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.
 42,640 41,830 46,990 50,690 40,950 41,460 48,670 40,090 44,720
• 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%?

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.

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.
 42,640 41,830 46,990 50,690 40,950 41,460 48,670 40,090 44,720
• 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%?