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- the following data are from a hypothetical study on the effects of age and time on scores on a test of reading comprehension. Age 12 year olds 16 year olds 18 year olds time 74 30 minutes 66 82 73 60 minutes 69 95 90 minutes 80 89 95 using a significance level of 5% what conclusions would you draw from the study?Research indicates that stress levels are lowered when petting a dog. . A mood inventory questionnaire is administered to a group of 20-29 - year olds with no do present in the room, and again a month later the same mood questionnaire is administered to the same people with a dog present in the room. Is there a significant difference in the mood scores for when the dog was present or not? Test with a = .05 for two tails. Person No Dog in Room Dog in Room A 12 14 B 8 7 C 10 13 D 9 9 E 7 13 F 10 12People tend to evaluate the quality of their lives to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted interviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures of a life-satisfaction scale for a sample of n=9 elderly people who completed the interview. Assume that the average score on this scale is u=20. What is your computed t? Use a one-tailed test with a=0.05. The life satisfaction scores are 18, 23, 24, 22, 19, 27, 23, 26, 25. Note: S2-sS (sum of squares)÷df (degrees of freedom) Answer:
- A mathematics placement test is given to all entering freshmen at a small college. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. A study about the correlation between the placement scores and the final course grade is being written and the placement test scores and final grades for a group of students who took the regular course were recorded as follows: Placement Course Test Grade 50 53 35 41 35 61 40 56 55 68 65 36 35 11 60 70 90 79 35 59 90 54 80 91 60 48 60 71 60 71 40 47 55 53 50 68 65 57 50 79 Is there a significant relationship between the score on the placement test and the course grade of the students? Use 5% level of significance. (Show complete proof/steps with conclusion in statement form)On occasion, medical studies need to model the proportion of the population that has a disease and compare that to observed frequencies of the disease actually occurring. Suppose the end-stage renal failure in south-west Wales was collected for different age groups. Do the data in the table show that the observed frequencies are in agreement with proportion of people in each age group? Test at the 1% level. Renal Failure Frequencies Age group 16-29 30-44 45-59 60-74 75+ Total Observed Frequencies 125 152 134 124 48 583 Expected Proportion 0.23 0.25 0.22 0.21 0.09 State the hypotheses.H0: The observed frequencies in agreement with proportion of people in each age group.Ha: The observed frequencies in agreement with proportion of people in each age group. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to 3 decimal places.χ2 = Calculate the p-value. Round to 3 decimal places.p-value = State your decision.Since p-value α,…An investigation is carried out to determine whether face to face or virtual learning is more effective. If 12 students took an IT course virtual and 14 took it face to face: The data of the scores made for both types of learning are shown in the table. Virtual 66 75 85 64 88 77 74 91 72 69 77 83 Face to Face 80 83 64 81 75 80 86 81 51 64 59 85 74 77 determine whether you can conclude that the mean score differs between the two types of course. You need to first set up an alternate and null hypothesis
- A research group is conducting an experiment to study the relationship between fitness levels and the number of hours spent exercising each week. Subjects are randomly selected and, after several fitness tests, are assigned a fitness score. The number of hours spent exercising per week is also recorded. Data for 15 subjects are given below. Subject Hours of Exercise per Week Fitness Score 1 1 3 2 1.5 4.7 3 1.75 6 4 2 5 5 2 6.5 6 4.5 14.2 7 2.5 13.5 8 3.25 15 9 3 13.4 10 3.75 14 11 3.5 10 12 4 10 13 2.5 12 14 5.25 14.5 15 5 15 Create a bar graph in Microsoft® Excel® using the data. Label the graph and include the source of the data. Construct an equation in two variables that models this relationship. This equation may be linear, polynomial, rational, square root, or variation? Is the equation an exact model or an approximate model of the relationship between the variables? Explain your reasoning. Use the equation to make a prediction of the likely value of the…Do colors affect mood? You are particularly interested to know which color gives people a sense of serenity and peacefulness. You conduct an experiment by making participants stay for 20 minutes inside a room painted with a particular color (e.g., Red, Orange, Yellow, Green, Blue). With the use of temperature-sensitive cameras, you record the average body temperature of each individual during their stay inside each room (i.e., lower body temperatures are associated with feelings of calmness and relaxation; higher body temperatures - stimulation, excitement). Results are presented on the table. Red Orange 39 Yellow Green Blue 43 38 33 31 39 43 39 35 34 41 44 42 34 32 42 35 39 37 32 45 40 39 36 35 41 39 38 33 34People tend to evaluate the quality of their lives to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted interviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures of a life-satisfaction scale for a sample of n=9 elderly people who completed the interview. Assume that the average score on this scale is u=20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with a=0.05. The life satisfaction scores are 18, 23, 24, 22, 19, 27, 23, 26, 25. Do the 4-step procedure to know your answer. You can answer either a "Yes" or "No". Answer:
- You are examining two data sets involving test scores, set A and set B. The score 96 appears in both data sets. In which of the following data sets does 96 represent a higher score? Explain.(a) The percentile rank of 96 is higher in set B than in set A. A. 96 represents a higher score in Set A because a larger percentage of scores fall below 96 in set A.B. 96 represents a higher score in Set B because a larger percentage of scores fall below 96 in set B. C. 96 represents an equivalent score in both sets because an equal percentage of scores fall below 96 in both sets.D. It is impossible to tell in which set 96 represents a higher score because a percentage depends on the number of test scores in the set, which is unknown. (b) The mean is 90 in both data sets, but set A has a higher standard deviation.A. 96 represents a higher score in Set A because 96 is more standard deviations above the mean.B. 96 represents a higher score in Set B because 96 is more standard deviations above the…A child psychologist believe that controlled physical outbursts of anger (like punching a pillow) may improve the mood of young boys with emotional impairment. He believes that the proportion of boys who benefit from the treatment is greater than the proportion of girls. A random sample from each population receives counseling in the treatment and is asked about their mood after an episode (x is the number of test subjects that reported an improvement in mood). The results of the study are summarized in the table below. Boys n1 = 200 Girls n2 = 210 %3D %3D X1 = 35 X2 = 28 Blank #1: Find the two sample proportions, reporting each as a decimal, rounded to two decimal places. Do the initial (untested) findings show what the researcher expected? Enter your answer as a list of 3 items: P1, P2, yes or no. Do not add any extra spaces and pay attention to rounding. For example, a valid answer may look like .52,.14,yes or .25,.50,no. Untested, you compared them but you could have done that…