You are interested in exploring body mass index (BMI) as part of a…

Question Answered step-by-step You are interested in exploring body mass index (BMI) as part of a… You are interested in exploring body mass index (BMI) as part of a research study on middle-aged men’s health. You collect data from 100 randomly selected men. Your sample has a mean BMI of 28 kg/m2 . You know that the mean BMI for middle aged men at risk for diabetes is 31 kg/m2 with a standard deviation of 2.7 kg/m2 . Use hypothesis testing to determine whether your sample (mean 28 kg/m2 ) is part of the group that is at risk for diabetes (mean BMI 31 kg/m2 ) or not. A) Identify a null and alternative hypothesis for a two-sided test. (1 mark) B) Calculate a z score for this data and depict the z score on a standard normal curve. You are welcome to draw the distribution on your computer or draw it by hand. Include the image in your summary document.C) Using the standard normal chart provided below, identify the area to the left and right of your z score.D) Assuming this is a two-sided test, identify your p value. Based on your findings, identify whether you would reject or fail to reject the null hypothesis with a significance level of α = 0.05. E) Describe the two types of error you can make when you conduct a hypothesis test.   Image transcription textTable entry Table entry for : is the area under the standard normal curve Table entry for : is the area under the standard normal curve to the left of c. to the left of c. .05 .06 407 -08 -09 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .DO -02 .04 .0002 .5000 5040 5080 .5120 5160 5199 5239 5279 5319 5359 -3.4 .0003 .0003 1003 .0003 -0003 .0003 .0003 .0003 10003 0.O .5398 5438 5478 5517 555 5596 5636 5675 5714 5753 0005 0004 .0004 .0004 .0004 0003 -3.3 -0005 DO04 0.1 0005 0.2 .5793 5832 5871 .5910 5948 5987 6026 6064 6103 6141 -3.2 .00 07 .0007 10006 .0006 .0006 .0006 0006 0005 10005 6443 6480 6517 -3.1 .0010 .0009 10009 0009 10008 0008 0.3 .6179 6217 6255 .6293 6331 6368 6406 6844 6879 -3.0 .0013 0013 0013 0012 0012 0011 0011 0011 0010 0010 0.4 .6554 6591 .6628 .6664 6700 6736 .6772 6808 .0015 0014 .0014 0.5 .6915 6950 6985 7019 7054 7088 7123 7157 7190 7224 -2.9 .0019 .0018 0018 .0017 0016 .0016 0015 -2.8 -0026 0025 0024 0023 0023 .0022 0021 0021 0020 -00190.6 .7257 7291 7324 7357 .7389 .7422 .7454 7486 7517 7549 10029 .0028 1027 .0026 0.7 .7580 7611 7642 7673 .7704 .77 34 .7764 7794 7852 -2.7 .0035 0034 10033 0032 0031 0030 .8051 8078 .8106 8133 -2.6 .00-47 .0045 .0044 .0043 .0041 .0040 0039 10038 1037 0036 0.8 .7881 7910 7939 7967 .7995 .8023 -2.5 .00.62 3060 .0059 0057 10055 10054 0052 .0051 10049 .0048 0.9 .8159 8186 .8212 8238 .8264 8289 8315 .8340 8365 8389 -2.4 .0082 0078 0075 .0073 0071 10069 10066 0064 1.0 .8413 8438 8461 .8485 .8508 8531 8554 8577 .8599 8621 -2.3 .0107 .0104 .0102 .0099 0096 0094 10091 0089 0087 0084 1.1 .8643 8665 8686 .8708 .8729 8749 8770 8790 8810 -2.2 -0139 0136 .0132 0129 0125 0122 .0119 0116 0113 .0110 1.2 .8849 8860 .8888 .8907 .8925 .8944 .8962 8980 8997 9015 -2.1 .0179 0174 .0170 .0166 0162 0159 0154 0150 0146 -0143 1.3 .9032 9049 9066 .9082 .9099 .9115 9131 9147 9162 9177 -2.0 -0228 .0222 .0217 .0212 -0207 .0202 .0197 0192 .0183 -0183 1.4 .9192 9207 9222 .9236 .92519265 .9279 .9292 .9306 .9319 -1.9 .0287 0281 0274 .0268 0262 0256 0250 0244 0239 0233 1.5 .9332 .9345 .9357 .9370 9382 9394 9406 9418 9429 9441 -1.8 .0359 .0351 0344 1306 0329 10322 0314 0307 0301 0294 .9463 .9474 9484 .9495 9505 .9515 9545 1.6 .9452 .9525 .9535 .0436 .0427 0418 .0409 0401 10392 0384 0375 .0367 .9554 9564 9573 .9582 .9591 9599 9608 9616 9625 9633 -1.7 .0446 1.7 .0540 .0537 .0526 0516 0505 0495 0485 0475 0465 .0455 .9641 9649 9656 9664 9671 9678 9686 9693 9699 9706 -1.6 1.8 -1.5 .06.68 .0655 .0643 .0630 0618 0594 0582 10571 -0559 1.9 .9713 9719 .97 26 9732 .9738 9744 9750 9756 9761 97 67 -1.4 .0808 .0793 .07 78 0764 0749 0735 0721 0708 .0694 .0681 2.0 .9772 9778 9783 .9788 .9793 9798 9803 .9808 .9812 .9817 -1.3 .0968 .0951 0934 0918 .0901 0885 0869 0853 0838 0823 2.1 .9821 .9830 9834 .9838 9842 .9846 9850 9854 9857 -1.2 .1151 .1131 1112 .1093 1075 1056 .1038 .1020 .1003 .0985 .9861 9868 .9871 .9875 9878 .9681 9884 9887 9… Show more… Show more    Math Statistics and Probability NS22 HSCI 190 Share QuestionEmailCopy link Comments (0)