Please note that this question consists of three parts. Show…

Questions

Pleаse nоte thаt this questiоn cоnsists of three pаrts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question.  A customer protection agency conducts a study to estimate the true mean delivery time by a private courier company within a major city. They randomly select 36 deliveries and record their delivery times. For this sample the mean was 174 minutes with standard deviation 45 minutes. Find a 95% confidence interval for the true average delivery time. Interpret the above calculated interval in the context of the problem. The private courier company claimed that on average their delivery time is within 2.5 hours. Based on the interval in part 1, was the company's claim correct? Explain.