4. You are a quality control engineer, and you are asked to analyze the lifetime (in hours) of an electronic component mass-produced by a corporation. Management believes that the electronic components are not lasting as long as they should. The data from your pilot study of 10 randomly selected components resulted in the following lifetime for paris (in hours): 34 42 45 a. Assuming the lifetimes follow a normal distribution, and based on the above sample, develop a 95% confidence interval for the mean lifetime of this type of electronic component. b. The corporation now wants a large analysis. Using the information from your pilot study, you will now determine the sample size needed to ensure a confidence of 99% and an error of at most 2.0 hours. How large is your sample ? (Hint: Use the value of the standard deviation from Part la for the sample size formula.) C. With the sample size you just calculated, you then took a sample. After several days of collecting data, you found a sample average of 50 hours with a standard deviation of 6.3 hours. Calculate a 95% confidence interval for the true population mean of the lifetime of these electronic paris