A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, and 12th grade among students with less than a 2.0 GPA. She took a random sample of n=5 students from each grade level and compared absences among the four grades using ANOVA.  9th grade                   10th grade                  11th grade                12th grade 6                                         10                               17                                  15 9                                         12                               8                                     16 6                                         11                               11                                   12 7                                         11                               14                                   12 7                                         14                               15                                   12   Calculate the sum of squares within groups

A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.08, and there is reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.48, and computes the standard deviation of the sample to be $1.25. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: u is [? |H: u is ? ? In the context of this test, what is a Type II error? A Type II error is ? v the hypothesis that u is ? when, in fact, u is ? Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? ?

A large department store examined a sample of the 21 credit card sales and recorded the amounts charged for each of three types of credit cards: MasterCard, Visa, and Discover. Six MasterCard sales, seven Visa, and eight Discover sales were recorded. The store used an ANOVA to test if the mean sales for each credit card were equal. What are the degrees of freedom for the F statistic?

A research team is working on a project to study the time (in seconds) for high school male runners to finish a 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runners from a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded. The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter race follows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race.

A senlor accounting major at MIidsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before recelving a raise in salary? Using the following ANOVA table, Is there a difference in the mean number of months before recelving a ralse among the four firms? Use the 0.01 level of significance. Analysis of Variance Source df SS MS Factor 27.17 9.06 5.06 0.015 Error 13 23.22 1.79 Total 16 50.39 a. What are the null and alternate hypotheses? Ho: H b. What Is the test statistic? (Round your answer to 2 decimal places.) The test statistic is c. What Is the p-value? (Round your answer to 3 declmal places.) p-value

A sports researcher is interested in seeing if sports teams from the West Coast, Midwest, and East Coast fare differently in terms of the mean number of championships that they win. Each number below represents an individual observed sports team (X) that the researcher sampled. West Coast                            Midwest                             East Coast 7                                                  2                                      11  3                                                 4                                         9  Mwest =                                 Mmid =                           Meast = nwest =                                  nmid =                            neast = N =                                           GM = Perform a one-way ANOVA to determine if there is a significant difference between regions in terms of the number of championships that teams win. 1. State the Main and Null Hypotheses.  Assume alpha = .05 2. Find the critical F…