In a test of two population means -11versus22- with unknown variances2112and2222, two independent samples ofn1=8n1=8andn2=10n2=10were taken. The data is given below. Both populations are normally distributed.

Sample From Population 1: 12, 10, 20, 20, 11, 13, 8, 9 ;

Sample From Population 2: 20, 19, 16, 23, 17, 17, 18, 17, 10, 18 ;Download .csv file

(a) You wish to test the hypothesis that both populations have the same variance. Choose the correct statistical hypotheses.

A.H0:21=22HA:21>22H0:12=22HA:12>22

B.H0:21=22HA:2122H0:12=22HA:1222

C.H0:2122HA:21=22H0:1222HA:12=22

D.H0:21=22HA:21<22H0:12=22HA:12<22

E.H0:S21=S22HA:S21S22H0:S12=S22HA:S12S22

(b) Determine the value of the test statistic for this test. Use at least two decimals in your answer.

Test Statistic = equation editorEquation Editor

(c) Determine thePP-value for this test, to at least three decimal places.

P=P= equation editorEquation Editor

(d) Using=0.05=0.05, the null hypothesis should

reject/not reject

. From this data and this version of the hypothesis we infer, the variation in Population 1 is statistically

equal to/greater than/lesser than/different than

the variation in Population 2.