An ANOVA test is conducted of the grades earned by students from a math professor, who taught 3 sections of the same class: morning, afternoon and evening. The decision was to Reject the null hypothesis. Does the test tell which mean is significantly different? yes O no
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- A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 3232 4545 2121 5050 3636 4444 2626 2020…According to the Minnesota Baccalaureate Psychomotor Skills Test (2008) your patient has significantly greater psychomotor skills than the average patient. Which of the following results would be appropriate to see with this finding? a-Z=1.36 (p=0.01) b-Z=5.67(p=0.08) c-Fail to reject the null d-Z= -1.98 (p=0.02) why is the answer a? and what is a trick to remember with p values? i understand that it is 0.05 or 5% chance of errorA researcher takes a sample of 50 individuals and administers a background check to identify the number of prior arrests for each person. For whatever reason, one person is removed from the analysis and another random person is selected to replace that person. Having no additional information, what is your best guess of the number of prior arrests experienced by the replacement person? Why?
- Does grade level matter regarding having a drink of coffee before going to school? To get some insight relating to this question, Professor Jay randomly selected nm = 1142 New York City high school freshmen. Of these, xm = 803 said they had at least one cup of coffee before going to school. Professor Jay also randomly selected nf = 1012 New York City high school seniors. Of these, xf = 760 said they had at least one cup of coffee before going to school. Suppose Pm is the true proportion of New York City high school freshmen who have a drink of coffee before going to school. Suppose pf is the true proportion of New York City high school seniors who have a drink of coffee before going to school. Pm and pf are unknown and we will examine relations between them based upon Professor Jay's samples. Let pmhat be the sample proportion of high school freshmen who said they had at least one cup of coffee before going to school. Let pfhat be the sample proportion of high school seniors who said…A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…
- A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.Does the source of medical information affect people’s confidence that it is true? To answer this question, you presented medical information to participants regarding the importance of vaccinations. Participants were randomly assigned to read medical information from a doctor, a politician, or a celebrity. Then, they indicated how confident they were that the information is true.
- A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 3030 3939 5353 3838 3333 5151 2222 3838…Perform a hypothesis test for a population mean and for a population proportion A group of psychologists commented that less than 57% of them help children to enjoy reading to improve their intelligence. An investigation was conducted to find out if this is true in a certain school zone. 210 psychologists were randomly chosen and interviewed to detect whether, by developing their work in psychology, they help children to enjoy reading to improve their intelligence; It was found that 105 psychologists do help children. Perform the hypothesis test with alpha of 10%.During the pandemic, an HR manager randomly assigned 6 employees to work from homeand the other 6 employees to work from the office as usual. After three months, all 12employees’ job performance was tested. Scores for those working from home were 10, 12,14, 13, 11, 12, and scores for those who worked from the office were 8, 6, 10, 8, 9, and 7.The HR manager then compares the scores from both groups to determine which groupscores significantly higher.Based on the experiment above,a) Carry out a t-test using five steps of hypothesis testing with the 0.05 level ofsignificance at one-tailed. Explain your finding.b) Sketch the t-distribution involved.