A study of Box Office and Concession Sales Recorded and Analyzed by Lauren Calhoun Amy Gimpel

1. A study of Box Office and Concession Sales Recorded and Analyzed by Lauren Calhoun Amy Gimpel And Rebecca Smith Wanna Catch A Movie?

2. 1. Introduction / History 5. Tests & Intervals 8. Drawing Conclusions: Box Office 2. Purpose 6. Interactive Activity and Graph 9. Drawing Conclusions: Concessions 3. Data Collection 7. Error and Bias 4. Exploratory Data Analysis Wanna Catch A Movie?

3. Introduction and Topic History • Collected data pertaining to movies • Frank’s Theaters • Founded in 1906 by Samuel Frank • Owned/managed 150+ entertainment facilities • Helped Penn-Jersey areas develop • Owns several other types of entertainment facilities • AMC Theaters • Founded by Dubinski brothers’ in 1920 • Began multi-screen theatres • Created many innovations for the theatre industry

4. Purpose • To determine the current most popular genre of movie based on ticket sales • And how certain variables affect the sales • To determine how much the average person spends on concessions at the movies • And how certain variables affect how much one spends

5. Data Collection • Box Office • Genre of Movie purchased • Gender • How many tickets purchased • Age (Child, Student, Adult, Senior) • Time of Day • Which Theater • Concessions • Total spent • Gender • How many people in party • Age (Child, Student, Adult, Senior) • Time of Day • Which Theater Frank’s Theaters and AMC (309 Montgomeryville) Spent time that spanned matinee and evening sales Recorded data for every fourth customer at both box office and concessions

6. Exploratory Data Analysis Box Office Concessions Movie Genre Frequency Money Spent Movie Genre by Gender Money Spent by Age Money Spent by Gender Movie Genre by Age Money Spent by Number of People in Party

7. Movie Genre Frequency Action – selected 25 times, 18.519% Comedy – 40 times, 29.63% Drama – 13, 9.63% Family – 57, 42.222% Fewest subjects (13) purchased tickets to a drama Most subjects (57) purchased tickets to a family movie

8. Genre by Gender • Females • Most (27 times or 42.188%) purchased tickets to a comedy, although 26 (40.625%) purchased family movie tickets • Fewest (4 or 6.25%) purchased tickets to an action film • Males • Most (31 or 43.66% ) purchased tickets to a family movie • Fewest (6 or 8.451%) purchased tickets to a drama

9. Genre by Age • Adult • Most (44 times or 20.213%) purchased tickets to a family movie • Fewest (3 or 3.191%) purchased tickets to a drama • Senior • Most (8 or 36.364%) purchased tickets to a family movie • Fewest (2 or 9.091%) purchased tickets to an action movie • Student • Most (7 or 36.842%) purchased tickets to a comedy • Fewest (3 or 15.789%) purchased tickets to a drama

10. Money Spent • Right skewed and unimodal • Median - $15.60 • Highest frequency: $10.00 - $15.00 (32 occurrences) • 5 Outliers = • $39.25, $41.15, $55.02, $56.50, $68.55

11. Money Spent by Gender • Both right skewed and unimodal • Women • Median - $16.25 • Most spent $10.00 - $15.00 or $15.00 - $20.00 (16 for each category) • Outlier - $68.55 • Men • Median - $14.80 • Most (17) spent $10.00 - $15.00 • Outliers • $41.15, $55.02, $56.50

12. Money Spent by Age • All are right skewed and unimodal • Adults • Median – $15.75 • Most (18) spent $10.00 - $15.00 • Outliers • $41.15, $55.02, $68.55 • Seniors • Median – $11.25 • Most (7) spent $10.00 - $15.00 • Outliers • $31.19, $32.50, $56.50 • Students • Median – $16.72 • Most (10) spent $15.00 - $20.00 • Outlier = $35.16

13. Money Spent by Number of People in Party • Granular • You can’t have halves of people • 45% of the change in the total amount spent is explained by the change in how many people are in the group • Correlation of .67

14. Tests and Intervals Box Office Concessions Chi-Square Tests for Independence 2 Sample T-Test Money Spent / Gender Money Spent / Theater Movie Genre / Gender Movie Genre / Theater Money Spent / Cash or Credit Money Spent / Matinee or Evening Movie Genre/ Age Movie Genre / Matinee or Evening T-Interval for average amount spent at Concessions

