Use the Movie Database Sample to conduct a hypothesis test to determine whether the mean running time of movies rated "G", "PG", "PG-13", and "R" are all equal. Specify the conditions that must be satisfied in order to apply this hypothesis testing procedure.

Movie Title MPAA Year Running Worldwide Genre Oscar Rating Released Time Gross Noms A Bug's Life Animation G 3661 95 $363,398,56 Good Will Hunting Drama R 1997 126 $225,933,435 9 Sherlock Holmes Adventure PG-13 2009 128 $524,028,679 2 Toy Story 3 Animation G 2010 103 $1,063,171,911 5 Mission: Impossible Action PG-13 1996 110 $457,696,359 Ghost Drama PG-13 1990 127 $505,702,588 5 How to Train Your Dragon Animation PG 2010 98 $494,878,759 2 The Fifth Element Action PG-13 1997 126 $263,920,180 Harry Potter and the Chamber of Secrets Adventure PG 2002 161 $878,979,634 0 The Full Monty Comedy R 1997 91 $257,938,649 4 Twins Comedy PG 1988 105 $216,614,38 0 Saving Private Ryan Drama R 1998 169 $481,840,909 1 1 ron Man 2 Action PG-13 2010 124 $623,933,331 1 Mamma Mia! Musical PG-13 2008 108 $609,841,637 0 The Hunch Back of Notre Dame Animation G 1996 91 $325,338,851 Erin Brockovich Drama R 2000 131 $256,271,286 5 Catch Me If You Can Drama PG-13 2002 141 $352,114,312 2 Fahrenheit 9/1 1 Documentary R 2004 122 $222,446,882 0 Dirty Dancing Drama PG-13 1987 100 $213,954,274 Finding Nemo Animation G 2003 100 $867,893,978 4 Space Jam Comedy PG 1996 88 $230,418,342 0 Men in Black Comedy PG-13 1997 98 $589,390,539 3 Ghostbusters Comedy PG 1984 105 $291,632,124 2 I Am Legend Drama PG-13 2007 101 $585,349,010 0 Beverly Hills Cop Comedy R 1984 105 $316,360,478 Austin Powers in Goldmember Comedy PG-13 2002 94 $296,655,43 0 The King's Speech Drama R 2010 1 18 $414,211,549 12 Ratatouille Animation G 2007 111 $623,722,818 5 Bridesmaids Comedy R 2011 125 $288,383,523 2 The English Patient Drama R 1996 162 $231,976,425 12Year Movie Title MPAA Worldwide Oscar Genre Running Rating Released Time Gross Nom The Bourne Identity Action PG-13 2002 119 $214,034,224 Twister Drama PG-13 1996 113 $494,471,524 2 Return of the Jedi Adventure PG 1983 134 $475,106,177 4 Grease Musical PG-13 1978 1 10 $394,955,690 Rain Man Drama R 1988 133 $354,825,435 8 Titanic Adventure PG-13 1997 194 $1,843,201,268 14 The Dark Knight Action PG-13 2008 152 $1,001,921,825 8 300 Action R 2007 117 $456,068,181 0 The Godfather Drama R 1972 175 $245,066,41 1 Star Wars Adventure PG 1977 121 $775,398,007 11 Jaws Thriller PG 1975 124 $470,653,000 4 Forrest Gump Drama PG-13 1994 142 $677,387,716 13 Monsters, Inc. Animation G 2001 92 $525,366,597 4 A Beautiful Mind Drama PG-13 2001 135 $313,542,341 8 E.T.: The Extra-Terrestrial Adventure PG 1982 1 15 $792,910,554 9 The Matrix Action R 199 136 $463,517,383 4 The Polar Express Animation G 2004 100 $306,845,028 3 Waterworld Adventure PG-13 99 135 $264,218,220 Transformers: Dark of the Moon Action PG-13 2011 154 $1,123,746,996 3 The Jungle Book Animation G 1967 78 $205,843,612 Philadelphia Drama PG-13 1993 125 $206,678,440 5 Batman and Robin Action PG-13 1997 125 $238,207,122 0 Saturday Night Fever Drama R 1977 118 $237,113,184 Dead Poets Society Drama PG 1989 128 $235,860,116 4 The Social Network Drama PG-13 2010 120 $224,920,315 8 Braveheart Drama R 995 177 $210,409,945 10 The Blair Witch Project Horror R 1999 81 $248,639,099 0 Bambi Animation G 1942 69 $267,447,150 3 Marley and Me Comedy PG 2008 1 15 $242,717,113 0 A Few Good Men Drama R 1992 138 $243,240,178 4