Module 4: Content Mastery Testing 

Instructions

After studying and reviewing the concepts and practices of Module 4, answer the following questions:

  1. A sample size of 35 scores has a mean score of 85 points with a standard deviation of 3.25 points. Is there any statistical evidence that the grade population mean is less than 75 points (α = 5%)? Greater than 85 points (α = 10%)
  2. A sample size of 49 students has a mean weight of 205 pounds with a standard deviation of 5.8 pounds. Find a 95% confidence interval for the weight population mean. Is there any statistical evidence that the weight population mean is less than 200 pounds (α = 1%)?
  3. The following data represents the annual average salary ($) of a sample of nine Social Workers.
42,64041,83046,99050,69040,95041,46048,67040,09044,720
  • If the data comes from a normally distributed population with µ = $48,920, Is there any statistical evidence that the average salary of Social Workers is less than $45,000 for a significance level of 10%?

 

Be sure to review the academic expectations for your submission.

Submission Instructions:

  • Submit your assignment by 11:59 PM Eastern on Sunday.
  • Review the rubric to determine how your assignment will be graded.
  • Your assignment will be run through Turnitin to check for plagiarism.
  • Justify any assumption and show all the steps to solve the exercises.

 Content Mastery Testing 

Module 4: Content Mastery Testing 

Instructions

After studying and reviewing the concepts and practices of Module 4, answer the following questions:

  1. A sample size of 35 scores has a mean score of 85 points with a standard deviation of 3.25 points. Is there any statistical evidence that the grade population mean is less than 75 points (α = 5%)? Greater than 85 points (α = 10%)
  2. A sample size of 49 students has a mean weight of 205 pounds with a standard deviation of 5.8 pounds. Find a 95% confidence interval for the weight population mean. Is there any statistical evidence that the weight population mean is less than 200 pounds (α = 1%)?
  3. The following data represents the annual average salary ($) of a sample of nine Social Workers.
42,64041,83046,99050,69040,95041,46048,67040,09044,720
  • If the data comes from a normally distributed population with µ = $48,920, Is there any statistical evidence that the average salary of Social Workers is less than $45, 000 for a significance level of 10%?

 

Be sure to review the academic expectations for your submission.

Submission Instructions:

  • Submit your assignment by 11:59 PM Eastern on Sunday.
  • Review the rubric to determine how your assignment will be graded.
  • Your assignment will be run through Turnitin to check for plagiarism.
  • Justify any assumption and show all the steps to solve the exercises.

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