MA 132B Spring 2021 Online Homework: Section 11.2 . Save Score: 0.75 of 1 pt 3 of 8 (5 complete) HW Score: 56.25%, 4.5 of ... x 11.2.10-T Question Help 0 A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6 Date 1/25 3/195/30 7/3 9/13 11/7 Initial Depth, X 47.4 37.1 63.7 68.7 52.8 73.5 Depth Five Years Later, Y 44.8 37.9 60.9 69.6 48.6 75.9 a) Why is it important to take the measurements on the same date? OA. A. Using the same dates maximizes the difference in water clarity. & B. B. Using the same dates makes the second sample dependent on the first and reduces variability in water clarity attributable to date. O C. Those are the same dates that all biologists use to take water clarity samples. D. Using the same dates makes it easier to remember to take samples. b) Does the evidence suggest that the clarity of the lake is improving at the a = 0.05 level of significance? Note that the normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Let d; = X; -Y. Identify the null and alternative hypotheses. Click to select your answer and then click Check Answer. ? All parts showing Clear All Final Check Be APR 12 all 280 tv G K и c 1x 11.2.10-T Question Help A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6 Date 1/25 3/19 5/30 7/3 9/13 11/7 Initial Depth, X 47.4 37.1 63.7 68.7 52.8 73.5 Depth Five Years Later, Y 44.8 37.9 60.9 69.6 48.6 75.9 Ho Hd 0 H₂ Hd < 0 (Type integers or decimals. Do not round.) Determine the test statistic for this hypothesis tesh 0.86 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. P-value = 0.784 (Round to three decimal places as needed.) What is your conclusion regarding Ho? Do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that Click to select your answer and then click Check Answer. ? All parts showing Clear All Final Check APR 96 . 12 tv I 280) 기 7 – C G Search or type URL @ # $ % Score: 0.75 of 1 pt 3 of 8 (5 complete) 0 HW Score: 56.25%, 4.5 of ... x 11.2.10-T Question Help Nam Due: A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6 Date 1/25 3/195/30 7/3 9/13 11/7 Initial Depth, X 47.4 37.1 63.7 68.7 52.8 73.5 Depth Five Years Later, Y 44.8 37.9 60.9 69.6 48.6 75.9 Last! Curre Attem c) Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part b)? Late Penalt Choose the correct graph below. O A. B. C. OD. Ques - Score Corra T 1 -3 6 -3 0 Difference 6 0 Difference -3 6 -3 0 Difference 6 0 Difference Does this visual evidence support the results obtained in part b)? Click to select your answer and then click Check Answer. ? All parts showing Clear All Final Check Hypoth APR 900 12 átv c 280 k с G Search or type URL ☆ 持 3 EA T SOLO 2 og i 4 6 QWERTY U A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6 Date 1/25 3/195/30 7/3 9/13 11/7 Initial Depth, X 47.4 37.1 63.7 68.7 52.8 73.5 Depth Five Years Later, Y 44.8 37.9 60.9 69.6 48.6 75.9 D. Using the same dates makes it easier to remember to take samples. b) Does the evidence suggest that the clarity of the lake is improving at the a= 0.05 level of significance? Note that the normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Let d; = X; - Y;. Identify the null and alternative hypotheses. II Ho: Ho 0 < H₂ Hd 0 (Type integers or decimals. Do not round.) Determine the test statistic for this hypothesis test. 0.86 (Round to two decimal places as needed.) Click to select your answer and then click Check Answer. ? All parts showing Clear All Final Check C APR 1 280 12 o tv so E → C G Search or type URL @ # $ % 1 2 3 4. 5 6 Save N Score: 0 of 1 pt 4 of 8 (5 complete) HW Score: 57.29%, 4. 11.2.11-T Question Help o To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a= 0.025 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the table of data. Which conditions must be met by the sample for this test? Select all that apply. M A. The differences are normally distributed or the sample size is large. B. The sampling method results in a dependent sample. C. The sampling method results in an independent sample. D. The sample size is no more than 5% of the population size. :) E. The sample size must be large. e ar SP nn nie Click to select your answer(s) and then click Check Answer. ? W 4 parts remaining Clear All Check Answer P APR 12 tv s 280 eir fathers, a student randomly selects 13 fathers w ve adult male children. She records the height of both the father and son in inches and obtai owina data. Are sons taller than their fathers? Use the o= 0.025 level of significance. Note: A i Table of height data Height of Height of Father, X e Son, Yi 67.9 67.9 73.1 70.1 70.8 73.2 67.8 69.2 69.7 68.1 68.8 67.3 67.1 72.8 71.4 75.5 71.8 72.0 73.9 67.9 68.6 68.5 66.3 66.3 63.8 62.2 Print Done k to select your answer(s) and then click Check Answer. parts emaining Clear All Check Answer APR 1 12 1280 tv Score: 0.33 of 1 pt 4 of 8 (6 complete) HW Score: 61.46%, 4 %) 11.2.11-T Question Help To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a= 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. : Click the icon to view the table of data. Which conditions must be met by the sample for this test? Select all that apply. A. The sampling method results in an independent sample. B. The sample size must be large. C. The differences are normally distributed or the sample size is large. D. The sampling method results in a dependent sample. CE. The sample size is no more than 5% of the population size. Let d; = Xi - Y;. Write the hypotheses for the test. Ho: Hi: Ho so Hd = 0 Hd > 0 Click Hd70 answer(s) and then click Check Answer. 