The following data was collected about students in Mr. Rexinger's high school statistics class. Wearing jeansNot wearing jeans Has long hair(below chi

Dolly Robinson

Dolly Robinson

Answered question

2021-06-29

The following data was collected about students in Mr. Rexinger's high school statistics class. Wearing jeansNot wearing jeans Has long hair(below chin)77 Does not have long hair 513

1) Mr. Rexinger is playing a game with his students. He randomly chooses a mystery student from his class roster. If a player guesses the hair length of the mystery student correctly, the player gets an early-lunch pass. Madeline is the next player. To have the greatest chance of winning an early-lunch pass, should she guess that the student has long hair? Explain.

2) Mr. Rexinger tells Madeline that the mystery student is wearing jeans. Would you advise Madeline to change her guess? Explain.

3) In a previous course, you may have studied the association of two numerical variables by analyzing scatterplots and least squares regression lines. Associations between categorical events, like having long hair or wearing jeans, are determined by independence-if two events are independent, then they are not associated. Are the events {not having long hair} and {wearing jeans} associated for the students in Mr. Rexinger's class today? Explain the independence relationship using P(A given B)=P(A).

4) Are the events {not having long hair} and {wearing jeans} mutually exclusive? Explain.

Answer & Explanation

Alannej

Alannej

Skilled2021-06-30Added 104 answers

1. No, there are more students than there are with long hair because of this disparity.
2. Yes, compared to students without long hair who also wear jeans, students with long hair are more prevalent.
3. Yes, they are associated (not independent) because knowing if a student wears jeans has changed our opinion. 
4. No, becatise they can occur at the same time.

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