Total blood volume (in mi) per body wight (in ke) is important in medical research. For healthy aduks, the red blood cell volume mean is about p = 28 ml/kg.t Red blood cell vokume that is too lom ar too high can indicate a medical problem. Suppose that koger has had seven blood tests, and the red blood cell volumes weré as follows Let x be a random variable that represents Roger's red blood cll volume. Assume that x has a narmal distributian and - 4.75. Do the data indicate that koger's red blood cell valume is different (either way) from a- 28 mi/kg? Use a 0.01 lervel of significance. a What is the leval of sigaicance State the null and alternate hypotheses. Will you use a left-lailed, right-laded, or two-tailed test? O H: - 28 ml/kg; H: 2s m/kg; Ima-tailed o Ho: - 28 ml/ka; H 28 m/ka, let-tailed O Ho: 28 mil/kg: H1:- 28 ml/kg; tmo-tailed O Ho: 28 m/ka, H > 28 m/kg; right-laiked (b) What sampling distribution wil you use? Explain the rationale for your choice of sampling distributian. O The Studunt's 1, nce we assume that as a narma ubehoumn wnn kian e o The standard normal, since we assume that x has a normal distribution mith unknown O The Student 's 1, since n is large with unknowne. o The standard normal, since we assume that x has a normal distribution mith ktown a. Compute the value of the sample tet statistic (Round your artiwer to two decimal places,) (e) Find (or estimate) the Pvalue. (Round your answer to four decimal places.) Sketch the sameling distrbution and show the area coesponding to the Pvalue. P-d (d) Based on your answirs in parts (a) to (e), will you reject or fal to reject the null hypothesis? Are the data statistically significant at level a? O AL the a- 0.01 kevel, we rejet the nall ypothesis and concdude the data are statistically significant O AL the a- 0.01 kevel, we rejet the null hypothesis and concdude the data are not statisticaly 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. (@) State your oonclusion in the context of the application. O There is sufficient evidence at the 0.01 level to conclude that Roger's average red cell volume differs from the avirage for healthy adults. o There is insulficient evidence at the 0.01 level to condude that koger's average red call volumne dilfers from the average for hiattry adults.

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Total blood volume (in mi) per body wight (in ke) is important in medical research. For healthy aduks, the red blood cell volume mean is about p = 28 ml/kg.t Red blood cell vokume that is too lom ar too high can indicate a medical problem. Suppose that koger has had seven blood tests, and the red blood cell volumes weré as follows
Let x be a random variable that represents Roger's red blood cll volume. Assume that x has a narmal distributian and - 4.75. Do the data indicate that koger's red blood cell valume is different (either way) from a- 28 mi/kg? Use a 0.01 lervel of significance.
a What is the leval of sigaicance
State the null and alternate hypotheses. Will you use a left-lailed, right-laded, or two-tailed test?
O H: - 28 ml/kg; H: 2s m/kg; Ima-tailed
o Ho: - 28 ml/ka; H 28 m/ka, let-tailed
O Ho: 28 mil/kg: H1:- 28 ml/kg; tmo-tailed
O Ho: 28 m/ka, H > 28 m/kg; right-laiked
(b) What sampling distribution wil you use? Explain the rationale for your choice of sampling distributian.
O The Studunt's 1, nce we assume that as a narma ubehoumn wnn kian e
o The standard normal, since we assume that x has a normal distribution mith unknown
O The Student 's 1, since n is large with unknowne.
o The standard normal, since we assume that x has a normal distribution mith ktown a.
Compute the value of the sample tet statistic (Round your artiwer to two decimal places,)
(e) Find (or estimate) the Pvalue. (Round your answer to four decimal places.)
Sketch the sameling distrbution and show the area coesponding to the Pvalue.
P-d
(d) Based on your answirs in parts (a) to (e), will you reject or fal to reject the null hypothesis? Are the data statistically significant at level a?
O AL the a- 0.01 kevel, we rejet the nall ypothesis and concdude the data are statistically significant
O AL the a- 0.01 kevel, we rejet the null hypothesis and concdude the data are not statisticaly 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.
(@) State your oonclusion in the context of the application.
O There is sufficient evidence at the 0.01 level to conclude that Roger's average red cell volume differs from the avirage for healthy adults.
o There is insulficient evidence at the 0.01 level to condude that koger's average red call volumne dilfers from the average for hiattry adults.
Transcribed Image Text:Total blood volume (in mi) per body wight (in ke) is important in medical research. For healthy aduks, the red blood cell volume mean is about p = 28 ml/kg.t Red blood cell vokume that is too lom ar too high can indicate a medical problem. Suppose that koger has had seven blood tests, and the red blood cell volumes weré as follows Let x be a random variable that represents Roger's red blood cll volume. Assume that x has a narmal distributian and - 4.75. Do the data indicate that koger's red blood cell valume is different (either way) from a- 28 mi/kg? Use a 0.01 lervel of significance. a What is the leval of sigaicance State the null and alternate hypotheses. Will you use a left-lailed, right-laded, or two-tailed test? O H: - 28 ml/kg; H: 2s m/kg; Ima-tailed o Ho: - 28 ml/ka; H 28 m/ka, let-tailed O Ho: 28 mil/kg: H1:- 28 ml/kg; tmo-tailed O Ho: 28 m/ka, H > 28 m/kg; right-laiked (b) What sampling distribution wil you use? Explain the rationale for your choice of sampling distributian. O The Studunt's 1, nce we assume that as a narma ubehoumn wnn kian e o The standard normal, since we assume that x has a normal distribution mith unknown O The Student 's 1, since n is large with unknowne. o The standard normal, since we assume that x has a normal distribution mith ktown a. Compute the value of the sample tet statistic (Round your artiwer to two decimal places,) (e) Find (or estimate) the Pvalue. (Round your answer to four decimal places.) Sketch the sameling distrbution and show the area coesponding to the Pvalue. P-d (d) Based on your answirs in parts (a) to (e), will you reject or fal to reject the null hypothesis? Are the data statistically significant at level a? O AL the a- 0.01 kevel, we rejet the nall ypothesis and concdude the data are statistically significant O AL the a- 0.01 kevel, we rejet the null hypothesis and concdude the data are not statisticaly 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. (@) State your oonclusion in the context of the application. O There is sufficient evidence at the 0.01 level to conclude that Roger's average red cell volume differs from the avirage for healthy adults. o There is insulficient evidence at the 0.01 level to condude that koger's average red call volumne dilfers from the average for hiattry adults.
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