Nonparametric-Statistics-and-Correlation-A5

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Answer questions associated with nonparametric statistics and correlation.

Question 2

There are 218 first graders in an elementary school. Of these first graders, 86 are boys, and 132 are girls. School-wide, there are 753 boys and 1063 girls. The principal would like to know if the gender ratio in first grade reflects the gender ratio across the school.

Complete the following:

  1. Identify the null hypothesis.
  2. What are the degrees of freedom (df)?
  3. Complete the table (complete in SPSS and paste the output into your Word document):
    Question 2
    Men Women
    Number Observed Number Expected Number Observed Number Expected
  4. Calculate χ² in SPSS and paste the output into your Word document.
  5. Can you reject the null hypothesis at α = .05?

Question 3

You recently read a magazine article stating that professionals who attended college online tend to earn higher salaries than professionals who attended brick-and-mortar universities. Identify this study’s two variables.

Question 5

Group A (n = 12) has a mean score of 7.42. Group B (n = 12) has a mean score of 6.00. Standard deviation for scores across all participants is 1.369. Group A’s mean is significantly higher than Group B’s mean ( t = 2.84, α < .01).

  1. Calculate effect size using Cohen’s d and effect size r.
  2. Based on the effect size, it there a practical difference between Groups A and B?

Question 6

Assume Cohen’s d to be approximately .40. If conducting an independent samples t test (two-tail, α= .05), how many participants will you need in each group to achieve 90 percent (.90) power?

Question 7

Assume effect size η to be approximately .29. If conducting a one-way ANOVA (three groups, α = .05), how many participants will you need in each group to achieve 80 percent (.80) power.

Question 8

Which of the following scenarios might be analyzed using a correlation?

  • The effectiveness of training A versus training B in raising skill level.
  • Minutes spent exercising per week and physical fitness level.
  • Income level and the number of visits to a financial planner.
  • Beer brand preference among college students.

Question 9

Indicate if you expect the relationship between the following variables to be negative (-), positive (+), or zero (0):

  • Size of yard and size of landscaping bill.
  • Years of education and income level.
  • Hours of TV watched per week and physical fitness level.
  • Number of siblings and number of pets.
  • Hours spent studying and exam scores.

Submission Requirements

  • Submit all answers in one Word document (do not submit multiple files).
  • Show your work for questions that require calculations.
  • Ensure your answer to each problem is clearly visible (you may want to highlight your answer, or use a different font color, to set it apart).
 
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