# 15Let x be a random variable that represents red blood cell count (RBC)

Question

15Let x be a random variable that represents red blood cell count (RBC) in millions of cells per

cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.64. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient’s doctor are as follows.

4.9 4.2 4.5 4.1 4.4 4.3

(i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)

x =

s =

(ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.64? Use α = 0.05.

(a) What is the level of significance?

.

What is the value of the sample test statistic? (Round your answer to three decimal places.)

16Let 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 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 17 20 15 11 13 17 17 11

(i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)

x =

s =

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

(a) What is the level of significance?

What is the value of the sample test statistic? (Round your answer to three decimal places.)