Discuss the below:
Q: Let x be a random variable representing percetage of carboxyhemoglobin in the blood. For a person who is a regular heavy smoker, x has a distribution that is approximately normal. A random sample of n= 12 blood test given to a heavy smoker gave the following results:
9.1 9.5 10.2 9.8 11.3 12.2
11.6 10.3 8.9 9.7 13.4 9.9
a) A long term population mean μ = 10% is considered a health risk. However, a long-term population mean above 10% is considered a clinical alert that the person may be asymptomatic. Do the data indicate that the population mean percentage is higher than 10% for this patient? Use α= 0.05
b) Use the given data to find a 99% confidence interval for this patient.