8. Chapter 10, Section 10.2, Problem 14 Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap. Is the younger generation really better educated? Large surveys of people age 65 and older were taken in ny 32 U.S cities. The sample mean for these cities showed that R1 15.2% of the older adults had attended college. Large surveys of young adults (ages 25-34) were taken in n2 35 U.S. cities. The sample mean for these cities showed that 19.7% of the young adults had attended college. From previous studies, it is known that σ 7.2% and ơ2-5.2% (Reference: American Generations by s. Mitchel). Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a -0.05 What is the level of significance? Level of significance State the null and alternate hypotheses Ху Check Requirements. What sampling distribution will you use? Why? You will use distribution with and Compute 회-82 and the sample test statistic. Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding to the P-value shaded? Which of the following is a correct sketch of the sampling distribution, with the area corresponding to the P-value Οι O c Find (or estimate) the P-value. Distribution tables are provided at the end of this problem. O 0.050 < P-value < 0.100 O 0.001 < P-value < 0.010 O P 0.0036 O P 0.0018 Based on your answers, will you reject or fail to reject the null hypothesis? You the null hypothesis because Interpret your conclusion in the context of the application. At the 5% level of significance, the evidence college is sufficient to show that the mean percentage who attended in the population of young adults than in the population of older adults Standard Normal Distribution Student's t Distribution Probabilities Left of z 3.5 <zs-2.0 -2.0 <zs0 osz2.0 2.0 s z <3.5 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 0.5239 0.5279 0.5319 0.5359 0.5398 | 0.5438 | 0.5478 | 0.5517 | 0.5557 | 0.5s96 | os636 | as675 | 0.5714 | 0.575d 0.2 0.5793 0.5832 0.5871 0.5910 05948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 | 0.6179 | 0.6217 | 0.6255 | 0.6293 | 0.6331 | 0.6368 | O-6406 | 06443 | Одао | oss 17 0.1 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 O P 0.0018 Based on your answers, will you reject or fail to reject the null hypothesis? the null hypothesis because You Interpret your conclusion in the context of the application. At the 5% level of significance, the evidence sufficient to show that the mean percentage who attended in the population of young adults than in the population of older adults. college is Student's t Distribution Standard Normal Distribution Probabilities Left of z 3.5<zS-2.O 0.05 | 0.06 | 0.07 0.08 0.09 0.00 o 0.5000 0.504 o.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.01 0.02 0.03 0.04 o.0 0.5398 0.5438 0.5478 0.5517 0.55570.5596 0.56360.5675 0.5714 0.5753 0.1 0.57930.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.6179 | 0.62 17 | 0.6255 | 0.6293 | 0.6331 | 0.6368 | 0.6406 | 0.6443 0.6480 | 0.6517 0.2 0.3 0.6554 0.6591 0.6628 0.6664 0.6700 0.67360.6772 0.6808 0.6844 0.6879 0.691 5 10.6950 l 0.6985 | 0.7019 О.7054 0.7088 | 0.7123 I 0:7157 0.7190 O.7224 0.4 o.5 0.7257 | 0.7291 | 0.7324 | 0.7357 | 0.7389 | 0.7422 | 0.7454 | 0.7486 | 0.75 1 7 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 07704 0.7734 O.7764 0.7794 0.7823 0.7852 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.84 1 3 0.B438 | 0.8461 | Ο.B485 | О.8508 | 0.8531 | 0,85S4 | 0.8577 | 0.8599 | 0.8621 1.0 1.1 0.8643 | 0.8665 | 0.8686 | 0.8708 | 0.8729 | 0.8749 | 0.8770 | 0.8790 | 0.8810 | 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.91620.9177 1.4 0.9192 | 0.9207 | 0.9222 | 0.9236 | 0.9251 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 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.95910.9599 0.9608 0.9616 0.96250.9633 1.6 1.7 1.8 0.964 1 | 0.9649 | 0.9656 | 0.9664 | 0.9671 | 0.9678 | 0.9686 | 0.9693 | 0.9699 | 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 Level of significance = State the null and alternate hypotheses. μι Chel Ha You wiir use irements. What sampling distribution will you use? Why? distribution with because and 1-父2 and the sample test statistic. Compute sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area correspor shaded? 0 0 0 0 Find (or estimate) the P-value. Distribution tables are provided at the end of this problem 0.050 < P-value < 0.100 0.001 < P-value so0.010 We were unable to transcribe this imageWhat is the level of significance? Level of significance State the null and alternate hypotheses. Ho: Check Requirements. What samping distribution will you use? Why? You will use distribution with no , and the standard normal Student's t a Poisson Compute R1 7 a one sampe cesd statistic. 1-82 Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding to shaded? 