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Solutions to exercise 4 of ma 220, where students are required to perform hypothesis testing and find confidence intervals for variances using given data from two normal populations. Problems related to testing if the variances are equal or not, and calculating p-values and confidence intervals.
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Sample size Sample variance
16 55. 20 31.
(a) Do the data provide sufficient evidence to indicate that σ^21 differs from σ^22? Test using α =. 05
(b) Find the approximate p-value for the test and interpret its value.
(c) Find a 95% confidence interval for
σ^21 σ^22
Engineering Language/Literature
x¯ = 994 x¯ = 1051
s = 71 s = 69 n = 16 n = 15
assume that the two population variances are equal. (a)Test this assumption using the F test for equality of variances with α = .05. (b)What is the approximate p-value for the test? (c) Find a 95% confidence interval for σ 12 /σ^22
Sample size Sample variance
13 18. 13 7.
(a) Do the data provide sufficient evidence to indicate that σ^21 > σ 22? Test using α =. 05
(b) Find the approximate p-value for the test and interpret its value.
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