STAT200 Penn State University Anova Statistics Lab

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craatny

Mathematics

STAT200

Penn state university

Description

  • Always show your work; full credit will not be given to answers without work shown. If you do hand calculations, show your work using the Word Equation editor. If you use Minitab Express or StatKey include the appropriate output (copy + paste).
  • Always clearly identify your final answers and round all final answers to 3 decimal places.
  • Do not round off calculations in interim steps.
  • Minitab Express is needed to complete this assignment

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STAT 200 LAB -Lesson 10: ANOVA Due Tuesday, Nov. 12, 2019 NAME: Directions • • Answer the questions in this document in a different color and not bolded. Always show your work; full credit will not be given to answers without work shown. If you do hand calculations, show your work using the Word Equation editor. If you use Minitab Express or StatKey include the appropriate output (copy + paste). • Always clearly identify your final answers and round all final answers to 3 decimal places. • Do not round off calculations in interim steps. • For an example of formatting, see the sample lab in the Lesson 1 Module in Canvas. • If you have any questions, post them to the course discussion board. • Use complete sentences and always provide explanations along with any screenshots or software outputs. 2 Questions worth a total of 67 points 1. Complete the ANOVA source table below by filling in the blue cells. Show all of your work below the table using equation editor as needed. Show all of your work below the table. Copy+paste the F distribution that you used to find the p value. [18 points: 3 points each value + 3 points for proper F distribution plot] Source Between Groups SS 116 df 3 Within Groups Total 20267 20385 135 MS F p 2. This question set uses the StudentSurvey.MTW datafile. These data were collected from a sample of college students. We will be comparing students who would prefer to win an Olympic Medal, Academy Award, and Nobel Prize in terms of their GPA. [49 points] A. Use Minitab Express to compute the mean and standard deviation for the “GPA” variable for each of the three award groups separately (i.e., Descriptive Statistics > Variable = GPA and Grouping variable = Award). Copy and Paste your output and clearly indicate your values in writing. [3 points] B. Use Minitab Express to construct side-by-side boxplots to compare students who would prefer to win an Olympic Medal, Academy Award, and Nobel Prize in terms of their GPA. For a review, see 3.3 in the online notes. Copy and Paste your plot. [3 points] C. Use Minitab Express to construct a dotplot with groups to compare the GPA of students who would prefer each of the three awards. For a review, see 3.3 in the online notes. Copy and Paste your plot. [3 points] STAT 200 LAB -Lesson 10: ANOVA Due Tuesday, Nov. 12, 2019 D. With these data, do you think the side-by-side boxplots or dotplot with groups is easiest to interpret? Why? (Explain your choice indicating which provided the best interpretation of the information you need in ANOVA (center and spread)). [5 points] E. Explain why a one-way ANOVA should be conducted to compare the mean GPA of these three groups as opposed to a series of three independent means t tests. [5 points] F. Use Minitab Express to conduct a one-way ANOVA to compare the mean GPA of the three groups. Use the five-step hypothesis testing procedure. [15 points: 3 points each step] Step 1: State hypotheses and check assumptions Step 2: Compute the test statistic Step 3: Determine the p-value Step 4: Decide to reject or fail to reject the null hypothesis Step 5: State a real-world conclusion C. Use Minitab Express to conduct Tukey simultaneous tests for differences in means. Remember to include your relevant output here. Clearly state which pairs are significantly different and which pairs are not significantly different using all these methods (values within confidence interval of pairwise differences; p-value of t test for pairwise differences; letter values for groups). [15 points: 5 points for each of the three methods]
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STAT 200 LAB - Lesson 10: ANOVA
Due Tuesday, Nov 12, 2019

oNAME:
Directions



Answer the questions in this document in a different color and not bolded.
Always show your work; full credit will not be given to answers without work shown. If you do
hand calculations, show your work using the Word Equation editor. If you use Minitab Express or
StatKey include the appropriate output (copy + paste).
• Always clearly identify your final answers and round all final answers to 3 decimal places.
• Do not round off calculations in interim steps.
• For an example of formatting, see the sample lab in the Lesson 1 Module in Canvas.
• If you have any questions, post them to the course discussion board.
• Use complete sentences and always provide explanations along with any screenshots or software
outputs.
2 Questions worth a total of 67 points
1. Complete the ANOV...


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