Chapter 9.1, Problem 24P

For Problems 19-24, please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?

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

Medical: Red Blood Cell Volume Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about $\mu =28\text{ ml/kg}$ (Reference: Laboratory andDiagnostic Tests by F. Fischbach). Red blood cell volume that is too low or too high can indicate a medical problem (sec reference). Suppose that Roger has had seven blood tests, and the red blood cell volumes were

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The sample mean is $\bar{x}\approx 32.7$ ml/kg. Let x be a random variable that represents Roger’s red blood cell volume. Assume that x has a normal distribution and $\sigma =4.75$. Do the data indicate that Roger's red blood cell volume is different (cither way) from $\mu =28\text{ ml/kg}$? Use a 0.01 level of significance.