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 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 are 16 19 14 12 14 17 15 11 15 18 i. Use a calculator with sample mean and sample standard deviation keys to verify that = 15.1 and s = 2.51. ii. Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01.

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(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. Compute the 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 a?

 

(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 “conser-vative” answer.

18. | 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 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 are
15
18
16
19
14
12
14
17
15
11
i. Use a calculator with sample mean and sample standard deviation keys to
verify that = 15.1 and s = 2.51.
ii. Does this information indicate that the population average HC for this
patient is higher than 14? Use a =
0.01.
Transcribed Image Text:18. | 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 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 are 15 18 16 19 14 12 14 17 15 11 i. Use a calculator with sample mean and sample standard deviation keys to verify that = 15.1 and s = 2.51. ii. Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01.
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