## Content Mastery Testing

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%?