Answer Happy

1. Nurses at CINJ wanted to examine systolic blood pressure measured in the morning and evening are the same. They recruited a random sample of 23 patients and measured each patient's systolic blood pressure once in the morning and once in the evening. They collaborated with statisticians at CINJ to compare average systolic blood pressures in the morning and evening using a type I error of 0.05. Two computer outputs of their analysis using the R programming language are given below. Choose the correct analysis output and answer the questions given below. t.test(systolic. morning, systolic. evening, paired=F) Welch Two Sample t-test is not equal to O data: systolic morning and systolic. evening t = 1.9609, df = 43.9, p-value = 0.05625 alternative hypothesis: true difference in means 95 percent confidence interval: -0. 1862823 13.5775867 sample estimates: mean of x mean of y 105.95652 99.26087 > t.test(systolic.morning, systolic.evening, paired=T) Paired t-test is not equal to O data: systolic.morning and systolic. evening t = 3.4365, df = 22, p-value = 0.002356 alternative hypothesis: true difference in means 95 percent confidence interval: 2.654959 10.736345 sample estimates: mean of the differences 6.6956 52 a. Write your null and alternative hypotheses. [0.2 point] b. Give the value of the test statistic from the output. [0.2 point] c. What is the sampling distribution of the test statistic? [0.2 point] d. Give the degrees of freedom for the sampling distribution of your test statistic from the output. [0.2 point. do not just give the formula for degrees of freedom or say how the degrees of freedom might be calculated - give the actual number of the degrees of freedom from the output. If you only give the formula or the method for calculating the degrees of freedom without giving the actual number, you will get 0 points.] e. Write your scientific conclusion by including the p-value in parentheses. [Avoid saying "fail to reject" or "reject” the null hypothesis in your scientific statement]. [0.2 points]