0 O G Ос Find (or estimate) the P-value. Distribution tables are provided at the end of this problem Q 0.050 < P-value < 0.100 We were unable to transcribe this imageWhat is the level of significance? Level of significance State the null and alternate hypotheses Ho: 0.6 Check Requirements. What sampling distribution u2 Se? Why? You will use and Compute R1-82 and the sample test statistic Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding Find (or estimate) the P-value. Distribution tables are provided at the end of this problem O 0.050 < P-value < 0.100 0.001 < P-value < 0.010 What is the level of significance? Level of significance State the null and alternate hypotheses. Ho: Requts. What sampling distribution will you use? Why? Check You will use distribution with because , and Compute 81 -82 and the sample test statistic. Sample test statistic a Which of the following is a correct sketch of the sampling distribution, with the area correspondi shaded? 0 z 0 Find (or estimate) the P-value. Distribution tables are provided at the end of this problem. O 0.050 < P-value < o.100 0.001s P-val ue < 0.010 What is the level of significance? Level of significance State the null and alternate hypotheses. Hy: Ho: Check Requirements. What sampling distribution will you use? Why?A You will use distribution with no condition on d.f Compute 81-82 and the sample test statistic. 1-82 Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding to t shaded? 0 0 O G Find (or estimate) the P-value. Distribution tables are provided at the end of this problem. O 0.050 < P-value <0.100 0.001 c P-value < 0.010 What is the level of significance? Level of significance- State the null and alternate hypothes : Hi ibution will you use? Why? Check Requirements. What sampli distribution with You will use and Compute R1-82 and the sample test statistic 1-82 Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding shaded? 0 Find (or estimate) the P-value. Distribution tables are provided at the end of this problem O 0.050< P-value < 0.100 What is the level of significance? Level of significance State the null and alternate hypotheses Ho: Hy: 4.5 4.5 Check Requirement n P2 ampling distribution will you use? Why? distribution with You will use , and Compute 81-82 and the sample test statistic R1-R2 = Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding shaded? Find (or estimate) the P-value. Distribution tables are provided at the end of this problem 0 0.050 < P-value < 0.100 c p-value < 0.010 Level of significance State the null and alternate hypotheses. Ho: Check Requirements. What sampling distribution will you use? Why? You will use distribution with because and Compute 81 -82 and the sample test statistic. 4.5 Sample te 15.2 19.7 sketch of the sampling distribution, with the area corresponding to th shaded? 0 Find (or estimate) the P-value. Distribution tables are provided at the end of this problem. O 0.050 < P-value<0.100 0.001 c P-value < 0.010 O I O G O c Find (or estimate) the P-value. Distribution tables are provided at the end of this problem O 0.050 < P-value <0.100 O 0.001< P-value< 0.010 P~ 0.0036 O P 0.0018 Based on your answers, will you reject or fail to reject the nul hypothesis? the null hypothesis because You P-value α Interpret your condusion in the context of the a At the 5% level of significance, the evidence college is P-value> α sumcrent to show that the mean percentage w in the population of young aduits than in the population of older adults. Standard Normal Distribution Probabilities Left of z 3.5 <zs -2.0 -2.0 <zso 0.00 o.01 0.02 0.030.04 o.05 o.06 0.07 000.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.3 0.6179 0.6217 0.62550.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.4 | О.65S4 | 0.6591 | 0.6628 | 0.6664 | О.6700 | 0.6736 | 0.6772 | 0.6808 O.6844 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.157 0.7190 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.8 : 0.7881 0.79 1007939 0.7967 0.7995 0.8023 о.sosro.8078. 0.3106 | 0.8159 | 0.8186 | 0.8212 | 0.8238 | 0.8264 | 0.8289 | 0.8315 08340 | 0.6365 0 z< 2.0 2.0sz 0.9 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 1.0 Level of significance State the null and alternate hypotheses Ho: Check Requirements. What sampling distribution will you use? Why? You will use distributkin with and nq>5 the population distributions are normal or mound-shaped n 2 30 n1 2 30 and n2 2 30 Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding to t shaded? O G Find (or estimate) the P-value. Distribution tables are provided at the end of this probiem. 