Question: Two-sample Hypothesis Testing Example: An interested citizen wanted to know if the age of Democratic U.S. senators are different from the age of Republican U.S.

Two-sample Hypothesis Testing Example: An interested citizen wanted to know if

Republican U.S. senators. In 2018, the mean age of 30 randomly selected

Two-sample Hypothesis Testing Example: An interested citizen wanted to know if the age of Democratic U.S. senators are different from the age of Republican U.S. senators. In 2018, the mean age of 30 randomly selected Republican Senators was 61.67 with a standard deviation of 10.17 years; while the mean age of 35 randomly selected Democratic senators was 62.50 with a standard deviation of 9.55 years. Do the data indicate that the ages of Democratic senators and Republican senators are different? Test at a 5% level of significance.Appendix A GOT Standard Normal Probability Distribution: Z Table Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 - 3686 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 5- 3686 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 01844 0.1879 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 = 1 13 / 4 Purdue 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3385 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 0= 105 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 |0.3962 0.3980 0.3997 0.4015 fralu sd 1.3 0,4032 0.4049 0.4066 0,4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 How a caplal 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0,4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 1.8 0,4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 19 0 4713 0 4719 0.4726 0.4732 0.4738 0 4744 0.4750 0 10.4756 0.4761 104767

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