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# see attachment  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%?   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.

see attachment

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%?

Be sure to review the

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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