11)

A sample tested the claim that heights oi men and heights ot women have diiterence variances, with s = 7.41435 cm for women and 7.15449 cm for men. The sample sizes are HI = 145 and n2 = 151. When using the F test with these data, is it correct to reason that there is no need to check for normalityr because rII > 30 and n2 >30? c:> Choose the correct answer below. 0 A. No. There is no need to check tor normality as long as n121U and n2 21D. 0 B. No. The F test has a requirement that samples be from normally distributed populations, regardless oi how large the samples are. C) C. Yes. The F test has a requirement that samples be from normally distributed populations, but this requirement can be ignored tor large samples {n1 and n2 greater than 30]. C) D. No. There is no need to check for normality regardless of the sample size. There is no normality requirement for the F test. Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 23 people who drank ethanol and another group of 23 people given a placebo. The errors for the treatment group have a standard deviation of 2.40, and the errors for the placebo group have a standard deviation oi 0.86. Assume that the two populations are normally distributed. Use a 0.05 signicance level to test the claim that both groups have the same amount of variation among the errors. E) Let sample 1 be the sample with the larger sample variance. and let sample 2 be the sample with the smaller sample variance. What are the null and alternative hypotheses? OA' HD:o=o 03' \"0353:\": 2 2 2 2 H1111 2'02 H1:o179(:r2 O C' Hmoao: O '1 H03\": :5: . 2- 2 _ 2 2 H1111 0'2 H1151\":2 13. The accompanying data table contains chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Complete parts (a) and (b) below. MyLab Statisti Click the icon to view the table of chest deceleration measurements My Courses Click the icon to view the table of analysis of variance results a. What characteristic of the data specifically indicates that one-way analysis of variance should be used? Course Home Assignments O A. The population means are approximately normal. O B. There are three samples of measurements Student Gradebook O C. The measurements are categorized according to the one characteristic of size. StatCrunch D. Nothing specifically indicates that one-way analysis of variance should be used. eText Contents b. If the objective is to test the claim that the three size categories have the same mean chest deceleration, why is the method referred to as analysis of variance? Video and Resource Library O A. The method is based on showing that the population variances are similar. O B. The method is based on showing that the population variances are different. O C. The method is based on estimates of multiple varying population variances O D. The method is based on estimates of a common population variance. 1: More Info Chest Deceleration Measurements (g) from a Standard Crash Test Small 44 39 37 54 39 44 42 Midsize 36 53 43 42 52 49 41 Large 32 45 41 38 37 38 33 2: More Info PSS Results Sum of Squares df Mean Square F Sig. Between Groups 200.857 2 100.429 3.288 0.061 Within Groups 549.714 18 30.540 Total 750.571 2014. The accompanying data table lists measured amounts of chest compression (mm) from car crash tests. Also shown are the SPSS results from analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different car sizes have the same mean amount of chest compression. Click here to view the table of chest deceleration measurements. ' Click here to view the table of analysis of variance results.2 the value of the test statistic? The test statistic is (Round to two decimal places as needed.) What distribution is used with the test statistic? The (1) . -distribution is used. 1: Chest Deceleration Measurements mal 29 31 35 33 32 26 25 34 26 34 Midsize 32 26 23 IT N 28 29 26 20 22 Large 27 32 39 27 26 34 34 26 31 SUV 24 31 31 25 39 22 33 34 35 26 2: ANOVA results ANOVA CHEST Sum of Squares df Mean Square F Sig. Between Groups 223.750 /4.583 3.815 016 Within Groups 860.167 44 19.549 Total 1083.917 (1) 0 O O tPrint 15. The accompanying table shows the wait times (minutes) from six rides located in three different Walt Disney World theme parks. Wait times were reported by Disney and wait times at 10 AM and 5 PM were recorded on 50 different days (five rows art in the accompanying table). Use the 10 AM wait times for Space Mountain, Rock 'n' Roller Coaster, Tower of Terror, and Flight of Passage. Use a 0.05 significance level to test the claim that the four rides have the same mean wait time at 10 AM. Click the icon to view the data table of wait times. Determine the null hypothesis. Ho : (1 ) Determine the alternative hypothesis. Hy : ( 2 ) Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.) What can you conclude? There (3) sufficient evidence at a 0.05 significance level to warrant rejection of the claim that the four rides have (4) mean wait time(s). 1: Disney World Wait Times SMALL SMALL ROCKN ROCKN TOWER TOWER FLIGHT FLIGHT NAVI NAVI SPACE MT SPACE MT WORLD WORLD ROLLER ROLLER TERROR TERROR PASSAGE PASSAGE RIVER RIVER 10AM 5PM 10AM 5PM 10AM 5PM 10AM 5PM 10AM 5PM 10AM 5PM 50 75 15 20 65 60 50 35 180 95 75 80 30 70 10 25 65 60 45 25 150 125 50 80 105 110 20 75 140 105 75 90 180 175 130 120 20 40 5 10 20 35 15 10 105 55 50 40 30 35 15 10 50 85 60 65 135 45 135 105 (1) O Hy = H2 = H3 = H4 O All of the means are different (2) O At least one of the means is different from the others O All of the means are different (3) O is (4) O the same O At least one of the means is different from the others O Hy > H2 > H3 > H4 O is not O different O H1 = H2 = H3 = H4 O H1 = H2 = H3 = H4 O Hy > H2 > H3 > H4 OHy = H2 = H3 = H4Student: John Hooth Instructor: Petal Sumner Assignment: Go - Graded Week 6 Homework Print Date: 08/09/22 Course: STAT 200 6983 Introduction to Statistics 16. The accompanying data table lists results from car crash tests. Included in results from car crash tests are loads (pounds) on the left femur and right femur, and those values are shown in the table below. What characteristic of the data suggests that the appropriate method of analysis is two-way analysis of variance? That is, what is "two-way" about the data entered in the table? Click on the icon to view the data table. Choose the correct answer below. O A. There are two possiblities for the femur, either left or right. O B. The load values are categorized using two different factors of femur (left or right) and size of car (small, midsize, or large). O C. The data is measured in pounds, part of the imperial system, which is inherently two-way. O D. In this case, the appropriate method of analysis is not two-way analysis of variance. 