# Statistics Question

learn.

## Instructions

Part I. Inferential Statistics Concepts and Assumptions & Concepts

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 four main assumptions for parametric statistics?
5. Please discuss and explain in your own words each of the four main assumptions.
6. Why it is important to discuss or 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 then a 95% CI?
3. 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 https://www.mathsisfun.com/data/confidence-interval-calculator.html). The point of this assignment question is for you to understand what the 95% CI means.
4. 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 https://www.mathsisfun.com/data/confidence-interval-calculator.html). The point of this assignment question is for you to understand what the 99% CI means.

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 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:

1. 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.
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 Supplemental Resources available for each week in the Course Resources linked at the top of your course.

Length: Complete responses to all questions in all three parts. Please include the question prompts along with your responses in your assignment submission. In addition to a WORD (.doc) file with the answers to the assignment questions, also include 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 Northcentral University’s Academic Integrity Policy.

attachment_1

learn.

## Instructions

Part I. Inferential Statistics Concepts and Assumptions & Concepts

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 four main assumptions for parametric statistics?
5. Please discuss and explain in your own words each of the four main assumptions.
6. Why it is important to discuss or 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 then a 95% CI?
3. 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 https://www.mathsisfun.com/data/confidence-interval-calculator.html). The point of this assignment question is for you to understand what the 95% CI means.
4. 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 https://www.mathsisfun.com/data/confidence-interval-calculator.html). The point of this assignment question is for you to understand what the 99% CI means.

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 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:

1. 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.
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 Supplemental Resources available for each week in the Course Resources linked at the top of your course.

Length: Complete responses to all questions in all three parts. Please include the question prompts along with your responses in your assignment submission. In addition to a WORD (.doc) file with the answers to the assignment questions, also include 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 Northcentral University’s Academic Integrity Policy.

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