3 parts Clear All Check Answer remaining ► APR 12 átvs S 230 normally distributed with no outllers. 3 Click the icon to view the table of data. Which conditions must be met by the sample for this test? Sele A. The sampling method results in an independent sample B. The sample size must be large. C. The differences are normally distributed or the samples D. The sampling method results in a dependent sample. E. The sample size is no more than 5% of the population s Let d; = X; -Y. Write the hypotheses for the test. Ho: Hy: Hd > 0 Hd = 0 Click Hd 70 answer(s) and then click Check Answer. Hd 50 pi re 3 Pie Clear All APR C. The differences are normally distributed or the sample size is (11 D. The sampling method results in a dependent sample. (0. E. The sample size is no more than 5% of the population size. (0) Let d; = X; - Y;. Write the hypotheses for the test. 7 (0) Ho: Md = 0 H₂ Hd с Search or type URL # % < & ☆ 3 A d 5 6 7 W E RT TY U Hy: Haco 1 Calculate the test statistic. 0. (0to = -0.07 (Round to two decimal places as needed.) (0) Calculate the P-value. P-value = 0.473 (Round to three decimal places as needed.) Should the null hypothesis be rejected? Ho because the P-value is the level of significance. There onclude that sons their fathers at the 0.05 leve Reject Do not reject С iswer(s) and then click Check Answer. 32B S vacy P All parts showing Clear All Check Answer APR 12 otvo S 280 ㅋ C Search or type URL a $ Л & 2 w # COLO 4 6 7 Calculate the test statistic. o to = -0.07 (Round to two decimal places as needed.) I Calculate the P-value. P-value = 0.473 (Round to three decimal places as needed.) Should the null hypothesis be rejected? Ho because the P-value is the level of significance. There sufficient evidence to conclude that sons their fathers at the 0.05 level of significance. greater than less than 2BS Click to select your answer(s) and then c ? су Р All parts showing Clear All Check Answer APR 280 12 tv so S → C G Search or type URL @ # 3 EA T DO LO 4 & < CC 7 W E R T Y U Moro ulate the test statistic. -0.07 (Round to two decimal places as needed.) culate the P-value. alue = 0.473 (Round to three decimal places as needed.) ould the null hypothesis be rejected? Ho because the P-value is the level of significance. There Show ec fficient evidence to conclude that sons their fathers at the 45 significance. is De is not ick to select your answer(s) and then click Check Answer. I parts showing Clear All Check Answer APR 280 12 OO étv N C G Search or type URL # 3 A EA T & ОЛbe 4. * 6 7 ६ C vampic Let d; = x; -Y. Write the hypotheses for the test. by 1 r6a Ho Hd = 0 Hy: Mo $ 4 & 5 6 7 W E R T Y Save Score: 0 of 1 pt 7 of 8 (7 complete) ► HW Score: 82.29%, 6.... 11.2.5-T Question Help v 8 In an experiment, 19 babies were asked to watch a climber attempt to ascend a hill. On two occasions, the baby witnesses the climber fail to make the climb. Then, the baby witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy, which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 1.29 seconds with a standard deviation of 1.83 seconds. Complete parts a through c. dit: 2 (a) State the null and alternative hypotheses to determine if babies tend to look at the hinderer toy longer than the helper toy. Let Hd = Hninderer - Hhelper, where Mhinderer is the population mean time babies spend watching the climber approach the hinderer toy and helper is the population mean time babies spend watching the climber approach the helper toy. 1 (1) r 3 (0. O A. Ho Hd > 0 He: Hd = 0 O B. Ho Hd = 0 5 (0) H:Hd < 0 O C. Ho: Hd 70 Hii Hd = 0 DS 7 (0) OD. Ho Ho 0 ed. 45p Det Click to select your answer and then click Check Answer. ? 32B S 4 parts wacy P remaining Clear All Check Answer APR 12 280 ty s Tall to make the climb. Then, the baby witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy, which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 1.29 seconds with a standard deviatior of 1.83 seconds. Complete parts a through c. longer than the helper toy. Let Hd = Hninderer - Helper, where Mhinderer is the population mean time babies spend watching the climber approach the hinderer toy and Phelper is the population mean time babies spend watching the climber approach the helper toy. B. Ho Hd = 0 O A. Ho: Ho > 0 H:Hd = 0 OD. Ho Ho 0 H:Hd = 0 H:Hd < 0 C. Ho Hd 70 H : Hd = 0 O E. Ho Hd = 0 H:Hd #0 YF. Ho Hd = 0 H1: Hd > 0 (b) Assuming the differences are normally distributed with no outliers, test if the difference in the amount of time the baby will watch the hinderer toy versus the helper toy is greater than 0 at the 0.01 level of significance. