Question 3(45 pts.) A production line in a factory is set to fill bottles with 0.75 Lt of laban, not more, not less. An auditing company makes a test on this production line albeit with an unfortunate Type I error. Assume that sample size was 49, sample average was 0.72, standard deviation of the entire bottles produced is 0.05 Lt and a was chosen as 0.02. i) Formulate the null and alternative hypothesis ii) Calculate the test score iii) Calculate the P-value iv) Arrive to a conclusion for the above given a. v) Manager of the production line has total confidence in the accuracy and efficiency of his production line. Therefore, he is sure that the auditors have made an error, namely a Type | error. If you were the line manager, which of the followings would you be more inclined to suggest to the auditors in order to avoid a Type I error happening? Yes No increasing a and sample size decreasing a or increasing the sample size decreasing the sample size and a decreasing a increasing sample size