Part I. Inferential Statistics Concepts and Assumptions
Discuss the following terms in your own words and give an example:
What is the standard error of measurement?
What is the standard error of the mean?
Please discuss the term confidence interval.
What are the four main assumptions for parametric statistics? (State the name of the assumption and explain the assumption in your own words)
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.
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.)
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:
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.
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.
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