Another school district also planned to evaluate two different workbooks and two distinct teaching machines to assess their effectiveness in teaching the concept of multiplication. However, the administrators in this school district consulted a statistician about the design of their study. Because they were looking for a method effective on children of all abilities, the statistician suggested they check the children's past scholastic records and divide the children into groups according to their ability level. These ability groups represent relatively homogeneous experimental units within which the comparison of teaching methods may be made. She assigned one child from each ability level to each teaching method. Twenty students participated in the study. After receiving instruction, the children took a multiplication test and the number of errors they made were recorded. What experimental design did the statistician use?
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The null and alternate hypotheses are as follows: : The three population distributions are identical. : At least two of the three population distributions differ in location.
Describe what the test statistic is.
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Test Statistic: = ______________
Reject Region:
Reject if F > ______________
Conclude: ______________
The teaching methods ______________ equally effective.
Estimate the observed significance level of this test.
______________

Which of the following is an example of a binomial variable?

A) religion (Christian, Buddhist, Catholic, Agnostic)
B) race (White, Asian, African American, Hispanic, Native American)
C) age (over 65 or under 65)
D) highest degree (high school diploma, some college, BA, professional degree)

A merchant keeping inventory on cost price had a beginning inventory of $30,000, purchases of $150,000, and an ending inventory of $40,000. Compute the cost of goods sold.​

The students at York University are concerned about rising costs at their university.They surveyed 2000 undergraduate students at 10 other Canadian universities and recorded the following data for the current semester: cost of tuition,book cost,and room and board cost.

A) Who: York University; Cases: Each student is a separate case; What: Cost of tuition for the semester; When: Not specified; Where: 10 Canadian universities; Why: Concerned about rising costs at their own university; How: Surveyed students.
B) Who: York University undergraduate students; Cases: Each student is a separate case; What: Cost of tuition,book cost,and room and board cost for the semester; When: Current; Where: 10 Canadian universities; Why: Concerned about rising costs at their own university; How: Telephoned each student and asked for the information.
C) Who: 2000 undergraduate students at Canadian universities; Cases: Each student is a separate case; What: Cost of tuition,book cost,and room and board cost for the semester; When: Current; Where: 10 Canadian universities; Why: Concerned about rising costs at their own university; How: Surveyed students.
D) Who: 2000 undergraduate students at Canadian universities; Cases: Each student is a separate case; What: Cost of tuition,book cost,and room and board cost for the semester; When: Current; Where: Canada; Why: Concerned about rising costs at their own university; How: Surveyed students.
E) Who: 2000 undergraduate students at Canadian universities; Cases: Each university is a separate case; What: Cost of tuition,book cost,and room and board cost for the semester; When: Not specified; Where: Canada; Why: Want to decide whether to attend a different university; How: Surveyed students.

Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or underinsured driver.

Use the properties of logarithms to expand $\ln \sqrt[5]{\frac{x^2}{x+3}}$ .

A) $(\ln x{)}^{2/5}-\ln x\cdot \ln 3$
B) $-5(2\ln x-\ln (x+3)\; )$
C) $\frac{1}{5}(2\ln x-\ln x\cdot \ln 3)$
D) $\frac{2}{5}\ln x-\frac{1}{5}\ln (x+3)$
E) ${\left(\frac{(\ln x{)}^2}{\ln x+\ln 3}\right)}^{1/5}$