1: Car Crash Test Data Small Midsize Large 1189 398 215 289 315 1640 329 303 736 Left Femur 709 296 879 Left Femur 604 814 942 246 281 878 336 412 474 1259 845 755 323 712 1201 448 Right 133 770 1052 552 Right Femur Femur 235 1469 687 672 1048 905 557 454 548 290 Small Midsize Large17. The accompanying table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of a large reputable study. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude? Click the icon to view the data and two-way analysis of variance results. First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Distances between pupils are not affected by gender. Hy : Distances between pupils are affected by gender. O B. Ho: Distances between pupils are not affected by handedness. Hy: Distances between pupils are affected by handedness O C. Ho: Distances between pupils are not affected by an interaction between gender and handedness. Hy: Distances between pupils are affected by an interaction between gender and handedness O D. Ho: Distances between pupils are affected by an interaction between gender and handedness Hy: Distances between pupils are not affected by an interaction between gender and handedness. Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.) Determine the proper conclusion at the 0.05 significance level. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness O B. Reject Ho. There is sufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness. O C. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness O D. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handednessIf appropriate, test for an effect from the row factor. Choose the correct answer below. O A. Ho: Left-handed people and right-handed people have the same population mean distance between pupils. Hy: Left-handed people and right-handed people have different population mean distances between pupils. O B. Ho: Men and women have different population mean distances between pupils. Hy: Men and women have the same population mean distance between pupils. O C. Ho: Left-handed people and right-handed people have different population mean distances between pupils. Hy: Left-handed people and right-handed people have the same population mean distance between pupils. O D. Ho: Men and women have the same population mean distance between pupils. Hy: Men and women have different population mean distances between pupils. O E. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the test statistic. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The test statistic is (Round to two decimal places as needed.) O B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the P-value. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The P-value is (Round to three decimal places as needed.) O B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the proper conclusion at the 0.05 significance level. Choose the correct answer below. O A. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. Gender does not appear to have an effect on distance between pupils. O B. Reject Ho. There is sufficient evidence to support the alternative hypothesis. Gender appears to have an effect on distance between pupils. O C. Reject Ho. There is sufficient evidence to support the alternative hypothesis. Handedness appears to have an effect on distance between pupils O D. Fail to reject Ho- There is insufficient evidence to support the alternative hypothesis. Handedness does not appear to have an effect on distance between pupils. O E. This test is not appropriate due to the results of the test for interaction between the two factorsIf appropriate, test for an effect from the column factor. Choose the correct answer below. O A. Ho: Men and women have the same population mean distance between pupils. Hy: Men and women have different population mean distances between pupils. O B. Ho: Left-handed people and right-handed people have different population mean distances between pupils. Hy: Left-handed people and right-handed people have the same population mean distance between pupils O C. Ho: Men and women have different population mean distances between pupils. Hy : Men and women have the same population mean distance between pupils. O D. Ho: Left-handed people and right-handed people have the same population mean distance between pupils. Hy : Left-handed people and right-handed people have different population mean distances between pupils. O E. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the test statistic. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The test statistic is Round to two decimal places as needed.) O B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the P-value. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The P-value is (Round to three decimal places as needed.) O B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the proper conclusion at the 0.05 significance level. Choose the correct answer below. O A. Fail to reject Ho- There is insufficient evidence to support the alternative hypothesis. Gender does not appear to have an effect on distance between pupils. O B. Reject Ho. There is sufficient evidence to support the alternative hypothesis. Handedness appears to have an effect on distance between pupils. O C. Reject Ho- There is sufficient evidence to support the alternative hypothesis. Gender appears to have an effect on distance between pupils. O D. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. Handedness does not appear to have an effect on distance between pupils. O E. This test is not appropriate due to the results of the test for interaction between the two factors. 