Statistics

    1. Consider the following one-way ANOVA table to compare the means of 4 populations. a. Fill in the numbers for all the missing cells: Source Degree of Freedom Sum of Square Mean Square F Test Statistic p-value Factor 136.5 0.4346 Error Total 15 692 b. Multiple Choice: Based on the above ANOVA table, I can conclude the following about the means of the 4 populations i. The means of the four populations could be the same ii. At least one of the 4 means is different from the rest and Tukey’s HSD is need to determine which mean(s) differ iii. There is not enough information to make any conclusion about the means of the four populations 2. A major federal agency in Washington, D.C. regularly conducts classes in PL/1, a computer programming language used in the programs written within the agency. One week, the course was taught by an individual associated with an outside consulting firm. The following week, a similar course was taught by a member of the computer staff agency obtaining the following results on the satisfaction of the students in the course (maximum score of 64). The instructors want to know if the data presents sufficient evidence to indicate a difference in student satisfaction between the two teachers. Taught by outsider Taught by Staff Member 38 46 42 33 53 38 37 60 36 58 48 52 47 44 47 45 44 51 Use JMP to analyze this data and then answer the following questions: a. What is the mean satisfaction score of the students who took the course with an outside teacher? The mean score of the Staff Member students? b. Write out the null and alternative hypotheses needed to analyze this data. Using the appropriate test, does the data suggest that there is a difference in the mean satisfaction scores between the two teachers? Find and list the appropriate p-value in the JMP output and draw your conclusion (write in sentence form). c. Interpret the 95% confidence interval for the difference in the mean satisfaction scores of the two teachers. Write a sentence explaining why this confidence interval is giving the same conclusion as the p-value in part (c) 3. A paint manufacturer wishes to validate its advertisement statement that a gallon of its paint covers on average more than 400 square feet. An independent testing laboratory is hired to evaluate the advertisement statement based on fifty 1-gallon cans of paint randomly selected from the manufacturer’s warehouse. (Data is not shown, but use JMP output to answer these questions) a. What is the research hypothesis that the manufacturer wants to test? Write out the null and alternative hypothesis being tested b. Is this data skewed left, skewed right, or symmetric? c. Using the appropriate test for the research hypothesis, what can the paint manufacturer claim about the advertisement of covering at least 400 square feet?