Study Questions and Exercises 1. Define the following terms: –

Increased blood vessel formulation is a predictive factor in survival for a certain disease. One treatment is stem cell transplantation with the​ patient’s own stem cells. The accompanying data table represents the microvessel density for patients who had a complete response to the stem cell transplant. The measurements were taken immediately prior to the stem cell transplant and at the time the complete response was determined. Complete parts​ (a) through​ (d) below. Patient Before After 11 169169 336336 22 181181 191191 33 250250 138138 44 397397 285285 55 394394 261261 66 408408 146146 77 Part 1 a.a. At the 0.050.05 level of​ significance, is there evidence that the mean microvessel density is higher before the stem cell transplant than after the stem cell​ transplant? Let mu 1μ1 be the mean density before the transplant and let mu 2μ2 be the mean density after the transplant. State the null and alternative hypotheses. Where Upper H 0H0​: mu Subscript Upper DμDless than or equals≤0 ​(where mu Subscript Upper DμDequals=mu 1 minus mu 2μ1−μ2​) Upper H 1H1​: mu Subscript Upper DμDgreater than>0 This is the correct answer. Part 2 The test statistic is t Subscript STATtSTATequals=1.611.61. ​(Round to two decimal places as​ needed.) Part 3 The​ p-value is 0.082 Since the​ p-value is greater than the value of alphaα​, do not reject Upper H 0 .do not reject H0. There is insufficient evidence to conclude that the mean microvessel density is higher before the stem cell transplant than after the stem cell transplant. The​ p-value is the probability of obtaining a sample mean difference of greater than or equal to the sample mean difference from the data if the population mean densities both before and after the transplant are the same. Construct and interpret a 95​% confidence interval estimate of the mean difference in microvessel density before and after the stem cell transplant. enter your response hereless than or equals≤mu Subscript Upper DμDless than or equals≤enter your response here ​(Round to one decimal place as​ needed.)

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