1: Data and Two-Way ANOVA Results Right-Handed Left-Handed Female 66 65 59 58 55 71 64 62 70 64 Male 65 62 68 69 70 68 68 63 66 6418. The accompanying table lists body temperatures (in F) obtained from randomly selected subjects. Using a 0.05 significance level, test for an interaction between gender and smoking, test for an effect from gender, and test for an effect from smoking. What do you conclude? 1 Click the icon to view the body temperature data. First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Body temperatures are not affected by gender. Hy: Body temperatures are affected by gender. O B. Ho: Body temperatures are not affected by an interaction between gender and smoking. Hy: Body temperatures are affected by an interaction between gender and smoking. O C. Ho: Body temperatures are affected by an interaction between gender and smoking. Hy : Body temperatures are not affected by an interaction between gender and smoking. O D. Ho: Body temperatures are not affected by smoking. H,: Body temperatures are affected by smoking. Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.) Determine the proper conclusion at the 0.05 significance level. Choose the correct answer below. O A. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and smoking. O B. Reject Ho- There is sufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and smoking. O C. Fail to reject Ho- There is insufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and smoking. O D. Reject Ho- There is sufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and smoking. If appropriate, test for an effect from gender. Choose the correct answer below. O A. Ho: Men and women have the same population mean body temperature. Hy: Men and women have different population mean body temperatures. O B. Ho: Smokers and non-smokers people have different population mean body temperatures. Hy: Smokers and non-smokers people have the same population mean body temperature. O C. Ho: Smokers and non-smokers have the same population mean body temperature Hy: Smokers and non-smokers people have different population mean body temperatures. O D. Ho: Men and women have different population mean body temperatures. Hy : Men and women have the same population mean body temperature. O E. This test is not appropriate due to the results of the test for interaction between the two factors.If appropriate, determine the test statistic. Select the correct choice below and, if necessary, ll in the answer box within your choice. O A- The test stasc is (Round to two decimal places as needed.) O B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the P-value. Select the correct choice below and, it necessary, ll in the answer box within your choice. 0 A- The Pvalue is |:|. (Round to three decimal places as needed.) 0 B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the pro per conclusion at the [[05 signicance level. Choose the comect answer below. 0 A. Reject \"0- There is sutcient evidence to support the alternative hypothesis. Smoking appears to have an ettect on body temperature. 0 B. Fail to reject HD- There is insufficient evidence to support the alternative hypothesis. Gender does not appear to have an eect on body temperature. 0 C. Fail to reject Ho. There is insufcient evidence to support the alternative hypothesis. Smoking does not appear to have an effect on body temperature. C D. Reject \"0- There is sufcient evidence to support the altemative hypothesis. Gender appears to have an effect on body temperature. 0 E. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, test for an effect from smoking. Choose the correct answer below. 0 A. HD: Men and women have the same population mean body temperature. HI: Men and women have different population mean body temperatures. 0 B. HD: Smokers and nonsmokers have different population mean body temperatures. HI: Smokers and nonsmokers have the same population mean body temperature. C C. HD: Men and women have different population mean body temperatures. H1: Men and women have the same population mean body temperature. C D. HD: Smokers and nonsmokers have the same population mean body temperature. H1: Smokers and non-smokers have different population mean body temperatures. 0 E. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the test statistic. Select the correct choice below and, if necessary, ll in the answer box within your choice. 0 A- The test statistic is :l. (Round to two decimal places as needed.) 0 B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the Pvalue. Select the correct choice below and, it necessary, ll in the answer box within your choice. 0 A- The Pvalue is |:|. (Round to three decimal places as needed.) 0 B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the P-value. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The P-value is (Round to three decimal places as needed.) O B. This test is not appropriate due to the results of the test for interaction between the two factors. If appropriate, determine the proper conclusion at the 0.05 significance level. Choose the correct answer below. O A. Reject Ho- There is sufficient evidence to support the alternative hypothesis. Smoking appears to have an effect on body temperature. O B. Reject Ho- There is sufficient evidence to support the alternative hypothesis. Gender appears to have an effect on body temperature. O C. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. Smoking does not appear to have an effect on body temperature. O D. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. Gender does not appear to have an effect on body temperature. O E. This test is not appropriate due to the results of the test for interaction between the two factors. 1: Body Temperature Data Smokes Does not smoke Female 98.7 97.6 98.1 98.4 98.5 97.8 97.9 96.9 Male 97.9 98.4 98.3 98.8 97.6 98. 1 98.3 99.1'i. In a large clinical trial, 394,295 children were randomly assigned to two groups. The treatment group consisted of 1E5,BT1 children given a vaccine for a certain disease and 35 of those children developed the disease. The other 198,424 children were given a placebo, and 134 of those children developed the disease. Consider the vaccine treatment group to he The rst sample. Identifyr the values of n1, 5,, 31, Hz, 32, 32, p and g. "1:: 31:: [Type an integer or a decimal rounded to eight decimal places as needed]