A random 24 subjects were recruited from NHANES 15-16 cycle for subjects' systolic blood pressure (mm Hg):

116 134 136 136 98 120 100 112 120 180 106 150 112 108 106 124 132 120 148 138 102 142 106 130

1. Conduct a one sample T test to investigate whether the average systolic blood pressure is equal to the historical control 110 mm Hg. (Calculate it by hand)

1. Write the null and alternative hypotheses
2. Calculate the point estimate (average systolic blood pressure)
3. Calculate standard error
4. Calculate the test statistics
5. Find the critical value
6. Find the p value
7. Interpret the result.

2. Construct and interpret the 95% confidence interval to estimate the average systolic blood pressure

(Show your steps to construct the 95% confidence interval)

3. make inference based on the test statistics in terms of your hypotheses