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In #13-16, use the following information. At the 0.01 level of significance, test the claim that...

In #13-16, use the following information. At the 0.01 level of significance, test the claim that µ ≤ 25.5 cm. Sample data consist of 25 observations, for which x = 27.3 cm and s = 3.7 cm.

13. Give the null hypothesis in symbolic form. (a) H0 : p = 27.3 (b) H0 :x = 27.3 (c) H0 :µ ≤ 25.5 (d) H0 :σ = 3.7 (e) H0 :µ = 27.3

14. Determine the appropriate test statistic. (a) z = 1.278 (b) z = 2.432 (c) t = 2.432 (d) t = 1.278 (e) χ 2 = 18 426 .

15. Find the appropriate critical value(s). (a) t = −2.797, t = 2.797 (b) t = −2.492, t = 2.492 (c) z = −2.326, z = 2.326 (d) t = 2.492 (e) z = 2.326

16. Make the appropriate decision. (a) Reject H0 (b) Fail to reject H0

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