Listed below are the numbers of words spoken in a day by each member of six different couples. The data are randomly selected from the first two columns in Data Set 24

"Word Counts" in Appendix B.
a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?

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PAIR SEX (1-M) ORDER VOL AREA 1913.88 1684.89 1902.36 1860.24 2264.25 CCSA 6.08 5.73 6.22 5.80 7.99 CIRC 54.7 54.2 53.0 52.9 57.8 WT 57.607 58.968 64.184 58.514 63.958 96 1005 89 1035 1027 1281 101 Male 15,684 26,429 1,4117,771 18,876 15,477 14,069 25,835 Female 24,625 13,397 18,338 17,791 12,964 16,937 16,25518,667