Consider the following hypotheses:
H0: 150
HA:
A sample of 80 observations results in a sample mean of 144. The population standard deviation is known to be 28. UseTable 1.
a.What is the critical value for the test with= 0.01 and with= 0.05?(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
Critical Value
a=0.01?
a=0.05?
b-1.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
b-2.Does the above sample evidence enable us to reject the null hypothesis at= 0.01?
A)Yes since the value of the test statistic is not less than the negative critical value.
B)Yes since the value of the test statistic is less than the negative critical value.
C)No since the value of the test statistic is not less than the negative critical value.
D)No since the value of the test statistic is less than the negative critical value.
c.Does the above sample evidence enable us to reject the null hypothesis at= 0.05?
A)Yes since the value of the test statistic is not less than the negative critical value.
B)Yes since the value of the test statistic is less than the negative critical value.
C)No since the value of the test statistic is not less than the negative critical value.
D)No since the value of the test statistic is less than the negative critical value.
TABLE 1 Standard Normal Curve Areas Entrles In 11115 lahle pmldecumulalhre probabllmes. that 1: 019 area under \"recurvetothelaofz.he.mple,P(ZSl.52)= 0.0643. P425 72) *1 0 t 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.06 0.09 3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 *36 0.0001 0.0001 0.0001 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.000] 3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.0001 *36 0.0002 0.0002 0.000] 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.000] 3.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 *33 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 3.] 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 3.0 0.0013 0.1.1013 0.0013 0.0012 0.01112 0.0011 11.0011 0.0011 0.0010 0.0010 *29 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 2.3 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 *27 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 *25 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.00- 0.0066 0.0064 7 2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0067 0.0084 2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 *2] 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0138 0.0183 *1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 1.3 0.0359 0.0351 0.8344 0.0336 0.0329 0.0322 0.031 4 0.0307 0.0301 0.0294 1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.1140] 0.0392 0.0384 0.0375 0.0367 *1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 *1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 1.4 0.11808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 1.3 0.0968 0.0%] 0.0934 0.0918 0.0901 0.0885 0.0369 0.0853 0.0838 0.0823 1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 1.] 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 *1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.171] 0.1685 0.1660 0.1635 0.1611 *06 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 D.6 0.2743 0.27119 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.5 0.3005 0.3050 0.3015 0.2981 0.2946 0.2912 0.2377 0.2843 0.2810 0.2776 *0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.312] *0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.401 3 0.3974 0.3936 0.3897 0.3859 0. 1 0.4602 0.4562 0.4522 0.44 83 0.4443 0.4404 0.4364 0.4325 0.4236 0.4247 0.0 0.5000 0.49611 0.4920 0.4880 0.4840 0.4801 11.4761 0.4721 0.4631 0.4641 91111 Fmamlmuakulm mm Eats] TABLE .1. {Cominued} Enta lrr mlshble purlde curmlallve prtbahllla. that Is, the area under me cu'vetnme le ofz. Forexamle, PIE 51.521= 0.9357. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5739 0.5279 0.5319 0.5359 0.1 0.5398 0.5433 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5632 0.5871 0.5910 11.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.633] 0.6366 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.659] 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6379 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.729] 0.7324 0.7357 0.7389 0.7422 0.7454 0.7466 0.7517 0.7549 0.7 0.7580 11.7611 0.7642 0.7673 11.7704 8.7734 0.7764 0.7794 0.7823 0.7352 0.8 0.780] 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.6078 0.8106 0.8133 0.9 0.3159 0.8186 0.8212 0.3238 0.8264 0.8289 0.8315 0.3340 0.8365 0.8389 1.0 0.6413 0.8436 0.8461 0.6465 0.8508 0.853] 0.8554 0.6577 0.8599 0.8621 1.] 0.6643 0.8665 0.8686 0.6708 0.8729 0.8749 0.8770 0.6790 0.8810 0.8630 1.2 0.3849 0.8369 0.8888 0.3907 0.8925 0.8944 0.8962 0.3980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9062 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.925] 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9464 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9562 0.959] 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9673 0.9686 0.9693 0.9699 11.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9773 0.9783 0.9738 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.982] 0.9826 0.9830 0.9834 11.9838 11.9642 0.9846 0.9850 0.9854 0.9657 2.2 0.986] 0.9664 0.9868 0.9871 0.9875 0.9676 0.9881 0.9864 0.9887 0.9690 2.3 0.9893 0.9396 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 11.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974- 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9973 0.9979 0.9979 0.9980 0.9981 2.9 0.998] 0.9982 0.9982 0.9963 11.9984 11.9984 0.9985 0.9965 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9968 0.9988 0.9989 0.9989 0.9969 0.9990 0.9990 3.] 0.9990 0.999] 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 11.9996 11.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9996 3.5 0.9998 0.9993 0.9998 0.9998 0.9998 0.9993 11.9998 0.9998 0.9998 0.9993 3.6 0.9998 0.9996 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.8 0.9999 0.9999 0.9999 0.9999 0.9999 11.9999 0.9999 0.9999 0.9999 0.9999 3.9 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 51111 Pmlnhllllu Gtulamdwnh Elm
