Total blood volume (in mi) per body wight (in kg) is important in medical research. For halthy aduks, the red blood call volame mean is about = 28 m/kg.1 Red blood call volame that is too lom ar too high can indicate a medical problem. Suppose that koger has had seven blood tests, and the red blood call volames mire as follows. 33. 27 40 Let x be a random variable that represents Roger's red blood call volume. Assume that x has a normal distribution and a-4.7S. Do the data indicate that koger's red blood cell volume is different (either way) from a- 28 mi/kg? Use a 0.O1 level of significance. a what is the level of sigrificance? State the null and alternate hypatheses. Will you use a left-lailed, right-laded, or two-tailed test? O Ho: - 2s ml/ka; Hi 28 m/kg, twa-tailed o He: - 28 mkg; H < 28 m/ka, left-taled O He: 28 m/kg H - 28 m/kg, two-tailed O Ho: p- 28 ml/kg; H:> 28 ml/ka; right-laiked (b) What sampling distribution wil you use? Explain the rationale for your choice of sampling distributian. O The Studers 1, ance we assume that x has a normal dalnibulion wilh krown o The sandard normal, ance we assume that x has a normal distribuion wh unknown a. O The Student's 1, since n is large with unknown e. o The standard normal, unce we assume that x has a ormal distribution with known Computa the az value of the sample test statistic. (kound your artiwer to two decimal places.) (C Find (or timate) the Pvalue. (Round your answer ta four decimal places,) Sketch the sampling distribution and show the area corresponding to the Pvalut. P-vd - (d) Based on your answirs in parts (a) to (c), will you reject or fai to reject the hull hypothesis? Are the data statistically significant at level a? O AL the a- 0.01 kevel, we rejet the null hypothesis and concdude the data are statisticaly significant. O AL the a- 0.01 kevel, we reject the ull hypothesis and condude the data are not statistically significant. O AL the a- 0.01 kevel, we fail to reject the null hypothesis and condude the data are statistically significant. O AL the a- 0.01 kevel, we fail to reject the null hypothesis and condude the data are not statistically significant. (e) State your conclusion in the contest of the applicalion. O There is sufficient evidence at the 0.01 leved to conclude that Roger's average red cell volume differs from the avirage for healthy adults. o Thire is insulficient evidence at the 0.01 level to condude that koger's avinage red call volume dilfers from Lhe average for hakty adults
Total blood volume (in mi) per body wight (in kg) is important in medical research. For halthy aduks, the red blood call volame mean is about = 28 m/kg.1 Red blood call volame that is too lom ar too high can indicate a medical problem. Suppose that koger has had seven blood tests, and the red blood call volames mire as follows. 33. 27 40 Let x be a random variable that represents Roger's red blood call volume. Assume that x has a normal distribution and a-4.7S. Do the data indicate that koger's red blood cell volume is different (either way) from a- 28 mi/kg? Use a 0.O1 level of significance. a what is the level of sigrificance? State the null and alternate hypatheses. Will you use a left-lailed, right-laded, or two-tailed test? O Ho: - 2s ml/ka; Hi 28 m/kg, twa-tailed o He: - 28 mkg; H < 28 m/ka, left-taled O He: 28 m/kg H - 28 m/kg, two-tailed O Ho: p- 28 ml/kg; H:> 28 ml/ka; right-laiked (b) What sampling distribution wil you use? Explain the rationale for your choice of sampling distributian. O The Studers 1, ance we assume that x has a normal dalnibulion wilh krown o The sandard normal, ance we assume that x has a normal distribuion wh unknown a. O The Student's 1, since n is large with unknown e. o The standard normal, unce we assume that x has a ormal distribution with known Computa the az value of the sample test statistic. (kound your artiwer to two decimal places.) (C Find (or timate) the Pvalue. (Round your answer ta four decimal places,) Sketch the sampling distribution and show the area corresponding to the Pvalut. P-vd - (d) Based on your answirs in parts (a) to (c), will you reject or fai to reject the hull hypothesis? Are the data statistically significant at level a? O AL the a- 0.01 kevel, we rejet the null hypothesis and concdude the data are statisticaly significant. O AL the a- 0.01 kevel, we reject the ull hypothesis and condude the data are not statistically significant. O AL the a- 0.01 kevel, we fail to reject the null hypothesis and condude the data are statistically significant. O AL the a- 0.01 kevel, we fail to reject the null hypothesis and condude the data are not statistically significant. (e) State your conclusion in the contest of the applicalion. O There is sufficient evidence at the 0.01 leved to conclude that Roger's average red cell volume differs from the avirage for healthy adults. o Thire is insulficient evidence at the 0.01 level to condude that koger's avinage red call volume dilfers from Lhe average for hakty adults
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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