The company Jarrid Medical, Inc., is developing a compact machine to perform kidney dialysis, but the company's chief engineer, Mike Crowe, has trouble controlling the variability of how fast the fluid moves through the apparatus. Medical standards require the hourly flow to be 4.25 liters, 98% of the time. Mr. Crowe performs tests on the prototype with the following results for each hourly flow test performed:

4.17 4.32 4.21 4.22

4.29 4.19 4.29 4.34

4.33 4.22 4.28 4.33

4.52 4.29 4.43 4.39

4.44 4.34 4.3 4.41

With the information obtained from the sample, it is necessary to find the confidence interval that reflects what the expected hourly flow is in 98% of the time of the compact machine developed and to determine if it is satisfying the medical standards. Does the prototype meet medical standards? Present all the steps required to build your confidence interval and an analysis that justifies your answer to the stated question.