0 0.050 <P-value <0.100 0.001 < Pavalue < 0.010 Find (or estimate) the P-value. Distribution tables are provided at the end of this problem. O 0.050 < P-value <0.100 O 0.001 P-value<0.010 O P 0.0036 O P 0.0018 Based on your answers, will you reject or fail to reject the null hypothesis? u the null hypothesis because You reject fail to reject Interpret your conclusion in the context of the application. At the 5% level of significance, the evidence sufficient to show that the mean percentage wh in the population of young adults than in the population of older adults college is l Distribution Student's t Distribution Standard Normal -2.0<zso Probabilities Left of z 3.5 <zs-2.0 0 sz< 2.0 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 o.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.52390.5279 0.5319 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.2 | 05793 | 0.5832 | 0.5871 | 0.59 10 | 05948 | 0.5987 | 0.5026 | 0.6064 | 0.6103- 0.3 | 0.6179 | 0.62 17 | O.6255 | 0.6293 | 0.6331 | О.6368 | 0.6406 | 0.6443 0.6480 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 . 7088To.71 23 .7157 T .7190 | 0.6915 | 0.6950 | 0.6985 0.7019 | 0.70s4 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7 | 0.7580 | 0.7611 | 0.7642 | 0.7673 | 0.7704 0.7734 | 0.7764 | 0.7,94 l O'323 l 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.9 0.8159 0.8186 0.8212 0.8238 0,8264 0.8289 0.8315 0.8340 0.8365 577 O RsOg 0.8599 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8 1.0 We were unable to transcribe this imageCompute R1-82 and the sample test statistic. Sample test statistic a 1.881 -2.909 4.500 Which of the following2.750 ketch of the sampling distribution, with the area corresponding to -2.750 shaded? 0 Z O A O c Find (or estimate) the P-value. Distribution tables are provided at the end of this problem O 0.050 < P-value< 0.100 O 0.001 < P-value < o.010 O P 0.0036 P= 0.0018 Based on your answers, will you reject or fail to reject the null hypothesis? the null hypothesis because You Interpret your conclusion in the context of the application Level of significance = State the null and alternate hypotheses. Ho: Hj Check Requirements. What sampling distribution will you use? Why? distribution with because You will use , and s1 and s2 are unknown ơ is known 01 and oz are known p1 and p2 are unknown Compute R1 -82 and the sample test statistic. Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding to t shaded? 0 91 Find (or estimate) the P-value. Distribution tables are provided at the end of this problem O 0.050 < P-value < 0.100 P-value < 0.010 0.001 O G Find (or estimate) the P-value. Distribution tables are provided at the end of this problem. 0.050< P-value <0.100 O 0.001 < P-value<0.010 0.0036 O P 0.0018 Based on your answers, will you reject or fail to reject the null hypothesis? You the null hypothesis because. Interpret your conclusion in the context of the application At the 5% level of significance, the evide0e sufficient to show that the mean percentage who in the population of young adults than in the population of older adults college is no different different higher lower tandard Normal Distribution Student's t Distribution -3.5 -2.0-2.0 Probabilities Left of z s。 o sz< 2.0 2.0S2 z o.05 o.06 0.07 0.08 o.o 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714. 0.2 0.5793 | 0.5832 | 0.5871 | 0.5910 | 0.5948 .5987 | 0.5026 .6064 | 0.6103 0.3 0.6179 0.6217 0.625 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.00 0.01 0.02 0.03 0.04 0.0s 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0 0.7 | 0.7580 | 0.7611 | 0.7642 | 0.7673 | 0.7704 | 0.7734 | 0.7764 | 0.7794 0.7823 | O 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.9 | 0.8159 | 0.8186 | 0.8212 | 0.8238 | 0.8264 | 0.8289 | 0.8315 08340 | 0.8365 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 o. 1.0 8. Chapter 10, Section 10.2, Problem 14 Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap. Is the younger generation really better educated? Large surveys of people age 65 and older were taken in ny 32 U.S cities. The sample mean for these cities showed that R1 15.2% of the older adults had attended college. Large surveys of young adults (ages 25-34) were taken in n2 35 U.S. cities. The sample mean for these cities showed that 19.7% of the young adults had attended college. From previous studies, it is known that σ 7.2% and ơ2-5.2% (Reference: American Generations by s. Mitchel). Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a -0.05 What is the level of significance? Level of significance State the null and alternate hypotheses Ху Check Requirements. What sampling distribution will you use? Why? You will use distribution with and Compute 회-82 and the sample test statistic. Sample test statistic Which of the following is a correct sketch of the sampling distribution, with the area corresponding to the P-value shaded? Which of the following is a correct sketch of the sampling distribution, with the area corresponding to the P-value Οι O c Find (or estimate) the P-value. Distribution tables are provided at the end of this problem. O 0.050