Question 16 A researcher reported the following covariance matrix for her 3-item (7-option Likert item responses) test. Item1 Item2 Item3 Item4 Iteml 3.84 2.63 1.89 2.14 Item2 2.63 3.62 2.10 2.25 Item3 1.89 2.10 3.68 2.52 Item4 2.14 2.25 2.52 3.80 What is the value of the sum of item score variances?
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- A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1 19.2 19.3 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Round your answer to three decimal…A correlated groups design is more sensitive than an independent groups design if _________. 1. there are large inter-subject differences 2. there are small inter-subject differences 3. the experimental treatment effect is strong 4. there is a high correlation between paired scoresTwo competitive investment fund managers devised a plan to determine which one is better at picking stocks. They hired a statistician to randomly select some stocks from each manager's portfolio and to compare the proportions of these stocks that are valued higher than they were 6 months earlier. Her analysis revealed that 66% of the stocks picked by manager #1 had increased in value while 60% of the stocks picked by manager #2 had increased in value. Her p-value for a two tailed test was 0.3500. At a significance level of 0.05, what should she conclude? o Fund manager #1 is better at picking stocks than fund manager #2. o Fund manager #2 is better at picking stocks than fund manager #1. o There is insufficient evidence to conclude that the two fund managers differ in their ability to pick stocks. o There is sufficient evidence to conclude that the two fund managers differ in their ability to pick stocks.
- 6.23 A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Twins 1 2 3 4 5 6 7 8 Treatment A 48.3 44.6 49.7 40.5 54.3 55.6 45.8 35.4 Treatment B 43.5 43.8 53.7 43.9 54.4 54.7 45.2 34.4 a. Is there significant evidence that the two treatments differ using an a 5 .05 paired t test. b. Is there significant evidence that the two treatments differ using an a 5 .05 sign test. c. Do your conclusions in parts (a) and (b) agree? d. How do your inferences about the two treatments based on the paired t test and based on the sign test differ?A bank records the number of mortgage applications and its own prevailing interest rate (at the first of the month) for each of 16 consecutive months. Is there a correlation between the interest rate (x) and the number of applicants (y), and if so, is it significant at the 5% or the 1% significance level Answer Choices -0.733, significant at 1% -0.652, no significant correlation -0.587, significant at 5% -0.587, significant at 1% -0.652, significant at 5%A researcher is interested in determining whether background music has had an effect on participants' word recall. An experiment was conducted during which one group was given a list of words to study and then asked to recall the words while light jazz was playing in the background the entire time. The second group did the same thing in a completely silent environment. Below are percentages of correctly recalled words for each group.Conduct a two-samples t-test (equal variances assumed) to determiine if there was a significant difference between average percentages of recalled words in both groups.Assume alpha =0.05.In your answer, state the null and the research hypotheses and explain whether the results of the two-sample test led you to reject or fail to reject the null hypothesis, and what it means.Copy the data below into Google Sheets and perform t-test: two-sample (assuming equal variances). Copy/paste the results into the question response window. In your answer, state the…
- Mr Alsup asked the studentS in his third-and sixth-period English classes whether they had chosen a topic for thier writing assignment. he recorded the data in a two-way table, as shown below English class Yes No Total Third period 24 6 30 Sixth period 22 3 25 Total 46 9 55 if jannette in in mr alsup sixth-period english class what is the probablity that she has not chosen a topic for her writing assignment? a- 3% b- 5% c- 12% d-14%Suppose you analyzed the average monthly credit card bill of Visa credit card customers using two randomly selected samples: one with 144 Visa credit card customers (Sample #1) and one with 100 Visa credit card customers (Sample #2). Every credit card customer in Sample #1 had a monthly credit card bill of $1,812. Sample #2, on the other hand, had an average monthly credit card bill of $1,868 with a variance of 1,302,388 (SM2. If you combined these samples into one... Question 2 What would be the combined monthly credit card bill average (in dollars)? Question 3A What is the combined monthly credit card bill median (in dollars)? Question 3BWha is the shape of the combined monthly credit card bill distribution (in dollars)? Question 4 What would be the combined monthly credit card bill standard deviation (in dollars)?In a UK business school, lecturers have tried to determine if the number of hours students attend lectures has any measurable effect on the grades obtained by the students. The following data from a sample of 14 students in an international business class show hours of attendance and resulting grades.(22, 72), (20, 64), (24, 70), (8, 34), (12, 40), (16, 40),(18, 52), (16, 45), (20, 68), (24, 65), (28, 72),(20, 64), (10, 38), (16, 44)a. Estimate the regression line.b. Find a 95% confidence interval for the slope of the regression line.
- Which of the following conclusion would represent a Type II Error? Concluding that the movie will make a profit when it won't Concluding that there is a statistically significance correlation in movie executives and movie types Concluding that the movie will not make a profit when it will Concluding that there is a statistically significance difference in movie typesThe following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 2: Co-op Group 3: Work Study Group 1: Internship 10 10.5 11.25 11 9.25 10.25 9.75 13.25 10.5 12.5 10.5 10.75 Use technology to conduct a one-factor ANOVA to determine if the group means are equal using a = 0.01. Group means (report to 2 decimal places): Group 1: Internship: Group 2: Co-op: Group 3: Work Study: ANOVA summary statistics: F-ratio = (report accurate to 3 decimal places) 12.25 10.5 10.75 11.5 10 10.5 р (report accurate to 4 decimal places) Conclusion: © The sample data suggest the average starting hourly wages are not the same. O There is not sufficient data to conclude the starting wages are different for the different groups.