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Total blood volume (in mi) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about 28 m/kgt. 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. 31 26 43 37 32 30 29 Let x be a randem variable that represents Roger's red blood cel volume. Assume that xhas a normal distribution and e- 4.75. De the data indicate that Roger's red blood cell volume is efferent (either way) from- 28 mg Use a 0.01 level of significance. is the level of signitcance State the nul and alternate hypotheses. W you use a left-tailed, right-tailed, or two-taled test? OMl-28 m/kg 28 mg nght taled OM -28 m/g H 28 mg en taled OH 28 mg 20 mg two tailed OH 28 m/kg: H 28 m/kg: two-talled () What sampling distribution wil you use? Explain the rationale for your choice of sampling distribution O The standard nermal, since we assume thatx has a normal distributien with known a. O The Student'stsince nis large with unknown e. O The Student's t, since we assume that x has a normal distributien wth known a. O The standard normal, since we assume that x has a normal distribution with unknown e. What is the value of the sample test statisti (Reund your answer to two decimal places.) O (e) Find (or estimate) the Pvalue. (Round your answer te feu decimal places) Sketch the sampling distribution and show the area corresponding to the Pvalue.

Total blood volume (in mi) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about 28 m/kgt. 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. 31 26 43 37 32 30 29 Let x be a randem variable that represents Roger's red blood cel volume. Assume that xhas a normal distribution and e- 4.75. De the data indicate that Roger's red blood cell volume is efferent (either way) from- 28 mg Use a 0.01 level of significance. is the level of signitcance State the nul and alternate hypotheses. W you use a left-tailed, right-tailed, or two-taled test? OMl-28 m/kg 28 mg nght taled OM -28 m/g H 28 mg en taled OH 28 mg 20 mg two tailed OH 28 m/kg: H 28 m/kg: two-talled () What sampling distribution wil you use? Explain the rationale for your choice of sampling distribution O The standard nermal, since we assume thatx has a normal distributien with known a. O The Student'stsince nis large with unknown e. O The Student's t, since we assume that x has a normal distributien wth known a. O The standard normal, since we assume that x has a normal distribution with unknown e. What is the value of the sample test statisti (Reund your answer to two decimal places.) O (e) Find (or estimate) the Pvalue. (Round your answer te feu decimal places) Sketch the sampling distribution and show the area corresponding to the Pvalue.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Transcription for Educational Website** _Total blood volume (mL) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about \( \mu = 28 \text{ mL/kg} \). 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:_ 25, 31, 27, 26, 28, 29, 26 _Let \( x \) be a random variable that represents Roger's red blood cell volume. Assume that \( x \) has a normal distribution and \( \sigma = 4.7 \). Do the data indicate that Roger's red blood cell volume is different (either way) from \( \mu = 28 \text{ mL/kg} \)? Use a 0.01 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?** - \( H_0: \mu = 28 \text{ mL/kg}; H_1: \mu < 28 \text{ mL/kg}; \) left-tailed - \( H_0: \mu = 28 \text{ mL/kg}; H_1: \mu > 28 \text{ mL/kg}; \) right-tailed - \( H_0: \mu = 28 \text{ mL/kg}; H_1: \mu \neq 28 \text{ mL/kg}; \) two-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 \( \sigma \). - The Student's \( t \), since \( n \) is large with unknown \( \sigma \). - The Student's \( t \), since we assume that \( x \) has a normal distribution with known \( \sigma \). - The standard normal, since we assume that \( x \) has a normal distribution with unknown \( \sigma \). **What is the value of the sample test statistic?** (Round your answer to two decimal places.) **(c) Find (
Transcribed Image Text:**Transcription for Educational Website** _Total blood volume (mL) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about \( \mu = 28 \text{ mL/kg} \). 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:_ 25, 31, 27, 26, 28, 29, 26 _Let \( x \) be a random variable that represents Roger's red blood cell volume. Assume that \( x \) has a normal distribution and \( \sigma = 4.7 \). Do the data indicate that Roger's red blood cell volume is different (either way) from \( \mu = 28 \text{ mL/kg} \)? Use a 0.01 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?** - \( H_0: \mu = 28 \text{ mL/kg}; H_1: \mu < 28 \text{ mL/kg}; \) left-tailed - \( H_0: \mu = 28 \text{ mL/kg}; H_1: \mu > 28 \text{ mL/kg}; \) right-tailed - \( H_0: \mu = 28 \text{ mL/kg}; H_1: \mu \neq 28 \text{ mL/kg}; \) two-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 \( \sigma \). - The Student's \( t \), since \( n \) is large with unknown \( \sigma \). - The Student's \( t \), since we assume that \( x \) has a normal distribution with known \( \sigma \). - The standard normal, since we assume that \( x \) has a normal distribution with unknown \( \sigma \). **What is the value of the sample test statistic?** (Round your answer to two decimal places.) **(c) Find (
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