A Social Worker Was Interested in Determining Whether There Is

question 251

Short Answer

A social worker was interested in determining whether there is a significant difference in the average monthly cost per child for childcare outside the home between state supported facilities and privately owned facilities. Two independent random samples yielded the following information: Is it reasonable to assume equality of variances in this problem? Justify your answer. Perform the appropriate test of hypothesis to determine whether there is a significant difference in the average monthly cost per child for childcare between the two types of facilities. Use .
Test Statistic = ______________
Reject Region: Reject H₀ if |t| > ______________
Conclusion: ______________
One ______________ conclude that there is a significant difference in the average monthly cost per child for childcare outside the home between the two types of facilities.

---

Definitions:

Straight Line

A direct path between two points without any curves or bends.

Positive Linear Relationship

A direct relationship between two variables where an increase in one variable results in an increase in the other variable.

Linear Manner

In a direct and proportional way, where changes in one quantity lead to predictable and constant changes in another.

Values Increase

refers to a scenario where numerical values or quantities grow or become larger.