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taken from the right and 9. (21 Pts) Listed below are systolic blood pressure me

ID: 3361336 • Letter: T

Question

taken from the right and 9. (21 Pts) Listed below are systolic blood pressure measurements (mm Hg) left arms of a patient at random times during the day At a 10% significance level, do the data provide sufficient evidence to claim that there is a difference between the systolic blood pressure measurements of the right and left arms of the patient. NOTE: NO COMPUTATIONS ARE REQUIRED. Right arm 142 145 136131 130 Left arm 180 177 179150 147 (a) This problem is about (circle the correct one): One population mean Two population means, independent samples Two population means, paired samples One population standard deviation (b) State the null and alternate hypotheses. (c) What is the level of significance? (d) List the assumptions and show the numbers or information given to meet each assumption The P-value = 0.4535 for the Shapiro-Wilk normality test. (e) Circle which of the following Statcrunch methods you would use to test the hypothesis stated in part (b). Z Stats -One sample T Stats-One sample T Stats -Two samples T Stats-Paired Sample Variance tests -One sample None of these since not all assumptions are met (0 If the P-value is 0.0044, show how you determine if Ho is rejected or not. (g) Wite the interpretation of the results of the hypothesis test.

Explanation / Answer

a) This problem is about Two population means, paired samples

b) H0: There is no significance difference between the systolic blood pressure measurements of the right and left arms of the patient
H1: There is significance difference between the systolic blood pressure measurements of the right and left arms of the patient

c) Given the los be alpha = 10%

d) Given P-value = 0.4535 > alpha 0.05, Thus we conclude that the given data follows normal distribution

e) T Stat-Paired Samples

f) P-value is 0.0044 < alpha 0.05, we reject the null hypothesis

g) Thus we conclude that there is significance difference between the systolic blood pressure measurements of the right and left arms of the patient