Determine the test statistic (Z* or t*) and the p-value for each of the each of the following situations and determine if they would cause the rejection of the null hypothesis if the confidence level was set at 95% in each case. (Hint: be wary of the sample size):
a) Ho: μ ≥ 33.8 g, Ha: μ < 33.8 g, sample mean = 30.9, sample standard deviation = 9, n = 36.
b) Ho: μ ≤ 145 km/h, Ha: μ > 145 km/h, sample mean = 159.5, s = 34, n = 42.
c) Ho: μ = 2.48 m, Ha: μ ≠ 2.48 m, sample mean = 2.99, s = 0.85, n = 16.
d) Ho: μ ≥ 68.0 minutes, Ha: μ < 68.0 minutes, sample mean = 67.3, s = 3.7, n = 26.
e) Ho: μ = 22.7 °C, Ha: μ ≠ 22.7 °C, sample mean = 23.1 °C, s = 1.24 °C, n = 32.