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. ? 3 parts remaining Clear All Check Answer APR 12 280 tv so MacBook Pro 7 с G Search or type URL ☆ 0 O A. Ho Hd > 0 Hy: Hd = 0 O D. Ho: Ho < 0 H:Hd = 0 B. Ho Hd = 0 H:Hd < 0 DE. Ho: Ho = 0 H:Hd 70 E .. o) (b) Assuming the differences are normally distributed with no outliers, tes amount of time the baby will watch the hinderer toy versus the helper toy 0) level of significance. Find the test statistic for this hypothesis test. 3.07 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. BS yp 2 parts remaining Clear All Ch APR 1 12 tv 280 nit, 19 bables were asked to watch a climber attempt to ascend a hill. On two occasions, the baby witnesses the climber fail to make the climb. Then, the baby witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy, which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 1.29 seconds with a standard deviation of 1.83 seconds. Complete parts a through c. Determine the P-value for this hypothesis test. 0.003 (Round to three decimal places as needed.) State the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence at the a = 0.01 level of significance to conclude that the difference is greater than 0. OB. Reject Ho. There is not sufficient evidence at the a = 0.01 level of significance to conclude that the difference is greater than 0. O C. Do not reject Ho. There is sufficient evidence at the a = 0.01 level of significance to conclude that the difference is greater than 0. O D. Do not reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that the difference is greater than 0. Click to select your answer and then click Check Answer. ? 1 part remaining Clear All Check Answer APR 12 tv 280 MacBook Pro → C G Search or type URL ☆ the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 1.29 seconds with a standard deviation of 1.83 seconds. Complete parts a through c. that the difference is greater than 0. OC. Do not reject Ho. There is sufficient evidence at the a = 0.01 level of significance to conclude that the difference is greater than 0. OD. Do not reject Ho. There is not sufficient evidence at the a = 0.01 level of significance to conclude that the difference is greater than 0. (c) What do you think the results of this experiment imply about babies' ability to assess surprising behavior? O A. There is not sufficient evidence that babies do not have the ability to assess surprising behavior. OB. There is not sufficient evidence that babies have the ability to assess surprising behavior. O C. There is sufficient evidence that babies have the ability to assess surprising behavior. OD. There is sufficient evidence that babies do not have the ability to assess surprising behavior. O E. The experiment does not imply anything about babies' ability to assess surprising behavior. S Click to select your answer and then click Check Answer. ? Р All parts showing Clear All Check Answer APR 12 tv s 280 MacBook Pro > С G Search or type URL ☆ # $ & 3 or do 4 6 7 Homework: Section 11.2 Save Score: 0.75 of 1 pt 6 of 8 (8 complete) HW Score: 94.79%, 7.. (x) 11.2.15 Question Help To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Complete parts (a) and (b). Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the data table. (a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment? O A. This is a good idea in designing the experiment because reaction times are different. B.. This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator. O C. This is a good idea in designing the experiment because the sample size is not large enough. Kb) Use a 95% confidence interval to test if there is a difference in braking time with impaired vision and normal vision where the differences are computed as "impaired minus normal." The lower bound is The upper bound is (Round to the nearest thousandth as needed.) Enter your answer in the edit fields and then click Check Answer. 1 part remaining Clear All Check Answer APR 1 12 tv 月 S on. For a random sample of nine teenagers, the time (in seconds) required to bring the v op from a speed of 60 miles per hour was recorded. Complete parts (a) and (b). normal probability plot and boxplot of the data indicate that the differences are approxim ly distributed with no outliers. مصممنمطیعلمنا via the data tabla i Data Table - X Х 20 8 Subject 1 2 3 4 5 6 7 9 Normal, X; 4.47 4.24 4.58 4.65 4.65 4.31 4.80 4.59 5.00 4.79 Impaired, Y; 5.86 5.67 5.51 5.32 5.83 5.49 5.23 5.63 5.63 Print Done per bound is to the nearest thousandth as needed.) ur answer in the edit fields and then click Check Answer. ining Clear All Check Answer APR 1 12 tv so 280 MacBook Pro
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