squared test of variance is given by