Given the following information, use -Table B. 4 in Appenclix B to determine whether the correlations are significant and how you would interpret the results.

a. The correlation between speed and strength for 20 women is .567. Test these results at the .01 level using a one-tailed test.

b. The correlation between the number correct on a math test and the time it takes to complete the test is -.45. Test whether this correlation is significant for 80 children at the .05 level of significance. Choose either a one- or two-tailed test and justify your choice.

c. The correlation between number of friends and grade point average (GPA) for 50 adolescents is .37 . Is this significant at the . 05 level for a two-tailed test?

Data From Appendix B Table B.4

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df One-Tailed Test df Two-Tailed Test .05 .01 .05 .01 1 .9877 .9995 1 .9969 .9999 2 .9000 .9800 2 .9500 .9900 3 .8054 .9343 3 .8783 .9587 4 .7293 .8822 4 .8114 .9172 5 .6694 .8320 5 .7545 .8745 6 .6215 .7887 6 .7067 .8343 7 .5822 .7498 7 .6664 .7977 8 .5494 .7155 8 .6319 .7646 9 .5214 .6851 9 .6021 .7348 10 .4973 .6581 10 .5760 .7079 11 .4762 .6339 11 .5529 .6835 12 .4575 .6120 12 .5324 .6614 13 .4409 .5923 13 .5139 .6411 14 .4259 .5742 14 .4973 .6226 15 .412 .5577 15 .4821 .6055 16 .4000 .5425 16 .4683 .5897 17 .3887 .5285 17 .4555 .5751 18 .3783 .5155 18 .4438 .5614 19 .3687 .5034 19 .4329 .5487 20 .3598 .4921 20 .4227 .5368 25 .3233 .4451 25 .3809 .4869 30 .2960 .4093 30 .3494 .4487 35 .2746 .3810 35 .3246 .4182 40 .2573 .3578 40 .3044 .3932 45 .2428 .3384 45 .2875 .3721 50 .2306 .3218 50 .2732 .3541 60 .2108 .2948 60 .2500 .3248 70 .1954 .2737 .2319 .3017 80 .1829 .2565 80 .2172 .2830