Suppose scores on a mathematics test have a mean 60 and standard deviation 20 while scores on an English test have a mean 60 and standard deviation 10. Bob gets 80 on both tests. a) On which test did Bob do better relative to his classmates? Explain. b) The scores on the tests each approximately follow a normal distribution and there are 50 students in each class How many students did better than Bob in each case?
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- Aaliyah and Lloyd began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Aaliyah took a test in Social Studies and earned a 79.8, and Lloyd took a test in Science and earned a 68.4. Use the fact that all the students' test grades in the Social Studies class had a mean of 74.1 and a standard deviation of 9.6, and all the students' test grades in Science had a mean of 60.9 and a standard deviation of 8.6 to answer the following questions. a) Calculate the z-score for Aaliyah's test grade. 2 = [Round your answer to two decimal places.] b) Calculate the z-score for Lloyd's test grade. 2 = [Round your answer to two decimal places.] c) Which person did relatively better? O Aaliyah O Lloyd O They did equally well.Suppose a researcher wants to test if the average diastolic blood pressure in African-Americans is different than the average diastolic blood pressure in the general population. Note that the average diastolic blood pressure in the general population is 70 mmHG. The researcher retains the null hypothesis, so she therefore concludes... Group of answer choices The mean diastolic blood pressure in African-Americans is equal to that of the general population The mean diastolic blood pressure in African-Americans is different than that of the general populationMiranda and Karla began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Miranda took a test in Social Studies and earned a 71.4, and Karla took a test in Art History and earned a 60.9. Use the fact that all the students' test grades in the Social Studies class had a mean of 75.3 and a standard deviation of 10.7, and all the students' test grades in Art History had a mean of 66.4 and a standard deviation of 10.3 to answer the following questions.a) Calculate the z-score for Miranda's test grade.z=b) Calculate the z-score for Karla's test grade.z=c) Which person did relatively better? Miranda Karla They did equally well.
- Rachael and Autumn began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Rachael took a test in English and earned a 81.8, and Autumn took a test in Math and earned a 63.6. Use the fact that all the students' test grades in the English class had a mean of 71.3 and a standard deviation of 11.4, and all the students' test grades in Math had a mean of 60.2 and a standard deviation of 8.3 to answer the following questions. a) Calculate the z-score for Rachael's test grade.z=z= b) Calculate the z-score for Autumn's test grade.z=z= c) Which person did relatively better? RachaelAutumnThey did equally well.Lloyd and Tara began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Lloyd took a test in Social Studies and earned a 77.1, and Tara took a test in Math and earned a 66.4. Use the fact that all the students' test grades in the Social Studies class had a mean of 75.5 and a standard deviation of 10.5, and all the students' test grades in Math had a mean of 65.3 and a standard deviation of 8.8 to answer the following questions.a) Calculate the z-score for Lloyd's test grade.�=b) Calculate the z-score for Tara's test grade.�=c) Which person did relatively better? Lloyd Tara They did equally well.Do students ever make up information for an assignment? You be the judge. Students in an applied psychology class were sent out to be observer 100 cars and report how many of the drivers wear wearing seat belts. Each student reported the number of drivers he or she saw wearing seat belts as his or her score. The mean for the class was 65, with the standard deviation of 7. One student, who had a reputation for not doing his assignments, reported seeing 42 belted drivers. Assuming the student actually counted, use the normal curve table to determine the probability that he observed 42 or fewer seat belt users. Based on this probability, do you suspect he made up the numbers rather than actually counting?
- 1. In a distribution of six scores, the deviations from the mean for five of the scores are +5, +3, +1, 0, and-3.What is the value of the deviation for the sixth score? 2. On the midterm exam in their anthropology course, Jan’s deviation score was +5, Kim’s was -12, andLeslie’s was 0.a) of these three, who did the best and who did the worst?b) the mean for the class was 80. What was the raw score for Jan, Kim, and Leslie?Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.a) Calculate the z-score for Logan's test grade.z=z= [Round your answer to two decimal places.] b) Calculate the z-score for Brian's test grade.z=z= [Round your answer to two decimal places.]c) Which person did relatively better? Logan Brian They did equally well.The mean and S.D. of 20 items were found to be 12 and 6 respectively. On checking it was discovered that items which should correctly read as 11 and 21 had been wrongly taken as 15 and 27 respectively. Find the correct values of mean and S.D.
- These next questions come after part B. Which of the statements correctly describes the relationship between the mean and median in the histogram of the number of servings of fruit per day claimed by the 7474 seventeen‑year‑old girls? A) The mean and median are about equal because the distribution is right‑skewed. B) The mean is larger than the median because the distribution is right‑skewed. C) The median is larger than the mean because the distribution is right‑skewed. D) There is not enough information to tell us about the relationship between the mean and median in the histogram. (c) In general, you cannot find the exact values of median, quartiles, or mean from the histogram. What is special about the histogram of the number of servings of fruit that allows you to do this? Select an answer choice. A) We know exactly how many observations fall in each bin because of the way the bins are constructed. B) The sample size only consists of only 74…Dakota and Bill began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Dakota took a test in Science and earned a 79.9, and Bill took a test in Math and earned a 63.5. Use the fact that all the students' test grades in the Science class had a mean of 73.5 and a standard deviation of 11.4, and all the students' test grades in Math had a mean of 67 and a standard deviation of 8.3 to answer the following questions. a) Calculate the z-score for Dakota's test grade. [Round your answer to two decimal places.] b) Calculate the z-score for Bill's test grade. [Round your answer to two decimal places.] c) Which person did relatively better? O Dakota O Bill O They did equally well. Submit Question 3Nick and Donald began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Nick took a test in Science and earned a 79.6, and Donald took a test in English and earned a 61.2. Use the fact that all the students' test grades in the Science class had a mean of 73.8 and a standard deviation of 9.3, and all the students' test grades in English had a mean of 66.2 and a standard deviation of 8.6 to answer the following questions.a) Calculate the z-score for Nick's test grade.z=z=__?__b) Calculate the z-score for Donald's test grade.z=z=__?__c) Which person did relatively better? __Nick __Donald __They did equally well.
