please solve with full step

A consulting company (0A) advises its clients about quality assurance measures. One client gave QA a sample of 1000 observations taken during a time when the client process was operating properly . The sample standard deviation for these data was 0.21 ; hence with so much data , the population standard deviation was assumed 0.21 . Random samples of size 30 were taken periodically to monitor the process . by analysing the samples the client can learn weather the process is operating satisfactorily , and if it is necessary to take corrective action . The design satisfaction indicated that the mean for the process should be 12.0 You are given the data below for two different samples a. Formulate the null and alternative hypotheses , assuming QA wants to learn ifthe mean differs from 12.0. {20 points) b. Do a hypothesis test for each sample , using o=0.01 , and determine weather corrective action should be taken . (Note : perform the full test , with out the use of any soware) (80 points) Sample I 11.55 11.62 11.52 11.75 Sample 2 11.62 11.69 11.59 11.82 11.97 11.71 11.87 12.10 12.01 11.99 12.20 12.16 12.00 12.28 12.39 12.00 11.92 11.83 12.23 11.84 12.07 12.11 12.05 12.37 12.25 12.04 12.24 11.92 12.37 12.22 11.64 12.03 11.94 11.92 12.13 12.09 11.93 12.21 12.32 11.93 11.85 11.76 12.16 11.77 12.00 12.04 12.30 12.18 11.97 12.17 11.85 12.30 12.15