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- A statistical program is recommended. A company that sells musical instruments has been in business for five years. During that time, sales of pianos increased from 13 units in the first year to 77 units in the most recent year. The firm's owner wants to develop a forecast of piano sales for the coming year. The quarterly sales data follow. Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 Total YearlySales 1 5 2 1 5 13 2 7 4 4 14 29 3 11 3 5 16 35 4 12 9 7 22 50 5 19 10 13 35 77 (a) Deseasonalize the data. (Round your answers to four decimal places.) Year Quarter Sales Adjusted Deseasonalized Seasonal Sales Index 1 1 5 1.3407 1 2 2 0.5998 1 3 1 0.4842 1 4 5 1.5753 2 1 7 1.3407 2 2 4 0.5998 2 3 4 0.4842 2 4 14 1.5753 3 1 11 1.3407 3 2 3 0.5998 3 3 5 0.4842 3 4 16 1.5753 4 1 12 1.3407 4 2 9 0.5998 4 3 7 0.4842 4 4 22 1.5753 5 1 19 1.3407 5 2 10 0.5998 5 3…Bullying,” according to noted expert Dan Olweus, “poisons the educational environment and affects the learning of every child.” Bullying and victimization are evident as early as preschool, with the problem peaking in middle school. Suppose you are interested in the emotional well-being of not only the victims but also bystanders, bullies, and those who bully but who are also victims (bully-victims). You decide to measure anxiety in a group of bullies and a group of victims using an 18-item, 5-point anxiety scale. Assume scores on the anxiety scale are normally distributed and that the variances of the anxiety scores are the same among bullies and victims. The group of 23 bullies scored an average of 40.1 with a sample standard deviation of 10 on the anxiety scale. The group of 28 victims scored an average of 46.8 with a sample standard deviation of 11 on the same scale. You do not have any presupposed assumptions about whether bullies or victims will be more anxious, so you formulate…A statistical program is recommended. A company that sells musical instruments has been in business for five years. During that time, sales of pianos increased from 13 units in the first year to 77 units in the most recent year. The firm's owner wants to develop a forecast of piano sales for the coming year. The quarterly sales data follow. Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 Total YearlySales 1 5 2 1 5 13 2 6 4 4 14 28 3 11 3 5 16 35 4 12 9 7 22 50 5 19 10 13 35 77 (a) Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data: x1 = 1 if quarter 1, 0 otherwise; x2 = 1 if quarter 2, 0 otherwise; and x3 = 1 if quarter 3, 0 otherwise. (Let t = 1 denote the time series value in quarter 1 of year 1; t = 2 denote the time series value in quarter 2 of year 1; and t = 20 denote the time series value in quarter 4 of year 5. Round your numerical values to two decimal places.) t =…
- Predicting student proficiency test scores accounting for poverty and income measures: Data was collected on 608 school districts in Ohio (The Cincinnati Enquirer, Nov 30, 1997) using passage rates in 1996. The variables used in this analysis include: % passed – percent of all 4rth, 6th, 9th and 12th graders who passed the state’s exam eg: 93.85 means 93.85% % on ADC – percent of all students in the district receiving Aid for Dependent Children eg: 0.11 means 0.11% % Free Lunch – percent of all students who qualify for reduced- priced lunches Median Income – reported in dollars Now conduct a simple linear regression analysis for each of the variables predicting passing rate and fill in the table below. (posted in attachments). Question: Judging from the outputs summarized in above (analysis posted in attachments), the % free lunch variable provides the best linear regression equation available with this data to predict a county’s…Study 2: Pill Appearance and Perceived Pain. Does the shape or color of a pain pill influence its effectiveness? Although logically it shouldn’t, whether we believe a drug will work does have a powerful effect on our perceptions (e.g., placebo effect). In this experiment, 4 groups of adult patients were given the same amount of Advil after dental surgery for pain relief, but the color and shape of the pill varied. Researchers hypothesized that an unusual shape or color would lead people to believe the pills were new and special and thus would expect them to be more effective than common round, white pills. Researchers also wanted to know if there is an interaction between shape and color Data Labels ShapePill {1=Round; 2=Diamond} ColorPill {1=White; 2=BlueGreen} Gender {0=Woman; 1=Man; 2=Nonbinary person) Descriptions of the Variables and Descriptive Statistics: Referring to the JASP output, and using sentences, present the descriptive statistics of each group: for example:…Discussion. A study on the relationship between the level socio-emotional learning and mathematical resiliency of senior high school students was conducted by a researcher. The level of socio- emotional learning was determined in relation to self-awareness, social awareness, and self- management. The table showed the results of the statistical analysis. What did the study reveal about the relationship of the two variables? Indicator p-value self-awareness 0.048 social-awareness self-management 0.190 0.054 rvalue 0.492