15. Chi-Square Test for Independence:Movie Genre / Gender Ho: There is no association between Genre and Gender Ha: There is an association between Genre and Gender Ho: There is no association between Genre and Gender Ha: There is an association between Genre and Gender All conditions met  x2 distribution  x2 test for independence All conditions met  x2 distribution  x2 test for independence All conditions met  x2 distribution  x2 test for independence • x2 = 16.66 • P(x2> 16.66 | df = 3) = .00083 • We reject the claim because the p-value of .00083 is less than the alpha of .05. We have sufficient evidence that there is an association between Genre and Gender. • x2 = 16.66 • P(x2> 16.66 | df = 3) = .00083 • We reject the claim because the p-value of .00083 is less than the alpha of .05. We have sufficient evidence that there is an association between Genre and Gender. Ho: There is no association between Genre and Gender Ha: There is an association between Genre and Gender

16. Chi-Square Test for Independence:Movie Genre / Age Ho: There is no association between Genre and Age Ha: There is an association between Genre and Age Ho: There is no association between Genre and Age Ha: There is an association between Genre and Age All conditions met  x2 distribution  x2 test for independence All conditions met  x2 distribution  x2 test for independence All conditions met  x2 distribution  x2 test for independence • x2 = 19.78, • P(x2> 19.78 | df = 6) = .003 • We reject the claim because the p-value of .003 is less than the alpha of .05. We have sufficient evidence there is an association between genre and age. • x2 = 19.78, • P(x2> 19.78 | df = 6) = .003 • We reject the claim because the p-value of .003 is less than the alpha of .05. We have sufficient evidence there is an association between genre and age. • x2 = 19.78, • P(x2> 19.78 | df = 6) = .003 • We reject the claim because the p-value of .003 is less than the alpha of .05. We have sufficient evidence there is an association between genre and age. • x2 = 19.78, • P(x2> 19.78 | df = 6) = .003 • We reject the claim because the p-value of .003 is less than the alpha of .05. We have sufficient evidence there is an association between genre and age.

17. Chi-Square Test for Independence:Movie Genre / Theater Ho: There is no association between Genre and Theater Ha: There is an association between Genre and Theater Ho: There is no association between Genre and Theater Ha: There is an association between Genre and Theater Ho: There is no association between Genre and Theater Ha: There is an association between Genre and Theater Ho: There is no association between Genre and Theater Ha: There is an association between Genre and Theater All conditions met  x2 distribution  x2 test for independence All conditions met  x2 distribution  x2 test for independence All conditions met  x2 distribution  x2 test for independence • x2 = 10.2, • P(x2> 10.2 | df = 3) = .017 • We reject the claim because the p-value of .017 is less that the alpha of .05. We have sufficient evidence that there is an association between Genre and Theatre. • x2 = 10.2, • P(x2> 10.2 | df = 3) = .017 • We reject the claim because the p-value of .017 is less that the alpha of .05. We have sufficient evidence that there is an association between Genre and Theatre.

18. Chi-Square Test for Independence:Movie Genre / Matinee or Evening Ho: There is no association between Genre and Time of Day Ha: There is an association between Genre and Time of Day Ho: There is no association between Genre and Time of Day Ha: There is an association between Genre and Time of Day All conditions met  x2 distribution  x2 test for independence • x2 = 18.85 • P(x2> 18.85| df = 3) = .00029 • We reject the claim because the p-value of .00029 is less than the alpha of .05. We have sufficient evidence that there is an association between Genre and Time of Day.

19. 2 Sample T-Test:Money Spent / Gender All conditions met  t-distribution  2-sample t-test • t = .1877 • 2 *P(t > .1877 | df = 105.1) = .85 • We fail to reject the claim because the p-value of .85 is greater than the alpha of .05. We have sufficient evidence that the average total spent by females is equal to the average total spent by males. • t = .1877 • 2 *P(t > .1877 | df = 105.1) = .85 • We fail to reject the claim because the p-value of .85 is greater than the alpha of .05. We have sufficient evidence that the average total spent by females is equal to the average total spent by males.

20. 2 Sample T-Test:Money Spent / Cash or Credit All conditions met  t-distribution  2-sample t-test • t = -2, • 2 * P(t<-2 | df = 61.4) = .05 • We reject the claim because p-value of .05 is equal to the alpha of .05. We have sufficient evidence that the average total spent paid for by cash is not equal to the average total spend paid for by credit.

