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# Total blood volume per body weight

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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 ?= 28 ml/kg.Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows.33264136283830The sample mean isx?33.1ml/kg. Let x be a random variable that represents Roger’s red blood cell volume. Assume that x has a normal distribution and? = 4.75.

Do the data indicate that Roger’s red blood cell volume is different (either way) from? = 28 ml/kg?Use a0.01 level of significance.(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? H0: ? = 28 ml/kg; H1: ? > 28 ml/kg; right-tailedH0: ? = 28 ml/kg; H1: ? ? 28 ml/kg; two-tailedH0: ? ? 28 ml/kg; H1: ? = 28 ml/kg; two-tailedH0: ? = 28 ml/kg; H1: ? < 28 ml/kg; left-tailed(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x has a normal distribution with known?

The Student’s t, since we assume that x has a normal distribution with known ?

The Student’s t, since n is large with unknown ?

The standard normal, since we assume that x has a normal distribution with unknown ?

Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 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 ?? At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.

At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) State your conclusion in the context of the application.

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