Solved: In Exercises 5 8, (a) find the expected frequency for each cell in the

In Exercises 1 4, (a) identify the expected distribution and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.A researcher claims that the distribution of the amounts that parents give for an allowance is different from the distribution shown in the pie chart. You randomly select 1103 parents and ask them how much they give for an allowance. The table shows the results. At a = 0.10, test the researchers claim. (Adapted from Echo Research) Survey results Response Frequency, f Less than $10 353 $10 to $20 167 More than $21 94 Dont give one/other 489

In Exercises 1 4, (a) identify the expected distribution and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.A researcher claims that the distribution of the lengths of visits at physician offices is different from the distribution shown in the pie chart. You randomly select 350 people and ask them how long their office visits with a physician were. The table shows the results. At a = 0.01, test the researchers claim. (Adapted from National Center for Health Statistics) 15 4% 61 and over 1% 3160 6% 1630 31% 610 24% 1115 34% Survey results Minutes Frequency, f 15 9 610 62 1115 126 1630 129 3160 23 61 and over 1

In Exercises 1 4, (a) identify the expected distribution and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.A sports magazine claims that the opinions of golf students about what they need the most help with in golf are distributed as shown in the pie chart. You randomly select 435 golf students and ask them what they need the most help with in golf. The table shows the results. At a = 0.05, test the sports magazines claim. (Adapted from PGA of America) Survey results Response Frequency, f Short-game shots 276 Approach and swing 99 Driver shots 42 Putting 18

In Exercises 1 4, (a) identify the expected distribution and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.An organization claims that the thoughts of adults ages 55 and over on which industry has the most trustworthy advertising is uniformly distributed. To test this claim, you randomly select 800 adults ages 55 and over and ask each which industry has the most trustworthy advertising. The table shows the results. At a = 0.05, test the organizations claim. (Adapted from Harris Interactive) Response Frequency, f Auto companies 128 Fast food companies 192 Financial services companies 112 Pharmaceutical companies 152 Soft drink companies 216

In Exercises 5 8, (a) find the expected frequency for each cell in the contingency table, (b) identify the claim and state H0 and Ha, (c) determine the degrees of freedom, find the critical value, and identify the rejection region, (d) find the chi-square test statistic, (e) decide whether to reject or fail to reject the null hypothesis, and (f) interpret the decision in the context of the original claim. If convenient, use technology.The contingency table shows the results of a random sample of public elementary and secondary school teachers by gender and years of full-time teaching experience. At a = 0.01, can you conclude that gender is related to the years of full-time teaching experience? (Adapted from U.S. National Center for Education Statistics) Years of full-time teaching experience Gender Less than 3 years 3 9 years 10 20 years 20 years or more Male 143 349 279 279 Female 328 825 673 624

In Exercises 5 8, (a) find the expected frequency for each cell in the contingency table, (b) identify the claim and state H0 and Ha, (c) determine the degrees of freedom, find the critical value, and identify the rejection region, (d) find the chi-square test statistic, (e) decide whether to reject or fail to reject the null hypothesis, and (f) interpret the decision in the context of the original claim. If convenient, use technology.The contingency table shows the results of a random sample of individuals by gender and type of vehicle owned. At a = 0.05, can you conclude that gender is related to the type of vehicle owned? Type of vehicle owned Gender Car Truck SUV Van Male 85 95 44 8 Female 110 73 61 4

In Exercises 5 8, (a) find the expected frequency for each cell in the contingency table, (b) identify the claim and state H0 and Ha, (c) determine the degrees of freedom, find the critical value, and identify the rejection region, (d) find the chi-square test statistic, (e) decide whether to reject or fail to reject the null hypothesis, and (f) interpret the decision in the context of the original claim. If convenient, use technology.The contingency table shows the results of a random sample of endangered and threatened species by status and vertebrate group. At a = 0.01, test the hypothesis that the variables are independent. (Adapted from U.S. Fish and Wildlife Service) Vertebrate group Status Mammals Birds Reptiles Amphibians Fish Endangered 162 143 38 17 45 Threatened 18 16 19 10 32

In Exercises 5 8, (a) find the expected frequency for each cell in the contingency table, (b) identify the claim and state H0 and Ha, (c) determine the degrees of freedom, find the critical value, and identify the rejection region, (d) find the chi-square test statistic, (e) decide whether to reject or fail to reject the null hypothesis, and (f) interpret the decision in the context of the original claim. If convenient, use technology.The contingency table shows the distribution of a random sample of fatal pedestrian motor vehicle collisions by time of day and gender in a recent year. At a = 0.10, can you conclude that time of day and gender are related? (Adapted from National Highway Traffic Safety Administration) Time of day Gender 12 a.m. 5:59 a.m. 6 a.m. 11:59 a.m. 12 p.m. 5:59 p.m. 6 p.m. 11:59 p.m. Male 657 591 905 940 Female 260 358 585 514

