It is claimed that the life expectancy for an average American male is 70 years with a known standard deviation of 10. You are tasked to evaluate this claim. You came across a data set that collected some information on this and part of that data set is provided as an Excel spreadsheet labeled “Life Expectancy”. The data is assumed to be normally distributed. RANDOMLY select 30 of these individuals and use the information to:

70, 69, 100, 67, 66, 70, 72, 74, 68, 67

66, 76, 78, 70, 69, 70, 71, 74, 67, 64,

54, 89, 68, 72, 45, 66, 70, 78, 82, 86

1. Determine the probability that the life expectancy of American males is higher than 75 years
2. Find the 95% confidence interval of your sample mean
3. Conduct a hypothesis testing about the claim on the population. You may conduct a one-tail “lower tail” test, one-tail “upper tail” test or two-tails tests depending on your test statistic. Please properly outline the steps in conducting your hypothesis testing. Make sure you provide justifications for whatever decision you arrive at, after conducting the test.

Please provide a required a written summary of this project for each answer; meaning A. B. and C. Also, please show work step by step.