Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population.
[18,15,21,14,15,19,18,18,12,11]
State the null and alternate hypothesis, give the p-value and state your conclusion based on a 5% significance level.