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.