- The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment Response One 6.8 One 5.4 One 8.5 One 6.8 One 7.5 One 5.3 One 7.1 One 7.3 Two 3.6 Two 2.3 Two 3 Two 4.2 Two 1.9 Two 1.3 Two Two Treatment Treatment One Two 6.8 5.4 8.5 6.8 7.5 5.3 7.1 7.3 3.2 4.9 F-ratio: p-value: 0.000 Conduct ANOVA with a = 0.05 for this data and calculate the F-ratio and p-value. Round your answer to three decimal places. Assume all population and ANOVA requirements are met. 3.6 2.3 3 4.2 1.9 1.3 3.2 4.9 t-statistic: p-value: 0.000 0⁰ Now, conduct a t-test with a = 0.05 on the same data and calculate the t-statisitc and p-value. Round your answer to three decimal places. Observing the p-values, was there a difference in the result of the hypothesis test? No, the p-values aren't that far off where it would change the outcome of the test. O Yes, the p-values are different enough to change the outcome of the test.Lab # 9 Statistics in Psychology Analysis of Variance Within Subjects ANOVA One-Way Within-Subjects Design 1. A group of clinicians who are members of the U.S. military are concerned with the morale of troops serving in war regions. They hypothesize that the number of tours a soldier has served significantly affects morale. To test this hypothesis, they select a sample of eight soldiers who served three tours in war regions and ask them to rate their morale during each tour they served in. Lower ratings indicate lower morale. The table lists the hypothetical results of this study. Complete the F table and make a decision to reject or fail to reject the null hypothesis at the .05 significance level. 1st 2nd 3rd 6 5 4 Нуpotheses: 5 4 Ferit /threshold: 6 3 6 7 7 5 7 6 6 7 7 7 6 7 Source of Variation SS df MS Fobt Between groups Between persons Within groups (error) Total Conclusion:Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 38 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 37 U.S. cities. The sample mean for these cities showed that x2 = 18.1% of the young adults had attended college. From previous studies, it is known that ?1 = 6.4% and ?2 = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05. (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a…
- 5. Effect size for independent-measures t test - Cohen's d and r squared Tobacco companies have actively attempted to remake their public image by launching a youth smoking prevention advertisement campaign. Melanie Wakefield (a professor of applied psychology and researcher at the Center for Behavioral Research in Cancer in Victoria, Australia) and her colleagues conducted a study to assess the relation between exposure to tobacco companies' youth smoking prevention advertising and youth smoking-related beliefs, intentions, and behaviors. You use Professor Wakefield's research to design an experiment with two groups of middle school students from Morocco. You show the tobacco company's youth smoking prevention ads to one of the groups of students every day for a week at the beginning of their math class. After the week, you assess the groups on the degree to which the students approve/disapprove of adults smoking, using a 5-point Likert scale. You do not have a prediction about the…A manufacturer produces both a deluxe and a standard model of an automatic sander designed for home use. Selling prices obtained from a sample of retail outlets follow. Model Price ($) Model Price ($) Retail Outlet Deluxe Standard Retail Outlet Deluxe Standard 1 39 27 5 40 30 34 2 39 28 6 39 3 45 35 7 35 29 4 38 30 a. The manufacturer's suggested retail prices for the two models show a $10 price differential. Use a .05 level of significance and test that the mean difference between the prices of the two models is $10 Develop the null and alternative hypotheses. Но - = d Select Ha = d Select Calculate the value of the test statistic. If required enter negative values as negative numbers. (to 2 decimals). The p-value is Select Can you conclude that the price differential is not equal to $10? Select b. What is the 95% confidence interval for the difference between the mean prices of the two models (to 2 decimals)? Use a t-table.A statistical program is recommended. A company that sells musical instruments has been in business for five years. During that time, sales of pianos increased from 12 units in the first year to 76 units in the most recent year. The firm's owner wants to develop a forecast of piano sales for the coming year. The quarterly sales data follow. Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 1 2 3 4 5 4 7 11 12 18 2 4 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4 3 9 10 1 4 5 7 13 5 14 16 22 35 Total Yearly Sales 12 29 35 50 76 (a) Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data: x₁ = 1 if quarter 1, 0 otherwise; x₂ = 1 if quarter 2, 0 otherwise; and x3 = 1 if quarter 3, 0 otherwise. (Let t = 1 denote the time series value in quarter 1 of year 1; t = 2 denote the time series value in quarter 2 of year 1; ... and t = 20 denote the time series value in quarter 4 of year 5. Round…
