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Assignment 5: Determine the Standard Error of the Mean, Confidence Intervals, and Parametric Assumptions

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Part I. Inferential Statistics Concepts and Assumptions

Discuss the following terms in your own words and give an example:

  1. What is the standard error of measurement?
  2. What is the standard error of the mean?
  3. Please discuss the term confidence interval.
  4. What are the four main assumptions for parametric statistics? (State the name of the assumption and explain the assumption in your own words)
  5. Why is it important to test the assumptions before conducting parametric statistical analyses?

Part II. Standard Error of the Mean and Confidence Intervals

A district-wide test is used to measure math aptitude in freshmen in high school students, with a mean of 78 and a standard deviation of 12. Thirty-six selected freshmen took the test, and their mean score was 85. You are tasked to examine if these students are significantly different from the district test group.

  1. Calculate the standard error of the mean (SEM)? (Note. SEM is calculated by dividing the standard deviation by the square root of the sample size.)
  2. Why is it better to use a 99% CI than a 95% CI?

Part III. Testing for Parametric Assumptions

A movie company wants to test if there are movies that are preferred more by females and preferred more by males. The movie company surveyed 20 men and 20 women and showed half of the sample a film that was supposed to be a movie preferred more by females (The Notebook) and males (The Godfather). In all cases, the movie company measured their excitement as an indicator of how much they enjoyed the film. Please open the movie SPSS file, and answer the following questions:

  1. Conduct the required analyses to test for the assumptions of normality and homogeneity of the variance for the two films from the data in the movie date file.
  2. Please write a few sentences describing the assumptions required in this exercise and whether or not they were met. Please include information from the output to support your answers.

Remember that there are additional resources available in the Supplemental Resources under Course Resources from the course home page.

Length: There is not a set number of pages required for this assignment. All questions in the assignment need to be answered. In addition to the answers to the assignment questions, also submit the output (.spv) file. (Note. SPSS automatically generates the .spv file as you work in SPSS. When you close your SPSS main window, SPSS will ask you if you want to save the output file. Click ‘yes’, then save to your computer and upload with your assignment.)

References: No references are required, though any sources used other than those provided within the assignment should be cited and referenced in APA format

Your responses should demonstrate thoughtful consideration of the ideas and concepts presented in the course and provide new thoughts and insights relating directly to this topic. Your response should reflect scholarly writing and current APA standards. Be sure to adhere to National University’s Academic Integrity Policy.

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