Question

A new virus has been sweeping across the U.S. Health officials are interested in the average ages of men and women who end up infected with the virus. In a random sample of 200 men with the virus their average age was 60 years old with a standard deviation 15 years. In a random sample of 250 women with the virus their average age was 64 years old with a standard deviation of 10 years. Test whether the actual average age of men and women who have the virus are equal or not at a 4% level of significance.

H: H: Sample data: Conditions: Test Statistic: Analyze Data: Distribution curve: p-value: Decision (circle one): Reject H, Do NOT Reject H, Interpretation of decision (write a complete sentence in the context of the problem):

Answer 1

For meu ni= 200 (sample size) x = 60 (Bomple mean 3,- 15 (sample Standard devialtou) For Women Skip 72 = 64 mean) N2= 250 (Somple size) Sample (sample Stondard deialtou) a=0.04 Clever level of significance) S2 - 10 Our Hypothesis is Ho : li= 12 Hi : ll & l the two mean will use t- test for because population Standard driation is unknown Ivou by the givan test statistic is 12 t- ki 5,2+ si V Slot CSScanned with CamScanner

t = 60-64 (15)++ (1032 200 250 -3.2391 teot Statistic valu P-value is the For a=0.04 8 tail cud probability at (nith 2-2)=448 freedom given dom the degree of equal to p-value is area under wone €448 cooue 9=0.04 -3.2391 312 391 P-vallee - Plitl> 3.2091 . P-value = 0:0013 Decision Since we p value refect Ho interpretation Decision we of enough a average age of evidence to have actual conclude that meu and womou who have the μίσος YOO equal. CS Scanned with CamScanner