In #29-32, use the following information. Use a 0.025 level ofsignificance to test the claim that vehicle speeds at a certainlocation have a mean above 55 km/h . A random sample of 50 vehiclesproduces a mean of 61 3. km/h and standard deviation of 3 3. km/h.
29. Give the null hypothesis in symbolic form. (a) H0 :µ > 55(b) H0 :µ ≥ 55 (c) H0 :µ ≤ 55 (d) H0 :µ < 55 (e) H0 :µ = 55
30. Determine the appropriate test statistic. (a) z = 12.1 (b) z= 13.5 (c) p = 10.2 (d) p = 4.28 (e) z = 8.31
31. Find the appropriate critical value(s). (a) z = −1.96 (b) z= 1.96 (c) z = −1.96, z = 1.96 (d) z = −2.24, z = 2.24 (e) t =−1.96
32. Make the appropriate decision. (a) Reject H0 (b) Fail toreject H