Can there be a set of data fitting to both the following histograms? Which of these answers are correct? Histogram 1 Histogram 2 10 a) No, because the right one is calculated from positive data only. b) Yes, the right one includes all possible data from which the left one may be calculated. c) No, the right one must be calculated with at least one value greater than 8. d) No, the left one can not have been calculated with a value of 10 or more. 90'0 200 000 OL'D 00 0 0.15
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- A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 268 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 123 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 26%? (Round your answer to four decimal places.)A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.1 State the appropriate measurement scales for the variables. 2.2 State the null and alternative hypotheses. 2.3 Calculate the expected frequency corresponding to a Grade 3 academic with a high level of absenteeism. 2.4 Find the Chi-Square critical value and test statistic.…A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.2 State the null and alternative hypotheses.
- A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.3 Calculate the expected frequency corresponding to a Grade 3 academic with a high level of absenteeism.A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.4 Find the Chi-Square critical value and test statistic. Hence, conduct a Chi-Square test of association at 5% level of significance clearly stating your decision and conclusion.A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.1 State the appropriate measurement scales for the variables.
- A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…a. Data Set 9 in Appendix B includes a sample of 35 movies, and 12 of them have ratings of R. What percentage of these 35 movies have R ratings?b. In a study of 4544 students in grades 5 through 8, it was found that 18% had tried smoking (based on data from “Relation between Parental Restrictions on Movies and Adolescent Use of Tobacco and Alcohol,” by Dalton et al., Effective Clinical Practice, Vol. 5, No. 1). How many of the 4544 students tried smoking?The following table shows the scores on a clerical aptitude test and grades in a clerical skills course for 11 business administration students. Determine the grade in the clerical skills course if a student scores 89 on an aptitude test. Aptitude Test (x) Skill Course Grades (y) 86 88 83 85 92 89 79 89 87 92 92 90 91 90 97 93 84 86 82 82 94 94 from this data and attached pictures Decision Rule (if applicable) Reject or failed to reject Hypothesis Conclusion
- A school system has assigned several hundred “chronic and severe” underachievers to an alternative educational experience. To assess the program, a random sample of 35 students has been selected for comparison with all students in the system.c. Look at image (Hint: Note the wording of the research questions. Is a one-tailed test justified? Is the program a success if the students in the program are no different from students systemwide? What if the program students were performing at lower levels? If a one-tailed test is used, what form should the research hypothesis take? Where will the critical region begin?Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric (\"Are babies normal?\" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the \"typical\" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3432 g and standard deviation σ = 482 g. The following questions refer to infants born from 37 to 43 weeks whose mothers did not have a history of diabetes. Compute the z-score of an infant who weighs 3762 g. (Round your answer to at least two decimal places.) Approximately what fraction of infants would you expect to have birth weights between 2890 g and 3410 g? (Express your answer as a decimal, not a percent, and…Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric ("Are babies normal?" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3402 g and standard deviation σ = 492 g. Let X be the weight of a randomly selected infant born from 37 to 43 weeks whose mother did not have a history of diabetes. What is the distribution of X? X ~ N (,) Please show the following answers to 4 decimal places. If a healthy infant is randomly chosen, find the probability that the birth weight is below 3156 g. If a healthy infant is randomly chosen, find the…