4. A farmer is trying out a planting technique that he hopes will increase the yield on his pea plants. The average number of pods on one of his pea plants is 145 pods with a standard deviation of 100 pods. This year, after trying his new planting technique, he takes a random sample of his plants and finds the average number of pods to be 147 . He wonders whether this is a statistically significant increase. What are his hypotheses, the test statistic, and if we reject the HO or not? You need to use the Q3 sheet in the Excel file, to clearly, and concisely, explain your decision-making process. Note that n=144. (20 Points) * \[ \begin{array}{l} H 0: m u=145, z_{\text {_test }}=0.24, \text { fail to reject } \\ H 0: m u>=145, H 1: m u145, z_{\text {_test }}=0.24, \text { reject } \\ H 0: m u=145, z_{\text {_test }}=-0.24 \text {, fail to reject } \end{array} \] \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{6}{|c|}{1 Payment } \\ \hline 2 & payment id & customer id & staff id & rental id & amount \\ \hline 3 & 1 & 101 & 1. & 5 & 1.99 \\ \hline 4 & 2 & 105 & 1. & 5 & 1.99 \\ \hline 5 & 3 & 101 & 2 & 6 & 2.99 \\ \hline 6 & 4 & 103 & 2 & 4 & 3.99 \\ \hline 7 & 5 & 102 & 1 & 1 & 5.99 \\ \hline 8 & 6 & 104 & 2 & 9 & 4.99 \\ \hline 9 & & & & & \\ \hline \multicolumn{6}{|c|}{10 Customer } \\ \hline 11 & customer id & store_id & first_name & last name & \\ \hline 12 & 101 & 1 & Mo & Ashtari & \\ \hline 13 & 102 & 2 & James & Dean & \\ \hline 1. & 103 & 4 & Brad & Pitt & \\ \hline 1 & 104 & 1 & Penelope & cruz & \\ \hline 1 & 105 & 1 & Julia & Roberts & \\ \hline & 106 & 2 & Sean & Connery & \\ \hline \end{tabular}