21. 2-Sample T-TestMoney Spent / Theater All conditions met  t-distribution  2-sample t-test All conditions met  t-distribution  2-sample t-test All conditions met  t-distribution  2-sample t-test • t = 4.905 • 2 * P(t > 4.905 | df = 96.6) = <0.0001 • We reject the claim because the p-value of less than .0001 is less than the alpha of .05. We have sufficient evidence that the average total spent at AMC is not equal to the average total spent at Franks. • t = 4.905 • 2 * P(t > 4.905 | df = 96.6) = <0.0001 • We reject the claim because the p-value of less than .0001 is less than the alpha of .05. We have sufficient evidence that the average total spent at AMC is not equal to the average total spent at Franks. • t = 4.905 • 2 * P(t > 4.905 | df = 96.6) = <0.0001 • We reject the claim because the p-value of less than .0001 is less than the alpha of .05. We have sufficient evidence that the average total spent at AMC is not equal to the average total spent at Franks.

22. 2-Sample T-TestMoney Spent / Matinee or Evening All conditions met  t-distribution  2-sample t-test • t = -2.492 • 2 * P(t<-2.492 | df = 101.1) = .014 • We reject the claim because the p-value of .014 is less than the alpha of .05. We have sufficient evidence that the average total spent during the day is not equal to the average total spent at night.

23. T-Interval for Average Amount Spent at Concessions All conditions met  t-distribution  1-sample t-interval • df = 110 • (15.97, 20.11) • We are 95% confident that the average total spent at concessions is between $15.97 and $20.11.

24. Interactive Activity How does the most popular movie our Stat Class picked compare with our Student data? Most Popular Movie Genre of recorded students in the Montgomery area: Comedy Most Popular Movie in Ms. McNelis’s 4th Block AP Stat Class: ? Most Popular Movie Genre in Ms. McNelis’s 4th Block AP Stat Class: ?

25. Error and Bias • Only used Montgomery-area theaters • Rebecca’s co-workers recorded at Frank’s • Current movie releases • Example: Women wouldn’t typically see mostly comedies, this can be attributed to Bridesmaids • Release date / Film Age • At Concessions we guessed ages (Box Office used ticket purchased) • Could have misheard customers or employees during transactions

26. Drawing Conclusions • Box Office • General: Family is most popular genre (42.2% of Montgomery-area 309 moviegoers) • Age • Adults - Family movies are most popular (46.8%) • Seniors - Family movies are most popular (31.8%) • Students - Comedies are most popular (36.8%) • There IS an association between genre and age (Chi-Square Independence test) • Gender • Females – Comedies are most popular (42.2%) • Males – Family movies are most popular (43.7%) • There IS an association between genre and gender (Chi-Square Independence test) • There IS an association between genre and matinee / evening (Chi-Square Independence test) • Our AP Class vs. our recorded Student Data

27. Cont. Cont. • Concessions • General • Median total spent at concessions: $15.60 • Mode is between $10.00 and $15.00 • 45 % of the change in total spent is explained by the change in the number of people in the party of the buyer • We are 95% confident that the average total spent at concessions is between $15.97 and $20.11 (T-Interval) • Gender • Female median of $16.25 > male median of $14.80 • The average total spent by females is equal to the average total spent by males (2 – Sample T – Test)

28. Concessions Continued • Age • Student median of $16.72 > adult median of $15.75 > senior median of $11.25 • Theater • The average total spent at Frank’s Theaters is not equal to the average total spent at AMC Theaters (2 – Sample T – Test) • Cash or Credit? • The average total spent using cash is not equal to the average total spent using credit (2 – Sample T-Test) • Matinee or Evening • The average total spent during Matinee time is not equal to the average total spent during Evening time (2 – Sample T – Test)

29. 1. Introduction / History 5. Tests & Intervals 8. Drawing Conclusions: Box Office 2. Purpose 6. Interactive Activity and Graph 9. Drawing Conclusions: Concessions 3. Data Collection 7. Error and Bias 4. Exploratory Data Analysis Final Conclusions Wanna Catch A Movie?

30. Original Purposes To determine the current most popular genre of movie based on ticket sales. To determine how much the average person spends on concessions at the movies. Conclusions • The most popular movie genre, overall, is the family move genre. • The average person spends between $15.97 and $20.11 at concessions.