MAST20005: Practice Lab Test Solutions
1. Five-number summary: x = 6.1, qˆ = 7.4, mˆ = 10.3, qˆ = 11.6, x = 12.6 (1)1 3(n)
2. 90% CI for μ is (8.63, 10.42)
3. Wilcoxon signed-rank test. The p-value is 0.35–0.37 (depending on the method used). Do not
reject H0.
4. The 95% one-sided CI is (0.33, 1.00) if using prop.test() or (0.30, 1.00) if using binom.test().
5. Goodness-of-fit test. The test statistic is χ2 = 2.5, which follows χ2 under H0. The p-value is 0.29. Do not reject H0.
6. αˆ=67.1,βˆ=2.92,σˆ=244.3
7. 95% CI for β is (0.944, 4.89)
8. 90% PI: (217, 1084)
9. F-test using a one-way ANOVA. The p-value is 0.017. Do not reject H0.
10. F-test using a one-way ANOVA or a t-test comparing two groups. The p-value is either 0.006 (Welch t-test) or 0.00045 (F-test or t-test assuming equal variances). Reject H0.
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