Chapter 9.2, Problem 18P

Please provide the following information for Problems 11-22.

(a) What is the level of significance? State the null and alternate hypotheses.

(b)Check Requirements What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the appropriate sampling distribution value of the sample test statistic.

(c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P- 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 $\alpha$?

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

Note: For degrees of freedom d.f. not given in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more “conservative" answer.

Medical: Hemoglobin Count Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with a population mean of about 14 for healthy adult women (see reference in Problem 17). Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient’s doctor arc

15

18

16

19

14

12

14

17

15

11

Use a calculator with sample mean and sample standard deviation keys to verify that $\bar{x}=15.1\text{ and }s\approx \mathrm{2.51.}$

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