Question

Consider the hypothesis statement shown below using alphaαequals=0.05 and the data to the right from two independent samples. Upper H 0 : mu 1 minus mu 2 equals 0H0: μ1−μ2=0 Upper H 1 : mu 1 minus mu 2 not equals 0H1: μ1−μ2≠0 ​a) Calculate the appropriate test statistic and interpret the result. ​b) Calculate the​ p-value and interpret the result.

x overbarx1 equals= 190 x overbarx2 equals= 220 sigmaσ1 equals= 60 sigmaσ2 equals= 47 n1 equals= 50 n2 equals= 37

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**Use the standard normal table.**

​a) The test statistic is negative 2.61.

​(Round to two decimal places as​ needed.)

Determine the appropriate critical​ value(s). Select the correct choice below and fill in the answer box to complete your answer.

​(Round to two decimal places as​ needed.)

A.The critical values are

plus or minus±nothing.

B.The critical value is

nothing.

Answer 1

4 Test-stel (2) = *, - X2 2 2 190-220 2 60 SD + 472 37 -1-2.61 the critical value = I za : 762 -0.05 = NORMS INV (0.005) - - Excel iful A = +1.96 P-value = 2P (2<-216!) 0.0090 p-value < x=0.05 so, data is Statistically significant so, Reject Ho