Question 1. Inferential Statistics Concepts and Assumptions & Concepts
A. What is the standard error of measurement?
B. What is the standard error of the mean?
C. Discuss the term confidence interval.
D. What are four main assumptions for parametric statistics?
E. Discuss and explain in your own words each of the four main assumptions.
F. Why it is important to discuss or test the assumptions before conducting parametric statistical analyses?
Question 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.
A. 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.)
B. Why is it better to use a 99% CI then a 95% CI?
C. Explain a 95% CI and give an example or apply the meaning in a real-world situation (you do not need to calculate by hand but can if you want to! OR you could create a fake dataset on SPSS and have SPSS calculate the CI, OR make it up OR use an online CI calculator such as The point of this assignment question is for you to understand what the 95% CI means.
D. Explain a 99% CI and give an example or apply the meaning in a real-world situation (you do not need to calculate by hand but can if you want to! OR you could create a fake dataset on SPSS and have SPSS calculate the CI, OR make it up OR use an online CI calculator such as The point of this assignment question is for you to understand what the 99% CI means.
Question 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 each 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:
A. Conduct the required analyses to test for the assumptions of normality (Shapiro-Wilks or Kolmogorov- Smirnov) and homogeneity of the variance (Levene’s) for the two films from the data in the movie data file.
B. Write a few sentences describing the assumptions required in this exercise and whether or not they were met. include information from the output to support your answers.