In Exercises 9 12, find the critical F-value for a right-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.a = 0.05, d.f.N = 6, d.f.D = 50

In Exercises 9 12, find the critical F-value for a right-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.. a = 0.01, d.f.N = 12, d.f.D = 10

In Exercises 9 12, find the critical F-value for a right-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.a = 0.10, d.f.N = 5, d.f.D = 12

In Exercises 9 12, find the critical F-value for a right-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.a = 0.05, d.f.N = 20, d.f.D = 25

In Exercises 1316, find the critical F-value for a two-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.a = 0.10, d.f.N = 15, d.f.D = 27

In Exercises 1316, find the critical F-value for a two-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.a = 0.05, d.f.N = 9, d.f.D = 8

In Exercises 1316, find the critical F-value for a two-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.a = 0.01, d.f.N = 40, d.f.D = 60

In Exercises 1316, find the critical F-value for a two-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.a = 0.01, d.f.N = 11, d.f.D = 13

In Exercises 1720, (a) identify the claim and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.An agricultural analyst is comparing the wheat production in Oklahoma counties. The analyst claims that the variation in wheat production is greater in Garfield County than in Kay County. A sample of 21 Garfield County farms has a standard deviation of 0.76 bushel per acre. A sample of 16 Kay County farms has a standard deviation of 0.58 bushel per acre. At a = 0.10, can you support the analysts claim? (Adapted from Environmental Verification and Analysis CenterUniversity of Oklahoma)

In Exercises 1720, (a) identify the claim and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.A travel consultant claims that the standard deviations of hotel room rates for San Francisco, CA, and Sacramento, CA, are the same. A sample of 36 hotel room rates in San Francisco has a standard deviation of $75 and a sample of 31 hotel room rates in Sacramento has a standard deviation of $44. At a = 0.01, can you reject the travel consultants claim? (Adapted from I-Map Data Systems LLC)

In Exercises 1720, (a) identify the claim and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.An instructor claims that the variance of SAT critical reading scores for females is different than the variance of SAT critical reading scores for males. The table shows the SAT critical reading scores for 9 randomly selected female students and 13 randomly selected male students. At a = 0.01, can you support the instructors claim? 574 C HAPTER 1 0 CHI-SQUARE TESTS AND THE F-DISTRIBUTION Female Male 480 600 560 310 610 800 680 730 340 360 740 630 530 520 520 380 560 690 460 400 540 630

In Exercises 1720, (a) identify the claim and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.A quality technician claims that the variance of the insert diameters produced by a plastic companys new injection mold for automobile dashboard inserts is less than the variance of the insert diameters produced by the companys current mold. The table shows samples of insert diameters (in centimeters) for both the current and new molds. At a = 0.05, can you support the technicians claim? New 9.611 9.618 9.594 9.580 9.611 9.597 Current 9.571 9.642 9.650 9.651 9.596 9.636 New 9.638 9.568 9.605 9.603 9.647 9.590 Current 9.570 9.537 9.641 9.625 9.626 9.579

In Exercises 21 and 22, (a) identify the claim and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. If convenient, use technology.The table shows the amounts spent (in dollars) on energy in one year for a sample of households from four regions of the United States. At a = 0.10, can you conclude that the mean amount spent on energy in one year is different in at least one of the regions? (Adapted from U.S. Energy Information Administration) Northeast Midwest South West 1896 1712 1689 1455 2606 2096 2256 1164 1649 1923 1834 1851 2436 2281 2365 1776 2811 2703 1958 2030 2384 2092 1947 1640 2840 1499 2433 1678 2445 2146 1578 1547

In Exercises 21 and 22, (a) identify the claim and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. If convenient, use technology.The table shows the annual incomes (in dollars) for a sample of families from four regions of the United States. At a = 0.05, can you conclude that the mean annual income of families is different in at least one of the regions? (Adapted from U.S. Census Bureau) REVIEW EXERCISES 575 Northeast Midwest South West 78,123 54,930 52,623 70,496 69,388 78,543 76,365 62,904 78,251 76,602 40,668 59,113 54,379 57,357 50,373 57,191 75,210 54,907 38,536 60,668 70,119 63,073 60,415 36,833