Question

complete the problems below for independent practice.
when you are done, check the solutions with a math teacher or tutor.
complete the two - way table.
3.

		preparation
gender	pass		6
	fail			10
	total	38		50

4.

		response
gender	student	56
	teacher		7	10
	total		49

Explanation:

Problem 3:

Step1: Find "Did Not Study" Total

Total students: 50, Studied total: 38. So Did Not Study total: \( 50 - 38 = 12 \).

Step2: Find "Did Not Study" in Fail

Did Not Study total: 12, Pass - Did Not Study: 6. So Fail - Did Not Study: \( 12 - 6 = 6 \).

Step3: Find "Fail - Studied"

Fail total: 10, Fail - Did Not Study: 6. So Fail - Studied: \( 10 - 6 = 4 \).

Step4: Find "Pass - Studied"

Studied total: 38, Fail - Studied: 4. So Pass - Studied: \( 38 - 4 = 34 \).

Step5: Find "Pass Total"

Total students: 50, Fail total: 10. So Pass total: \( 50 - 10 = 40 \).

Filling the table:

• Pass - Studied: 34, Pass - Total: 40 (since \( 34 + 6 = 40 \))
• Fail - Studied: 4, Fail - Did Not Study: 6
• Did Not Study - Total: 12 (since \( 6 + 6 = 12 \))

Problem 4:

Step1: Find "Teacher - Yes"

Teacher total: 10, Teacher - No: 7. So Teacher - Yes: \( 10 - 7 = 3 \).

Step2: Find "Student - No"

Total - No: 49, Teacher - No: 7. So Student - No: \( 49 - 7 = 42 \).

Step3: Find "Student - Total"

Student - Yes: 56, Student - No: 42. So Student - Total: \( 56 + 42 = 98 \).

Step4: Find "Total - Yes"

Teacher - Yes: 3, Student - Yes: 56. So Total - Yes: \( 56 + 3 = 59 \).

Step5: Find "Grand Total"

Total - Yes: 59, Total - No: 49. So Grand Total: \( 59 + 49 = 108 \).

Filling the table:

• Teacher - Yes: 3
• Student - No: 42, Student - Total: 98 ( \( 56 + 42 \))
• Total - Yes: 59, Grand Total: 108 ( \( 59 + 49 \))

Final Tables (Filled)

Problem 3 Table:

Gender \ Prep	Studied	Did Not Study	Total
Fail	4	6	10
Total	38	12	50

Problem 4 Table:

Gender \ Response	Yes	No	Total
Teacher	3	7	10
Total	59	49	108

(For the answer, if you need the filled values in the original table blanks, here are the key fills:

Problem 3 blanks:

• Pass - Studied: 34, Pass - Total: 40
• Fail - Studied: 4, Fail - Did Not Study: 6
• Did Not Study - Total: 12

Problem 4 blanks:

• Teacher - Yes: 3
• Student - No: 42, Student - Total: 98
• Total - Yes: 59, Grand Total: 108 )

Answer:

(Key Fills Summary):

Problem 3:

• Pass - Studied: 34, Pass - Total: 40
• Fail - Studied: 4, Fail - Did Not Study: 6
• Did Not Study - Total: 12

Problem 4:

• Teacher - Yes: 3
• Student - No: 42, Student - Total: 98
• Total - Yes: 59, Grand Total: 108