Letxbe a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Thenxhas a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of thexdistribution is about4.78. 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 findxands.

(ii) Do the given data indicate that the population mean RBC count for this patient is lower than4.78? Use= 0.05.

(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? (Round your answer to three decimal places.)

(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.