This video tutorial, led by AP Stats teacher Luke Wilcox, provides a comprehensive review of two multifocus free-response questions that are likely to appear on the AP Statistics exam. The first question involves analyzing the relationship between chest circumference and weight of Tuli elk using scatter plots and regression analysis. The second question compares teaching years between two high schools using histograms, focusing on mean, median, and standard deviation. The session emphasizes key statistical concepts such as regression, hypothesis testing, and data interpretation, providing students with essential skills for exam success.

What is the main focus of the first question discussed in the session?

• Estimating the height of Tuli elk using chest circumference.

• Estimating the weight of Tuli elk using chest circumference.

• Estimating the speed of Tuli elk using chest circumference.

• Estimating the age of Tuli elk using chest circumference.

Which of the following best describes the relationship between chest circumference and weight of Tuli elk?

• Strong positive linear relationship.

• Weak negative linear relationship.

• Strong negative linear relationship.

• No relationship.

What is the predicted weight of a Tuli elk with a chest circumference of 145 cm?

• 210.5 kg

• 190.2 kg

• 196.7 kg

• 204.3 kg

How does the predicted weight of a Tuli elk change with each additional cm of chest circumference?

• Remains the same

• Decreases by 3.7455 kg

• Increases by 4.5 kg

• Increases by 3.7455 kg

What is the null hypothesis in the test comparing Tuli elk and Sandar deer regression slopes?

• The slope for Tuli elk equals 4.5.

• The slope for Tuli elk is less than 4.5.

• The slope for Tuli elk is greater than 4.5.

• The slope for Tuli elk is not equal to 4.5.

What is the calculated p-value for the hypothesis test comparing regression slopes?

• 0.1

• 0.01

• 0.05

• 0.2

Which high school has a median teaching year of six?

• High School B

• Both High Schools

• Neither High School

• High School A

What is the new mean teaching year for High School A after including 18 additional teachers?

• 7.73 years

• 8.2 years

• 6.5 years

• 7.0 years

What is the probability that a randomly selected teacher from High School B has a teaching year within one standard deviation of the mean?

• 0.75

• 0.90

• 0.80

• 0.8552

What is the standard deviation of the teaching years for High School B?

• 5.2

• 6.2

• 7.2

• 8.2