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

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Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Σχ - 64.2; Σ ? = 528.24; Ey = 90.4; Ey² = 1063.88; Exy = 741.77 6.2 8.6 7.0 7.5 8.3 6.9 10.0 9.7 y 9.7 10.3 10.9 11.5 14.2 7.0 14.6 12.2 Find the equation of the least-squares line. (Round your answers to three decimal places.) Find the sample correlation coefficient r and the sample coefficient of determination r. (Round your answers to three decimal places.) r = 2 = If x = 7.0, use the least-squares line to predict y. (Round your answer to two decimal places.) y = Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.) lower limit mg/10 ml upper limit mg/10 ml Use level of significance 1% and test the claim that the…

Suppose that X is a normal random variable with a mean of μ = -50 and a standard deviation of o= 8. Determine the value of x so that Pr[X > x] = Pr[Z > -0.75], where Z is the standard normal random variable. A. 56 B. 44 C.-6 OD. -44 E. -56

Q18. If x ~ N(100, 25) and a random sample ofx of size 16 is obtained. What is the standard deviation of the distribution of the sample mean, x? A. 1.25 B V1.25 C. 25 D. V25 = 5

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