Letxbe a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Thenxhas a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows.

16 18 16 20 15 11 14 18 17 11

(i) Use a calculator with sample mean and standard deviation keys to findxands.

(ii) Does this information indicate that the population average HC for this patient is higher than 14? Use= 0.01.

(a) What is the level of significance?

State the null and alternate hypotheses.

(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.

What is the value of the sample test statistic?

(c) Estimate theP-value.

Sketch the sampling distribution and show the area corresponding to theP-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level?

(e) Interpret your conclusion in the context of the application.