# QNT 275 Final Exam 2017 – Students Suffer from Math Anxiety

The following table gives the two-way classification of 500 students based on sex and whether or not they Suffer from Math Anxiety

• Sex – Yes –  No
• Male – 168  – 72
• Female – 167 –  93

If you randomly select one student from these 500 students, the probability that this selected student is a female is:

Start by adding up all females (167+93), then divide by the sample size of 500.

52.000%

If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety is:

Add up all the yeses (168+167), then divide by 500.

67.000%

If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety, given that he is a male is:

Divide the total males (168+72) by the number of males with math anxiety 168.

70.000%

If you randomly select one student from these 500 students, the probability that this selected student is a female, given that she does not suffer from math anxiety is:

Divide the total of the no responses (72+93), then by female no responses 93.

56.364%

Which of the following pairs of events are mutually exclusive?

(Highlighted items ARE mutually exclusive).

1. No and yes
2. Male and yes
3. Female and male
4. Female and no
5. Female and yes
6. Male and no

Are the events “Has math anxiety” and “Person is female” independent or dependent? Detail the calculations you performed to determine this.

Person is female is INDEPENDENT because math anxiety does not determine what gender a person is.

Has math anxiety is DEPENDENT because gender can influence whether or not a person answers yes or no to having math anxiety.

• Student: Lonny McDowell
• Textbook: QNT 275 Statistics Fundamentals
• Course: QNT 275 Final Exam 2017