Increased blood vessel formulation Is a predictive factor in survival for a cert
ID: 3151023 • Letter: I
Question
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) Click the icon to view the data table At the 0.01 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_1 be the mean density before the transplant and let mu_2 the mean density after the transplant State the null and alternative hypotheses Choose the correct answer below. H_0: mu_D greaterthanorequalto 0 (where mu_D = mu_1 - mu_2) H_1: mu_D 0 H_0: mu_D lessthanorequalto 0 (where mu_D = mu_1/mu_2) H_1: mu_D > 0 H_0: mu_D lessthanorequalto 0 (where mu_D = mu_1 - mu_2) H_1: mu_D > 0 H_0: mu_D = 0 (where mu_D = mu_1 - mu_2) H_1: mu_D notequalto 0 H_0: mu_D notequalto 0 (where mu_D = mu_1/mu_2) H_1: mu_D = 0 The test statistic is t_STAT =. (Round to two decimal places as needed ) The p-value is. (Round to three decimal places as needed ) Since the p-value is the value of alpha, There is evidence to conclude that the mean microvessel density is higher before the stem cell transplant than after the stem Interpret the meaning of the p-value in. Choose the correct answer below. The p-value is the probability of obtaining a sample mean difference of 83 43 or less if the population mean densities both before and after the transplant are the same. The p-value is the probability of obtaining a sample mean difference of 83 43 or more if the population mean densities both before and after the transplant are the same. The p-value is the probability of not rejecting the null hypothesis when it is false Construct and interpret a 99% confidence interval estimate of the mean deference in microvessel density before and after the stem cell transplant. lessthanorequalto mu_D lessthanorequalto (Round to one decimal place as needed ) Interpret this interval Choose the correct answer below. With 1% confidence the mean difference in microvessel density before and after the stem cell transplant falls in this interval. With 1% confidence the mean microvessel densities before and after the stem cell transplant fall outside this interval. With 99% confidence the mean deference in microvessel density before and after the stem cell transplant falls in this interval. With 99% confidence the mean microvessel densities before and after the stem cell transplant fall in this interval. What assumption is necessary about the population distribution in order to perform the test in ? It must be assumed that the distribution of the differences between the measurements is skewed. It must be assumed that the distribution of the differences between the measurements is approximately normal. It must be assumed that the distribution of the differences between the measurements is approximately uniform.Explanation / Answer
The test checks whether mean microvessel density is higher before stem cell transplant. This accounts for one-tailed test, where, alternative hypothesis is H0: mu1-mu2>0 that is mu1>mu2. Option B)
From information given, n=7 pairs, dbar=83.4,sd=49.3
Estimate standard deviation of dbar.
SE(dbar)=sd/sqrt n=130.3/sqrt 7=49.25
t6=(dbar-0)/SE(dbar)=83.4-0/49.25=1.69
The p value is 0.141.
Since, p value is not less than 0.05, there is insufficient sample evidence to reject null hypothesis.
The p value is Option C) [probability of making Type II error, that is failure to reject a false null hypothesis]
The 99% c.i.=dbar+-t*6*SE(dbar)=83.4+-3.365*49.3=-99.2 to 266.1
Interpreting interval.
Option C
Assumption
Option B)