The following information is available. Ho H 2220 H1 H 2200 A sample of 64 obser

Question

The following information is available. Ho H 2220 H1 H 2200 A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level a. Is this a one- or two-tailed test? o One-tailed test O Two-tailed test b. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) GReec Hn when z c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Value of the test statistic d. What is your decision regarding Ho? O Do not reject o Reject e. What is the p-value? (Round your answer to 4 decimal places.) p-value

Explanation / Answer

b)reject Ho when Z<-1.96

std error =std deviation/(n)1/2 =1.875

test stat z=(X-mean)/std error =(215-220)/1.875 =-2.6667

p value for above =0.0038

c-1) degree of freedom =n-1=20-1=19

for 19df and 0.05 level crtical value of t <-2.093

c-2)

test stat=(X-mean)/std error =(13.5-15)/0.336= -4.4643

X 14.000 14.000 16.000 12.000 12.000 14.000 13.000 16.000 15.000 14.000 12.000 15.000 15.000 14.000 13.000 13.000 12.000 13.000 10.000 13.000 mean(X) 13.500 std deviation(S) 1.504 std error =S/(n)1/2 0.336

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