A sample of 12 skull measurements from 4000 BC yield an average maximum breadth of 128.7 units with a standard deviation of 4.6 units. Using an 80% confidence level to express the true average maximum breadth of skulls expected in 4000 BC. Assume that the distributions for the maximum breadth follows a symmetric bell-shaped curve. Answer the following questions: 

a) List the summary statistics, using appropriate symbols, that are need to complete the problem. 

b) If this is a confidence interval give the correct critical value including its symbol, fill in the correct values in the formula from the flow chart, show and use your computed values to give the interval with the appropriate population parameter(s) in the middle of an inequality. See the notes/video for my expectations. 

C) If this is a hypothesis test write the correct alternative hypothesis and use the formula from the flow chart and input the correct values into it to find and give the test statistic's value. See the notes/video for my expectations. 

d) If this is for a confidence interval explain what the confidence interval means. If it tells you something about the population(s) discuss what it tells you. e) If this is a hypothesis test give the p-value of the test statistic and explain whether at the level of confidence given whether you can support the claim being tested